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ANÁLISIS Y EVALUACIÓN DE RIESGO SÍSMICO EN LÍNEAS VITALES. CASO DE ESTUDIO BOGOTÁ D.C. ANEXO No. 10 GRAFICAS DE LAS CURVAS DE VULNERABILIDAD NÚMERO DE CURVAS: 72 DATOS XY: 2 ECUACIÓN: 6 NORMALES: 8 LOGNORMALES: 49 AGRUPADAS: 7

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ANÁLISIS Y EVALUACIÓN DE RIESGO SÍSMICO EN LÍNEAS VITALES. CASO DE ESTUDIO BOGOTÁ D.C.

ANEXO No. 10

GRAFICAS DE LAS CURVAS DE VULNERABILIDAD

NÚMERO DE CURVAS: 72

DATOS XY: 2

ECUACIÓN: 6

NORMALES: 8

LOGNORMALES: 49

AGRUPADAS: 7

0 20 40 60 80 100

0.0

1.0

2.0

3.0

10 30 50 70 90

0.25

0.75

1.25

1.75

2.25

2.75

Estudio de Riesgo Sísmico en Líneas Vitales. Curvas de Vulnerabilidad.*** Cada curva con diferentes factores de corrección

Tipo de Gráfica: Varios

ALA (2001) − O' Rourke & Ayala (1993) − Eidinger & Avila (1999) − Isoyama (2000) − Isoyama (1998) − JWA (1998)Las curvas aplican para Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

●●

●●

●●

ALA (2001) −− Y =

0.00187

0.3048

*

1

2.54

* X −− (inv_id=21, pav_id=31)

O' Rourke & Ayala (1993) −− Y =

1

104

* X

2.25 −− (inv_id=22, pav_id=32)

Eidinger & Avila (1999) −− Y =

0.00032

0.3048*2.541.98

* X

1.98 −− (inv_id=23, pav_id=33)

Isoyama (2000) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=24, pav_id=34)Isoyama (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=25, pav_id=35)

Japan Waterworks Association (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=26, pav_id=36)

Eidinger − G & E (2001) −− Sin formula −− (inv_id=28, pav_id=38)

RR/Km vs PGV

ALA (2001)O' Rourke & Ayala (1993)Eidinger & Avila (1999)Isoyama (2000)Isoyama (1998)Japan Waterworks Association (1998)Eidinger − G & E (2001)

1

0 200 400 600 800 1000

010

020

030

040

050

0

50 150

250

350

450

550

650

750

850

950

50

150

250

350

450

Estudio de Riesgo Sísmico en Líneas Vitales. Curvas de Vulnerabilidad.*** Cada curva con diferentes factores de corrección

Tipo de Gráfica: Varios

ALA (2001) − O' Rourke & Ayala (1993) − Eidinger & Avila (1999) − Isoyama (2000) − Isoyama (1998) − JWA (1998) − Eidinger − G & E (2001)Las curvas aplican para Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

● ● ● ● ● ● ● ● ● ● ●

ALA (2001) −− Y =

0.00187

0.3048

*

1

2.54

* X −− (inv_id=21, pav_id=31)

O' Rourke & Ayala (1993) −− Y =

1

104

* X

2.25 −− (inv_id=22, pav_id=32)

Eidinger & Avila (1999) −− Y =

0.00032

0.3048*2.541.98

* X

1.98 −− (inv_id=23, pav_id=33)

Isoyama (2000) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=24, pav_id=34)Isoyama (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=25, pav_id=35)

Japan Waterworks Association (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=26, pav_id=36)

Eidinger − G & E (2001) −− Sin formula −− (inv_id=28, pav_id=38)

RR/Km vs PGV

ALA (2001)O' Rourke & Ayala (1993)Eidinger & Avila (1999)Isoyama (2000)Isoyama (1998)Japan Waterworks Association (1998)Eidinger − G & E (2001)

2

0 20 40 60 80 100

1e−05

1e−04

0.001

0.01

0.1

125

Estudio de Riesgo Sísmico en Líneas Vitales. Curvas de Vulnerabilidad.*** Cada curva con diferentes factores de corrección

Tipo de Gráfica: Varios

ALA (2001) − O' Rourke & Ayala (1993) − Eidinger & Avila (1999) − Isoyama (2000) − Isoyama (1998) − JWA (1998)Las curvas aplican para Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

●●

● ● ● ●

ALA (2001) −− Y =

0.00187

0.3048

*

1

2.54

* X −− (inv_id=21, pav_id=31)

O' Rourke & Ayala (1993) −− Y =

1

104

* X

2.25 −− (inv_id=22, pav_id=32)

Eidinger & Avila (1999) −− Y =

0.00032

0.3048*2.541.98

* X

1.98 −− (inv_id=23, pav_id=33)

Isoyama (2000) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=24, pav_id=34)Isoyama (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=25, pav_id=35)

Japan Waterworks Association (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=26, pav_id=36)

Eidinger − G & E (2001) −− Sin formula −− (inv_id=28, pav_id=38)

RR/Km vs PGV

ALA (2001)O' Rourke & Ayala (1993)Eidinger & Avila (1999)Isoyama (2000)

Isoyama (1998)Japan Waterworks Association (1998)Eidinger − G & E (2001)

3

0 20 40 60 80 100

1e−05

1e−04

0.001

0.01

0.1

12

Estudio de Riesgo Sísmico en Líneas Vitales. Curvas de Vulnerabilidad.*** Cada curva con diferentes factores de corrección

Tipo de Gráfica: Varios

ALA (2001) − O' Rourke & Ayala (1993) − Eidinger & Avila (1999) − Isoyama (2000) − Isoyama (1998) − JWA (1998)Las curvas aplican para Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

●●

● ● ● ●

ALA (2001) −− Y =

0.00187

0.3048

*

1

2.54

* X −− (inv_id=21, pav_id=31)

O' Rourke & Ayala (1993) −− Y =

1

104

* X

2.25 −− (inv_id=22, pav_id=32)

Eidinger & Avila (1999) −− Y =

0.00032

0.3048*2.541.98

* X

1.98 −− (inv_id=23, pav_id=33)

Isoyama (2000) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=24, pav_id=34)Isoyama (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=25, pav_id=35)

Japan Waterworks Association (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=26, pav_id=36)

Eidinger − G & E (2001) −− Sin formula −− (inv_id=28, pav_id=38)

