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Página 1 de 26
ANALISIS DE LA PRECIPITACION MAXIMA CONSIDERANDO FENOMENOS EL NIÑOANEXO III
PRUEBA DE BONDAD DE AJUSTE
Distribucion Normal
N° P(x) Z F(Z)
1 19.00 0.037 -1.53 0.06 0.03 NC=2 21.90 0.07 -1.18 0.12 0.05 Dx=3 22.10 0.11 -1.15 0.12 0.01 Dx/2=4 22.90 0.15 -1.06 0.15 0.005 23.10 0.19 -1.03 0.15 0.036 23.80 0.22 -0.95 0.17 0.057 24.40 0.26 -0.88 0.19 0.078 26.00 0.30 -0.68 0.25 0.059 27.40 0.33 -0.51 0.30 0.03
10 29.20 0.37 -0.30 0.38 0.0111 29.70 0.41 -0.24 0.41 0.0012 29.90 0.44 -0.21 0.42 0.0313 30.30 0.48 -0.16 0.43 0.0514 30.40 0.52 -0.15 0.44 0.0815 30.80 0.56 -0.10 0.46 0.1016 32.60 0.59 0.11 0.54 0.0517 33.30 0.63 0.20 0.58 0.0518 33.70 0.67 0.25 0.60 0.0719 35.20 0.70 0.43 0.66 0.0420 36.20 0.74 0.55 0.71 0.0321 37.10 0.78 0.66 0.74 0.0322 38.00 0.81 0.76 0.78 0.0423 41.20 0.85 1.15 0.87 0.0224 47.40 0.89 1.90 0.97 0.0825 48.00 0.93 1.97 0.98 0.0526 49.70 0.96 2.17 0.99 0.02
Suma (mm) 823.30 Dmax = 0.097Media (mm) 31.67D.Est. (mm) 8.30
Distribucion Log-Normal
N° P(x) Z F(Z)
1 19.00 2.94 0.04 -1.87 0.03 0.012 21.90 3.09 0.07 -1.32 0.09 0.023 22.10 3.10 0.11 -1.28 0.10 0.014 22.90 3.13 0.15 -1.14 0.13 0.025 23.10 3.14 0.19 -1.11 0.13 0.056 23.80 3.17 0.22 -0.99 0.16 0.067 24.40 3.19 0.26 -0.89 0.19 0.078 26.00 3.26 0.30 -0.65 0.26 0.049 27.40 3.31 0.33 -0.44 0.33 0.00
10 29.20 3.37 0.37 -0.19 0.42 0.0511 29.70 3.39 0.41 -0.13 0.45 0.0412 29.90 3.40 0.44 -0.10 0.46 0.0213 30.30 3.41 0.48 -0.05 0.48 0.0014 30.40 3.41 0.52 -0.04 0.49 0.0315 30.80 3.43 0.56 0.02 0.51 0.0516 32.60 3.48 0.59 0.24 0.59 0.0017 33.30 3.51 0.63 0.32 0.63 0.0018 33.70 3.52 0.67 0.37 0.64 0.0219 35.20 3.56 0.70 0.54 0.70 0.0020 36.20 3.59 0.74 0.65 0.74 0.0021 37.10 3.61 0.78 0.74 0.77 0.0122 38.00 3.64 0.81 0.84 0.80 0.0223 41.20 3.72 0.85 1.15 0.88 0.0224 47.40 3.86 0.89 1.70 0.96 0.0725 48.00 3.87 0.93 1.75 0.96 0.0326 49.70 3.91 0.96 1.89 0.97 0.01
Suma (mm) 823.30 89.01 Dmax = 0.074Media (mm) 31.67 3.42D.Est. (mm) 8.30 0.26
Del libro de Máximo Villón, pag. 131Y=ln(X)
P
(mm)
DxF(Z) - P(x)
P (mm) X
Ln P (Y)
DxF(Z) - P(x)
Z=(Y-Ymedia)/YD.S.
Página 2 de 26
ANALISIS DE LA PRECIPITACION MAXIMA CONSIDERANDO FENOMENOS EL NIÑOANEXO III
PRUEBA DE BONDAD DE AJUSTE
Distribucion Gumbel Modificado
N° P(X) y G(y)
1 19.00 0.04 -1.38 0.02 0.022 21.90 0.07 -0.93 0.08 0.003 22.10 0.11 -0.90 0.09 0.034 22.90 0.15 -0.78 0.11 0.035 23.10 0.19 -0.75 0.12 0.066 23.80 0.22 -0.64 0.15 0.077 24.40 0.26 -0.55 0.18 0.088 26.00 0.30 -0.30 0.26 0.049 27.40 0.33 -0.08 0.34 0.00
10 29.20 0.37 0.20 0.44 0.0711 29.70 0.41 0.27 0.47 0.0612 29.90 0.44 0.30 0.48 0.0313 30.30 0.48 0.37 0.50 0.0214 30.40 0.52 0.38 0.51 0.0115 30.80 0.56 0.44 0.53 0.0316 32.60 0.59 0.72 0.62 0.0217 33.30 0.63 0.83 0.65 0.0218 33.70 0.67 0.89 0.66 0.0019 35.20 0.70 1.12 0.72 0.0220 36.20 0.74 1.28 0.76 0