RR/Km vs PGV

ALA (2001)O' Rourke & Ayala (1993)Eidinger & Avila (1999)Isoyama (2000)

Isoyama (1998)Japan Waterworks Association (1998)Eidinger − G & E (2001)

4

0 20 40 60 80 100

0.00

0.05

0.10

0.15

0.20

0.25

10 30 50 70 900.025

0.075

0.125

0.175

0.225

ALA (2001). Seismic Fragility Formulations For Water System. Part 1. Factor de Corrección K1 (material, diámetro, tipo de unión, tipo de suelos)

Tipo de Gráfica: Ecuación

ALA (2001)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

ALA (2001) −− Y =

0.00187

0.3048

*

1

2.54

* X −− (inv_id=21, pav_id=31)

ALA (2001). American Lifelines Alliance

ALA (2001)

Y =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* XY =

0.00187

0.3048

*

1

2.54

* X

5

0 20 40 60 80 100

0.0

0.5

1.0

1.5

2.0

2.5

3.0

10 30 50 70 900.25

0.75

1.25

1.75

2.25

2.75

O' Rourke & Ayala (1993). HAZUS − FEMA 1999.Factor de corrección igual a 0.3 para tuberías dúctiles

Tipo de Gráfica: Ecuación

O' Rourke & Ayala (1993)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

O' Rourke & Ayala (1993) −− Y =

1

104

* X

2.25 −− (inv_id=22, pav_id=32)

O' Rourke & Ayala (1993)

O' Rourke & Ayala (1993)

Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25Y =

1

104

* X

2.25

6

0 20 40 60 80 100

0.0

0.5

1.0

1.5

10 30 50 70 90

0.25

0.75

1.25

● ● ● ● ●●

●●

●●

Eidinger & Avila (1999). Eidinger et al. (1995, 1998).Factor de Corrección K1 (material, diámetro, tipo de unión, tipo de suelos)

Tipo de Gráfica: Ecuación

Eidinger & Avila (1999)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

Eidinger & Avila (1999) −− Y =

0.00032

0.3048*2.541.98

* X

1.98 −− (inv_id=23, pav_id=33)

Eidinger & Avila (1999)

Eidinger & Avila (1999)

Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98Y =

0.00032

0.3048*2.541.98

* X

1.98

7

0 20 40 60 80 100

0.0

0.2

0.4

0.6

0.8

1.0

10 30 50 70 900.1

0.3

0.5

0.7

0.9

Isoyama (2000)Factores de Corrección: Material (Bp), diámetro (Bd), terreno (Bg), licuefacción (Bl).

Tipo de Gráfica: Ecuación

Isoyama (2000)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

Isoyama (2000) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=24, pav_id=34)

Isoyama (2000)

Isoyama (2000)

Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3

8

0 20 40 60 80 100

0.0

0.2

0.4

0.6

0.8

1.0

10 30 50 70 900.1

0.3

0.5

0.7

0.9

Isoyama (1998)Factores de Corrección: Material (Cp), diámetro (Cd)

Tipo de Gráfica: Ecuación

Isoyama (1998)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

Isoyama (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=25, pav_id=35)

Isoyama (1998)

Isoyama (1998)

Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3

9

0 20 40 60 80 100

0.0

0.2

0.4

0.6

0.8

1.0

10 30 50 70 900.1

0.3

0.5

0.7

0.9

Japan Waterworks Association (1998)Factores de Corrección: Material (Cp), diámetro (Cd), terreno (Cg), licuefacción (Cl).

Tipo de Gráfica: Ecuación

Japan Waterworks Association (1998)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

Japan Waterworks Association (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=26, pav_id=36)

Japan Waterworks Association (1998)

Japan Waterworks Association (1998)

Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3

10

0 160 320 480 640 800

0.0

0.5

1.0

1.5

2.0

80 240

400

560

720

0.25

0.75

1.25

1.75

JICA (2002). Propuesta para Colombia. Pag 4−44.Factores de Corrección: Material (Cp), diámetro (Cd), terreno (Cg), licuefacción (Cl).

Tipo de Gráfica: Datos X,Y

JICA (2002)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (GALES) − 1 GAL = 1 CM

S2

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

JICA (2002) −− Sin formula −− (inv_id=27, pav_id=37)

JICA (2002)

JICA (2002)

11

0 20 40 60 80 100

0.0

0.5

1.0

1.5

10 30 50 70 90

0.25

0.75

1.25

Eidinger − G & E Report (2001). UNIANDES y DPAE (2005)Factores de Corrección: Tipo de juntas (K1), edad tubería (K2), esfuerzos subsidencia (K3)

Tipo de Gráfica: Datos X,Y

Eidinger − G & E (2001)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGV − Velocidad Pico del Terreno Cm

Seg

Tasa

de

Rep

arac

ione

s (R

epai

r R

ate)

por

Kiló

met

ro

RR

/Km

Eidinger − G & E (2001) −− Sin formula −− (inv_id=28, pav_id=38)

Eidinger − G & E Report (2001)

Eidinger − G & E (2001)

12

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB1Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ● ● ●

Probabilidad >= Leve: Sa=0.4, β=0.6 − (inv_id=29, pav_id=39)Probabilidad >= Moderado: Sa=0.5, β=0.6 − (inv_id=30, pav_id=40)Probabilidad >= Extensivo: Sa=0.7, β=0.6 − (inv_id=31, pav_id=41)Probabilidad >= Completo: Sa=0.9, β=0.6 − (inv_id=32, pav_id=42)

Daño en Puentes. HWB1

Probabilidad >= LeveProbabilidad >= Moderado

Probabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

13

0 1 2 3 4 5

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB2Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ● ● ● ● ●

Probabilidad >= Leve: Sa=0.6, β=0.6 − (inv_id=33, pav_id=43)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=34, pav_id=44)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=35, pav_id=45)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=36, pav_id=46)

Daño en Puentes. HWB2

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

14

0 1 2 3 4 5

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB3Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ● ● ● ●

Probabilidad >= Leve: Sa=0.8, β=0.6 − (inv_id=37, pav_id=47)Probabilidad >= Moderado: Sa=1, β=0.6 − (inv_id=38, pav_id=48)

Probabilidad >= Extensivo: Sa=1.2, β=0.6 − (inv_id=39, pav_id=49)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=40, pav_id=50)

Daño en Puentes. HWB3

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

15

0.0 0.5 1.0 1.5

0.0

0.2

0.4

0.6

0.8

0.25

0.75

1.25

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB3Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

● ●

Probabilidad >= Leve: Sa=0.8, β=0.6 − inv_id=37, pav_id=47Probabilidad >= Moderado: Sa=1, β=0.6 − inv_id=38, pav_id=48

Probabilidad >= Extensivo: Sa=1.2, β=0.6 − inv_id=39, pav_id=49Probabilidad >= Completo: Sa=1.7, β=0.6 − inv_id=40, pav_id=50

Daño en Puentes. HWB3

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

16

0 1 2 3 4 5

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB4Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ● ● ● ●

Probabilidad >= Leve: Sa=0.8, β=0.6 − (inv_id=41, pav_id=51)Probabilidad >= Moderado: Sa=1, β=0.6 − (inv_id=42, pav_id=52)

Probabilidad >= Extensivo: Sa=1.2, β=0.6 − (inv_id=43, pav_id=53)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=44, pav_id=54)

Daño en Puentes. HWB4

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

17

0.0 0.5 1.0 1.5 2.0

0.0

0.2

0.4

0.6

0.8

0.25

0.75

1.25

1.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB4Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

● ●

Probabilidad >= Leve: Sa=0.8, β=0.6 − inv_id=41, pav_id=51Probabilidad >= Moderado: Sa=1, β=0.6 − inv_id=42, pav_id=52

Probabilidad >= Extensivo: Sa=1.2, β=0.6 − inv_id=43, pav_id=53Probabilidad >= Completo: Sa=1.7, β=0.6 − inv_id=44, pav_id=54

Daño en Puentes. HWB4

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

18

0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00

0.0

0.2

0.4

0.6

0.8

1.0

0.12

5

0.37

5

0.62

5

0.87

5

1.12

5

1.37

5

1.62

5

1.87

5

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB5Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ●

Probabilidad >= Leve: Sa=0.25, β=0.6 − (inv_id=45, pav_id=55)Probabilidad >= Moderado: Sa=0.35, β=0.6 − (inv_id=46, pav_id=56)Probabilidad >= Extensivo: Sa=0.45, β=0.6 − (inv_id=47, pav_id=57)Probabilidad >= Completo: Sa=0.70, β=0.6 − (inv_id=48, pav_id=58)

Daño en Puentes. HWB5

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

19

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB6Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ● ● ●

Probabilidad >= Leve: Sa=0.3, β=0.6 − (inv_id=49, pav_id=59)Probabilidad >= Moderado: Sa=0.5, β=0.6 − (inv_id=50, pav_id=60)Probabilidad >= Extensivo: Sa=0.6, β=0.6 − (inv_id=51, pav_id=61)Probabilidad >= Completo: Sa=0.9, β=0.6 − (inv_id=52, pav_id=62)

Daño en Puentes. HWB6

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

20

0 1 2 3 4 5 6

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

5.5

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB7Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve: Sa=0.5, β=0.6 − (inv_id=53, pav_id=63)Probabilidad >= Moderado: Sa=0.8, β=0.6 − (inv_id=54, pav_id=64)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=55, pav_id=65)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=56, pav_id=66)

Daño en Puentes. HWB7

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

21

0.0 0.5 1.0 1.5 2.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB8Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ●

Probabilidad >= Leve: Sa=0.35, β=0.6 − (inv_id=57, pav_id=67)Probabilidad >= Moderado: Sa=0.45, β=0.6 − (inv_id=58, pav_id=68)Probabilidad >= Extensivo: Sa=0.55, β=0.6 − (inv_id=59, pav_id=69)Probabilidad >= Completo: Sa=0.8, β=0.6 − (inv_id=60, pav_id=70)

Daño en Puentes. HWB8

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

22

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB9Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ●

Probabilidad >= Leve: Sa=0.6, β=0.6 − (inv_id=61, pav_id=71)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=62, pav_id=72)Probabilidad >= Extensivo: Sa=1.3, β=0.6 − (inv_id=63, pav_id=73)Probabilidad >= Completo: Sa=1.6, β=0.6 − (inv_id=64, pav_id=74)

Daño en Puentes. HWB9

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

23

0 1 2 3 4

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB10Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ●

Probabilidad >= Leve: Sa=0.6, β=0.6 − (inv_id=65, pav_id=75)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=66, pav_id=76)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=67, pav_id=77)Probabilidad >= Completo: Sa=1.5, β=0.6 − (inv_id=68, pav_id=78)

Daño en Puentes. HWB10

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

24

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB11Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ●

Probabilidad >= Leve: Sa=0.9, β=0.6 − (inv_id=69, pav_id=79)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=70, pav_id=80)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=71, pav_id=81)Probabilidad >= Completo: Sa=1.5, β=0.6 − (inv_id=72, pav_id=82)

Daño en Puentes. HWB11

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

25

0.0 0.5 1.0 1.5 2.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB12Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ●

Probabilidad >= Leve: Sa=0.25, β=0.6 − (inv_id=73, pav_id=83)Probabilidad >= Moderado: Sa=0.35, β=0.6 − (inv_id=74, pav_id=84)Probabilidad >= Extensivo: Sa=0.45, β=0.6 − (inv_id=75, pav_id=85)Probabilidad >= Completo: Sa=0.7, β=0.6 − (inv_id=76, pav_id=86)

Daño en Puentes. HWB12

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

26

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB13Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ● ● ●

Probabilidad >= Leve: Sa=0.3, β=0.6 − (inv_id=77, pav_id=87)Probabilidad >= Moderado: Sa=0.5, β=0.6 − (inv_id=78, pav_id=88)Probabilidad >= Extensivo: Sa=0.6, β=0.6 − (inv_id=79, pav_id=89)Probabilidad >= Completo: Sa=0.9, β=0.6 − (inv_id=80, pav_id=90)

Daño en Puentes. HWB13

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

27

0 1 2 3 4 5 6

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

5.5

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB14Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve: Sa=0.5, β=0.6 − (inv_id=81, pav_id=91)Probabilidad >= Moderado: Sa=0.8, β=0.6 − (inv_id=82, pav_id=92)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=83, pav_id=93)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=84, pav_id=94)

Daño en Puentes. HWB14

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

28

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB15Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ●

Probabilidad >= Leve: Sa=0.75, β=0.6 − (inv_id=85, pav_id=95)Probabilidad >= Moderado: Sa=0.75, β=0.6 − (inv_id=86, pav_id=96)Probabilidad >= Extensivo: Sa=0.75, β=0.6 − (inv_id=87, pav_id=97)Probabilidad >= Completo: Sa=1.1, β=0.6 − (inv_id=88, pav_id=98)

Daño en Puentes. HWB15

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

29

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB16Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ●

Probabilidad >= Leve: Sa=0.9, β=0.6 − (inv_id=89, pav_id=99)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=90, pav_id=100)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=91, pav_id=101)Probabilidad >= Completo: Sa=1.5, β=0.6 − (inv_id=92, pav_id=102)

Daño en Puentes. HWB16

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

30

0.0 0.5 1.0 1.5 2.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB17Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ●

Probabilidad >= Leve: Sa=0.25, β=0.6 − (inv_id=93, pav_id=103)Probabilidad >= Moderado: Sa=0.35, β=0.6 − (inv_id=94, pav_id=104)Probabilidad >= Extensivo: Sa=0.45, β=0.6 − (inv_id=95, pav_id=105)Probabilidad >= Completo: Sa=0.7, β=0.6 − (inv_id=96, pav_id=106)

Daño en Puentes. HWB17

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

31

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB18Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ● ● ●

Probabilidad >= Leve: Sa=0.3, β=0.6 − (inv_id=97, pav_id=107)Probabilidad >= Moderado: Sa=0.5, β=0.6 − (inv_id=98, pav_id=108)Probabilidad >= Extensivo: Sa=0.6, β=0.6 − (inv_id=99, pav_id=109)Probabilidad >= Completo: Sa=0.9, β=0.6 − (inv_id=100, pav_id=110)

Daño en Puentes. HWB18

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

32

0 1 2 3 4 5

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB19Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

● ● ● ● ● ● ● ● ●

Probabilidad >= Leve: Sa=0.5, β=0.6 − (inv_id=101, pav_id=111)Probabilidad >= Moderado: Sa=0.8, β=0.6 − (inv_id=102, pav_id=112)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=103, pav_id=113)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=104, pav_id=114)

Daño en Puentes. HWB19

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

33

0.0 0.5 1.0 1.5 2.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB20Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ●

Probabilidad >= Leve: Sa=0.35, β=0.6 − (inv_id=105, pav_id=115)Probabilidad >= Moderado: Sa=0.45, β=0.6 − (inv_id=106, pav_id=116)Probabilidad >= Extensivo: Sa=0.55, β=0.6 − (inv_id=107, pav_id=117)Probabilidad >= Completo: Sa=0.8, β=0.6 − (inv_id=108, pav_id=118)

Daño en Puentes. HWB20

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

34

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB21Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ●

Probabilidad >= Leve: Sa=0.6, β=0.6 − (inv_id=109, pav_id=119)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=110, pav_id=120)Probabilidad >= Extensivo: Sa=1.3, β=0.6 − (inv_id=111, pav_id=121)Probabilidad >= Completo: Sa=1.6, β=0.6 − (inv_id=112, pav_id=122)

Daño en Puentes. HWB21

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

35

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB22Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ●

Probabilidad >= Leve: Sa=0.6, β=0.6 − (inv_id=113, pav_id=123)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=114, pav_id=124)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=115, pav_id=125)Probabilidad >= Completo: Sa=1.5, β=0.6 − (inv_id=116, pav_id=126)

Daño en Puentes. HWB22

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

36

0 1 2 3 4 5 6

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

5.5

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB23Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve: Sa=0.9, β=0.6 − (inv_id=117, pav_id=127)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=118, pav_id=128)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=119, pav_id=129)Probabilidad >= Completo: Sa=1.5, β=0.6 − (inv_id=120, pav_id=130)

Daño en Puentes. HWB23

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

37

0.0 0.5 1.0 1.5 2.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB24Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ●

Probabilidad >= Leve: Sa=0.25, β=0.6 − (inv_id=121, pav_id=131)Probabilidad >= Moderado: Sa=0.35, β=0.6 − (inv_id=122, pav_id=132)Probabilidad >= Extensivo: Sa=0.45, β=0.6 − (inv_id=123, pav_id=133)Probabilidad >= Completo: Sa=0.70, β=0.6 − (inv_id=124, pav_id=134)

Daño en Puentes. HWB24

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

38

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB25Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ● ● ●

Probabilidad >= Leve: Sa=0.3, β=0.6 − (inv_id=125, pav_id=135)Probabilidad >= Moderado: Sa=0.5, β=0.6 − (inv_id=126, pav_id=136)Probabilidad >= Extensivo: Sa=0.6, β=0.6 − (inv_id=127, pav_id=137)Probabilidad >= Completo: Sa=0.9, β=0.6 − (inv_id=128, pav_id=138)

Daño en Puentes. HWB25

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

39

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB26Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ●

Probabilidad >= Leve: Sa=0.75, β=0.6 − (inv_id=129, pav_id=139)Probabilidad >= Moderado: Sa=0.75, β=0.6 − (inv_id=130, pav_id=140)Probabilidad >= Extensivo: Sa=0.75, β=0.6 − (inv_id=131, pav_id=141)Probabilidad >= Completo: Sa=1.1, β=0.6 − (inv_id=132, pav_id=142)

Daño en Puentes. HWB26

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

P[ds|Sa] = Φ

1

βds

ln

Sa

Sads

40

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB27Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●● ● ●

Probabilidad >= Leve: Sa=0.7, β=0.6 − (inv_id=133, pav_id=143)Probabilidad >= Moderado: Sa=0.75, β=0.6 − (inv_id=134, pav_id=144)Probabilidad >= Extensivo: Sa=0.75, β=0.6 − (inv_id=135, pav_id=145)Probabilidad >= Completo: Sa=1.1, β=0.6 − (inv_id=136, pav_id=146)

Daño en Puentes. HWB27

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds

41

0 1 2 3 4 5

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

0.1

0.3

0.5

0.7

0.9

Daño en Puentes. HWB28Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | S

a]

●●

●●

● ● ● ● ● ● ● ●

Probabilidad >= Leve: Sa=0.8, β=0.6 − (inv_id=137, pav_id=147)Probabilidad >= Moderado: Sa=1, β=0.6 − (inv_id=138, pav_id=148)

Probabilidad >= Extensivo: Sa=1.2, β=0.6 − (inv_id=139, pav_id=149)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=140, pav_id=150)

Daño en Puentes. HWB28

Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds

42

1e−02 5e−02 5e−01 5e+00 5e+01 5e+02

020

4060

8010

0

0.01

0.02

0.03 0.

10.

1

0.2

0.3 11 2 3 1010 20 30 100

100

200

300

1000

10

30

50

70

90

Plantas de Tratamiento AguaAcueducto.

Tipo de Gráfica: NORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−10 Tabla 8.1.a)Función de Restauración Plantas de Tratamiento

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Tiempo (Días)

Por

cent

aje

Fun

cion

al

%

● ● ●●

● ● ● ● ● ● ● ●

Leve/Menor: µ (Días)=0.9, σ (Días)=0.3 − (inv_id=141, pav_id=151)Moderado: µ (Días)=1.9, σ (Días)=1.2 − (inv_id=142, pav_id=152)Extensivo: µ (Días)=32, σ (Días)=31 − (inv_id=143, pav_id=153)Completo: µ (Días)=95, σ (Días)=65 − (inv_id=144, pav_id=154)

Plantas de Tratamiento Agua

Leve/MenorModeradoExtensivoCompleto

% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds

43

1e−02 5e−02 1e−01 5e−01 1e+00 5e+00 1e+01 5e+01 1e+02

020

4060

8010

0

0.03 0.3 3 30

10

30

50

70

90

Plantas de Bombeo AguaAcueducto.

Tipo de Gráfica: NORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−10 Tabla 8.1.a)Función de Restauración Plantas de Bombeo

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Tiempo (Días)

Por

cent

aje

Fun

cion

al

%

● ● ●●

● ● ● ●

Leve/Menor: µ (Días)=0.9, σ (Días)=0.3 − (inv_id=145, pav_id=155)Moderado: µ (Días)=3.1, σ (Días)=2.7 − (inv_id=146, pav_id=156)Extensivo: µ (Días)=13.5, σ (Días)=10 − (inv_id=147, pav_id=157)Completo: µ (Días)=35, σ (Días)=18 − (inv_id=148, pav_id=158)

Plantas de Bombeo Agua

Leve/MenorModeradoExtensivoCompleto

% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds

44

1e−02 5e−02 1e−01 5e−01 1e+00 5e+00 1e+01 5e+01 1e+02

020

4060

8010

0

0.02

0.03 0.2

0.3 2 3 20 30

10

30

50

70

90

Pozos de AguaAcueducto.

Tipo de Gráfica: NORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−10 Tabla 8.1.a)Función de Restauración Pozos de Agua

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Tiempo (Días)

Por

cent

aje

Fun

cion

al

%

● ● ●

● ● ● ● ●

Leve/Menor: µ (Días)=0.8, σ (Días)=0.2 − (inv_id=149, pav_id=159)Moderado: µ (Días)=1.5, σ (Días)=1.2 − (inv_id=150, pav_id=160)Extensivo: µ (Días)=10.5, σ (Días)=7.5 − (inv_id=151, pav_id=161)

Completo: µ (Días)=26, σ (Días)=14 − (inv_id=152, pav_id=162)

Pozos de Agua

Leve/MenorModeradoExtensivoCompleto

% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds

45

1e−02 5e−02 5e−01 5e+00 5e+01 5e+02

020

4060

8010

0

0.01

0.02

0.03 0.

10.

1

0.2

0.3 11 2 3 1010 20 30 100

100

200

300

1000

10

30

50

70

90

Tantes de Almacenamiento de AguaAcueducto.

Tipo de Gráfica: NORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−10 Tabla 8.1.a)Función de Restauración Tanques de Almacenamiento

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Tiempo (Días)

Por

cent

aje

Fun

cion

al

%

● ● ●●

● ● ● ● ● ● ●

Leve/Menor: µ (Días)=1.2, σ (Días)=0.4 − (inv_id=153, pav_id=163)Moderado: µ (Días)=3.1, σ (Días)=2.7 − (inv_id=154, pav_id=164)Extensivo: µ (Días)=93, σ (Días)=85 − (inv_id=155, pav_id=165)

Completo: µ (Días)=155, σ (Días)=120 − (inv_id=156, pav_id=166)

Tantes de Almacenamiento de Agua

Leve/MenorModeradoExtensivoCompleto

% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds

46

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de Tratamiento − PWT1Subcomponentes Anclados. Acueducto. Plantas Pequeñas

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.3)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

●● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.25, β=0.5 − (inv_id=157, pav_id=167)Probabilidad >= Moderado: PGA=0.38, β=0.5 − (inv_id=158, pav_id=168)Probabilidad >= Extensivo: PGA=0.53, β=0.6 − (inv_id=159, pav_id=169)Probabilidad >= Completo: PGA=0.83, β=0.6 − (inv_id=160, pav_id=170)

Daño Plantas de Tratamiento − PWT1

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

47

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de Tratamiento − PWT2Subcomponentes No Anclados. Acueducto. Plantas Pequeñas

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.3)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.16, β=0.4 − (inv_id=161, pav_id=171)Probabilidad >= Moderado: PGA=0.27, β=0.4 − (inv_id=162, pav_id=172)Probabilidad >= Extensivo: PGA=0.53, β=0.6 − (inv_id=163, pav_id=173)Probabilidad >= Completo: PGA=1.7, β=0.6 − (inv_id=164, pav_id=174)

Daño Plantas de Tratamiento − PWT2

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

48

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de Tratamiento − PWT3Subcomponentes Anclados. Acueducto. Plantas Medianas

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.4)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

● ●

●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.37, β=0.4 − (inv_id=165, pav_id=175)Probabilidad >= Moderado: PGA=0.52, β=0.4 − (inv_id=166, pav_id=176)Probabilidad >= Extensivo: PGA=0.73, β=0.5 − (inv_id=167, pav_id=177)Probabilidad >= Completo: PGA=1.28, β=0.5 − (inv_id=168, pav_id=178)

Daño Plantas de Tratamiento − PWT3

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

49

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de Tratamiento − PWT4Subcomponentes No Anclados. Acueducto. Plantas Medianas

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.4)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.2, β=0.4 − (inv_id=169, pav_id=179)Probabilidad >= Moderado: PGA=0.35, β=0.4 − (inv_id=170, pav_id=180)Probabilidad >= Extensivo: PGA=0.75, β=0.5 − (inv_id=171, pav_id=181)Probabilidad >= Completo: PGA=1.28, β=0.5 − (inv_id=172, pav_id=182)

Daño Plantas de Tratamiento − PWT4

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

50

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de Tratamiento − PWT5Subcomponentes Anclados. Acueducto. Plantas Grandes

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.5)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

● ●

●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.44, β=0.4 − (inv_id=173, pav_id=183)Probabilidad >= Moderado: PGA=0.58, β=0.4 − (inv_id=174, pav_id=184)Probabilidad >= Extensivo: PGA=0.87, β=0.45 − (inv_id=175, pav_id=185)Probabilidad >= Completo: PGA=1.57, β=0.45 − (inv_id=176, pav_id=186)

Daño Plantas de Tratamiento − PWT5

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

51

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de Tratamiento − PWT6Subcomponentes No Anclados. Acueducto. Plantas Grandes

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.5)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.22, β=0.6 − (inv_id=177, pav_id=187)Probabilidad >= Moderado: PGA=0.35, β=0.6 − (inv_id=178, pav_id=188)Probabilidad >= Extensivo: PGA=0.87, β=0.6 − (inv_id=179, pav_id=189)Probabilidad >= Completo: PGA=1.57, β=0.6 − (inv_id=180, pav_id=190)

Daño Plantas de Tratamiento − PWT6

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

52

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de Bombeo / Estación Elevadora − PPP1Subcomponentes Anclados. Acueducto. Plantas Pequeñas

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−15 Tabla 8.6)Curva de Vulnerabilidad Plantas de Bombeo de Acueducto. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.15, β=0.7 − (inv_id=181, pav_id=191)Probabilidad >= Moderado: PGA=0.36, β=0.65 − (inv_id=182, pav_id=192)Probabilidad >= Extensivo: PGA=0.66, β=0.65 − (inv_id=183, pav_id=193)

Probabilidad >= Completo: PGA=1.5, β=0.8 − (inv_id=184, pav_id=194)

Daño Plantas de Bombeo / Estación Elevadora − PPP1

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

53

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de Bombeo / Estación Elevadora − PPP2Subcomponentes No Anclados. Acueducto. Plantas Pequeñas

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−15 Tabla 8.6)Curva de Vulnerabilidad Plantas de Bombeo de Acueducto. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.13, β=0.6 − (inv_id=185, pav_id=195)Probabilidad >= Moderado: PGA=0.28, β=0.5 − (inv_id=186, pav_id=196)Probabilidad >= Extensivo: PGA=0.66, β=0.65 − (inv_id=187, pav_id=197)

Probabilidad >= Completo: PGA=1.5, β=0.8 − (inv_id=188, pav_id=198)

Daño Plantas de Bombeo / Estación Elevadora − PPP2

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

54

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

3.25

3.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de Bombeo / Estación Elevadora − PPP3Subcomponentes Anclados. Acueducto. Plantas Medianas y Grandes

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−15 Tabla 8.7)Curva de Vulnerabilidad Plantas de Bombeo de Acueducto. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.15, β=0.75 − (inv_id=189, pav_id=199)Probabilidad >= Moderado: PGA=0.36, β=0.65 − (inv_id=190, pav_id=200)Probabilidad >= Extensivo: PGA=0.77, β=0.65 − (inv_id=191, pav_id=201)

Probabilidad >= Completo: PGA=1.5, β=0.8 − (inv_id=192, pav_id=202)

Daño Plantas de Bombeo / Estación Elevadora − PPP3

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

55

0 1 2 3 4 5

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

0.1

0.3

0.5

0.7

0.9

Daño Plantas de Bombeo / Estación Elevadora − PPP4Subcomponentes No Anclados. Acueducto. Plantas Medianas y Grandes

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−15 Tabla 8.7)Curva de Vulnerabilidad Plantas de Bombeo de Acueducto. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.13, β=0.6 − (inv_id=193, pav_id=203)Probabilidad >= Moderado: PGA=0.28, β=0.5 − (inv_id=194, pav_id=204)Probabilidad >= Extensivo: PGA=0.77, β=0.65 − (inv_id=195, pav_id=205)

Probabilidad >= Completo: PGA=1.5, β=0.8 − (inv_id=196, pav_id=206)

Daño Plantas de Bombeo / Estación Elevadora − PPP4

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

56

0 1 2 3 4 5

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

0.1

0.3

0.5

0.7

0.9

Daño Pozos de Agua Potable − PWE1. Acueducto

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−15 Tabla 8.8)Curva de Vulnerabilidad Pozos de Agua Potable. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.15, β=0.75 − (inv_id=197, pav_id=207)Probabilidad >= Moderado: PGA=0.36, β=0.65 − (inv_id=198, pav_id=208)Probabilidad >= Extensivo: PGA=0.72, β=0.65 − (inv_id=199, pav_id=209)

Probabilidad >= Completo: PGA=1.5, β=0.8 − (inv_id=200, pav_id=210)

Daño Pozos de Agua Potable − PWE1

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

57

0 1 2 3 4 5

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

0.1

0.3

0.5

0.7

0.9

Daño Tanques de Agua Potable − On−Ground − AncladoConcreto − PST1. Acueducto

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−16 Tabla 8.9)Curva de Vulnerabilidad Tanques de Agua Potable. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.25, β=0.55 − (inv_id=201, pav_id=211)Probabilidad >= Moderado: PGA=0.52, β=0.7 − (inv_id=202, pav_id=212)Probabilidad >= Extensivo: PGA=0.95, β=0.6 − (inv_id=203, pav_id=213)Probabilidad >= Completo: PGA=1.64, β=0.7 − (inv_id=204, pav_id=214)

Daño Tanques de Agua Potable − On−Ground − Anclado

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

58

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño Tanques de Agua Potable − On−Ground − No AncladoConcreto − PST2. Acueducto

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−16 Tabla 8.9)Curva de Vulnerabilidad Tanques de Agua Potable. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.18, β=0.6 − (inv_id=205, pav_id=215)Probabilidad >= Moderado: PGA=0.42, β=0.7 − (inv_id=206, pav_id=216)Probabilidad >= Extensivo: PGA=0.7, β=0.55 − (inv_id=207, pav_id=217)Probabilidad >= Completo: PGA=1.04, β=0.6 − (inv_id=208, pav_id=218)

Daño Tanques de Agua Potable − On−Ground − No Anclado

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

59

1e−02 5e−02 1e−01 5e−01 1e+00 5e+00 1e+01 5e+01 1e+02

020

4060

8010

0

0.02

0.03 0.2

0.3 2 3 20 30

10

30

50

70

90

Vías

Tipo de Gráfica: NORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−10 Tabla 7.4)Función de Restauración Vías

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Tiempo (Días)

Por

cent

aje

Fun

cion

al

%

● ● ●●

● ● ● ●

Leve/Menor: µ (Días)=0.9, σ (Días)=0.05 − (inv_id=209, pav_id=219)Moderado: µ (Días)=2.2, σ (Días)=1.8 − (inv_id=210, pav_id=220)Extensivo: µ (Días)=21, σ (Días)=16 − (inv_id=211, pav_id=221)Completo: µ (Días)=21, σ (Días)=16 − (inv_id=212, pav_id=222)

Vías

Leve/MenorModeradoExtensivoCompleto

% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds

60

1e−02 5e−02 5e−01 5e+00 5e+01 5e+02

020

4060

8010

0

0.01

0.02

0.03 0.

10.

1

0.2

0.3 11 2 3 1010 20 30 100

100

200

300

1000

10

30

50

70

90

Puentes

Tipo de Gráfica: NORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 7−10 Tabla 7.4)Función de Restauración Puentes

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Tiempo (Días)

Por

cent

aje

Fun

cion

al

%

● ● ●●

● ● ● ● ● ● ●

Leve/Menor: µ (Días)=0.6, σ (Días)=0.6 − (inv_id=213, pav_id=223)Moderado: µ (Días)=2.5, σ (Días)=2.7 − (inv_id=214, pav_id=224)Extensivo: µ (Días)=75, σ (Días)=42 − (inv_id=215, pav_id=225)

Completo: µ (Días)=230, σ (Días)=110 − (inv_id=216, pav_id=226)

Puentes

Leve/MenorModeradoExtensivoCompleto

% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds

61

0 1 2 3 4 5 6

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

5.5

0.1

0.3

0.5

0.7

0.9

Daño Tanques de Agua Potable − At Grade − No AncladoConcreto > 1 millón Galones. Factor de Daño: 0.015

Tipo de Gráfica: LOGNORMAL

Seismic Fragility Formulations for Water Systems − Part 1 Guideline − Pag 77 − Table 5−9Curva de Vulnerabilidad Tanques de Agua Potable. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

● ●

●● ● ● ● ● ● ● ● ● ● ● ●

Uplift of Wall − Leve Leakage: PGA=2, β=0.45 − (inv_id=217, pav_id=227)Cracking of Tank Wall − Loss of Contents: PGA=1.05, β=0.45 − (inv_id=218, pav_id=228)

Sliding of Talk Wall − Leve Leakage: PGA=0.25, β=0.45 − (inv_id=219, pav_id=229)Major Hoop Over−Stress − Loss of Contents: PGA=0.75, β=0.45 − (inv_id=220, pav_id=230)

Leve Hoop Over−Stress − Leve Leakage: PGA=0.45, β=0.45 − (inv_id=221, pav_id=231)Roof Failure: PGA=2.6, β=0.45 − (inv_id=222, pav_id=232)

Daño Tanques de Agua Potable − At Grade − No Anclado

Uplift of Wall − Leve LeakageCracking of Tank Wall − Loss of ContentsSliding of Talk Wall − Leve LeakageMajor Hoop Over−Stress − Loss of ContentsLeve Hoop Over−Stress − Leve LeakageRoof Failure

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

62

0 1 2 3 4 5 6

0.0

0.2

0.4

0.6

0.8

1.0

0.5

1.5

2.5

3.5

4.5

5.5

0.1

0.3

0.5

0.7

0.9

Daño Tanques de Agua Potable − At Grade − No AncladoConcreto > 1 millón Galones. Factor de Daño: 0.015

Tipo de Gráfica: LOGNORMAL

Seismic Fragility Formulations for Water Systems − Part 1 Guideline − Pag 77 − Table 5−9Curva de Vulnerabilidad Tanques de Agua Potable. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

● ●

●●

● ● ● ● ● ● ● ● ● ● ●

Uplift of Wall − Leve Leakage: PGA=2, β=0.45 − (inv_id=217, pav_id=227)Cracking of Tank Wall − Loss of Contents: PGA=1.05, β=0.45 − (inv_id=218, pav_id=228)

Sliding of Talk Wall − Leve Leakage: PGA=0.25, β=0.45 − (inv_id=219, pav_id=229)Major Hoop Over−Stress − Loss of Contents: PGA=0.75, β=0.45 − (inv_id=220, pav_id=230)

Leve Hoop Over−Stress − Leve Leakage: PGA=0.45, β=0.45 − (inv_id=221, pav_id=231)Roof Failure: PGA=2.6, β=0.45 − (inv_id=222, pav_id=232)

Daño Tanques de Agua Potable − At Grade − No Anclado

Uplift of Wall − Leve LeakageCracking of Tank Wall − Loss of ContentsSliding of Talk Wall − Leve LeakageMajor Hoop Over−Stress − Loss of ContentsLeve Hoop Over−Stress − Leve LeakageRoof Failure

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

63

0 2 4 6 8

0.0

0.2

0.4

0.6

0.8

1.0

1 3 5 70.1

0.3

0.5

0.7

0.9

Daño Tanques de Agua Potable − At Grade − AncladoConcreto − 50 a 1 millón de Galones. Factor de Daño: 0.1

Tipo de Gráfica: LOGNORMAL

Seismic Fragility Formulations for Water Systems − Part 1 Guideline − Pag 78 − Table 5−15Curva de Vulnerabilidad Tanques de Agua Potable. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●● ● ● ● ● ● ● ●

Uplift − Crush Concrete: PGA=1.3, β=0.5 − (inv_id=223, pav_id=233)Sliding: PGA=1.1, β=0.5 − (inv_id=224, pav_id=234)

Shearing of Tank Wall: PGA=1.6, β=0.5 − (inv_id=225, pav_id=235)Hoop Overstress: PGA=4.1, β=0.5 − (inv_id=226, pav_id=236)

Daño Tanques de Agua Potable − At Grade − Anclado

Uplift − Crush ConcreteSlidingShearing of Tank WallHoop Overstress

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

64

0.0 0.5 1.0 1.5 2.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de TratamientoWWT1 − Componentes Anclados. Alcantarillado. Plantas Pequeñas

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−39 Tabla 8.13)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.23, β=0.4 − (inv_id=227, pav_id=237)Probabilidad >= Moderado: PGA=0.35, β=0.4 − (inv_id=228, pav_id=238)Probabilidad >= Extensivo: PGA=0.48, β=0.5 − (inv_id=229, pav_id=239)Probabilidad >= Completo: PGA=0.80, β=0.55 − (inv_id=230, pav_id=240)

Daño Plantas de Tratamiento

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

65

0.0 0.5 1.0 1.5 2.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de TratamientoWWT2 − Componentes No Anclados. Alcantarillado. Plantas Pequeñas

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−39 Tabla 8.13)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.16, β=0.4 − (inv_id=231, pav_id=241)Probabilidad >= Moderado: PGA=0.26, β=0.4 − (inv_id=232, pav_id=242)Probabilidad >= Extensivo: PGA=0.48, β=0.5 − (inv_id=233, pav_id=243)Probabilidad >= Completo: PGA=0.80, β=0.55 − (inv_id=234, pav_id=244)

Daño Plantas de Tratamiento

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

66

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de TratamientoWWT3 − Componentes Anclados. Alcantarillado. Plantas Medianas

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−39 Tabla 8.14)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

● ●

●● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.33, β=0.4 − (inv_id=235, pav_id=245)Probabilidad >= Moderado: PGA=0.49, β=0.4 − (inv_id=236, pav_id=246)Probabilidad >= Extensivo: PGA=0.70, β=0.45 − (inv_id=237, pav_id=247)Probabilidad >= Completo: PGA=1.23, β=0.55 − (inv_id=238, pav_id=248)

Daño Plantas de Tratamiento

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

67

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de TratamientoWWT4 − Componentes No Anclados. Alcantarillado. Plantas Medianas

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−39 Tabla 8.14)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

●● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.2, β=0.4 − (inv_id=239, pav_id=249)Probabilidad >= Moderado: PGA=0.33, β=0.4 − (inv_id=240, pav_id=250)Probabilidad >= Extensivo: PGA=0.7, β=0.45 − (inv_id=241, pav_id=251)Probabilidad >= Completo: PGA=1.23, β=0.55 − (inv_id=242, pav_id=252)

Daño Plantas de Tratamiento

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

68

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de TratamientoWWT5 − Componentes Anclados. Alcantarillado. Plantas Grandes

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−40 Tabla 8.15)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

● ●

●● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.4, β=0.4 − (inv_id=243, pav_id=253)Probabilidad >= Moderado: PGA=0.56, β=0.4 − (inv_id=244, pav_id=254)Probabilidad >= Extensivo: PGA=0.84, β=0.4 − (inv_id=245, pav_id=255)Probabilidad >= Completo: PGA=1.5, β=0.4 − (inv_id=246, pav_id=256)

Daño Plantas de Tratamiento

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

69

0.0 0.5 1.0 1.5 2.0 2.5 3.0

0.0

0.2

0.4

0.6

0.8

1.0

0.25

0.75

1.25

1.75

2.25

2.75

0.1

0.3

0.5

0.7

0.9

Daño Plantas de TratamientoWWT6 − Componentes No Anclados. Alcantarillado. Plantas Grandes

Tipo de Gráfica: LOGNORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−40 Tabla 8.15)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

PGA − Aceleración Pico del Terreno (g's) [1g=9.81M

Seg2 = 981

Cm

Seg2 = 981 Gales]

Pro

babi

lidad

de

Exc

eden

cia

del E

stad

o de

Dañ

o

Pro

babi

lidad

[Ds

> d

s | P

GA

]

●●

● ● ● ● ● ● ● ● ● ● ● ● ● ●

Probabilidad >= Leve/Menor: PGA=0.22, β=0.4 − (inv_id=247, pav_id=257)Probabilidad >= Moderado: PGA=0.35, β=0.4 − (inv_id=248, pav_id=258)Probabilidad >= Extensivo: PGA=0.84, β=0.4 − (inv_id=249, pav_id=259)Probabilidad >= Completo: PGA=1.5, β=0.4 − (inv_id=250, pav_id=260)

Daño Plantas de Tratamiento

Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

P[ds|PGA] = Φ

1

βds

ln

PGA

PGAds

70

1e−01 5e−01 1e+00 5e+00 1e+01 5e+01 1e+02 5e+02 1e+03

020

4060

8010

0

0.2

0.3 2 3 20 30 200

300

10

30

50

70

90

Estaciones ElevadorasAlcantarillado.

Tipo de Gráfica: NORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−38 Tabla 8.12.a)Función de Restauración de Alcantarillado

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Tiempo (Días)

Por

cent

aje

Fun

cion

al

%

● ●●

● ● ● ● ● ● ●

Leve/Menor: µ (Días)=1.3, σ (Días)=0.7 − (inv_id=251, pav_id=261)Moderado: µ (Días)=3, σ (Días)=1.5 − (inv_id=252, pav_id=262)Extensivo: µ (Días)=21, σ (Días)=12 − (inv_id=253, pav_id=263)Completo: µ (Días)=65, σ (Días)=25 − (inv_id=254, pav_id=264)

Estaciones Elevadoras

Leve/MenorModeradoExtensivoCompleto

% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds

71

1e−02 5e−02 5e−01 5e+00 5e+01 5e+02

020

4060

8010

0

0.01

0.02

0.03 0.

10.

1

0.2

0.3 11 2 3 1010 20 30 100

100

200

300

1000

10

30

50

70

90

Plantas de TratamientoAlcantarillado.

Tipo de Gráfica: NORMAL

HAZUS MR4 Manual Técnico 2003 (Pag 8−38 Tabla 8.12.a)Función de Restauración de Alcantarillado

Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.

Tiempo (Días)

Por

cent

aje

Fun

cion

al

%

● ● ● ● ●●

● ● ● ● ● ● ●

Leve/Menor: µ (Días)=1.5, σ (Días)=1 − (inv_id=255, pav_id=265)Moderado: µ (Días)=3.6, σ (Días)=2.5 − (inv_id=256, pav_id=266)Extensivo: µ (Días)=55, σ (Días)=25 − (inv_id=257, pav_id=267)Completo: µ (Días)=160, σ (Días)=60 − (inv_id=258, pav_id=268)

Plantas de Tratamiento

Leve/MenorModeradoExtensivoCompleto

% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds

72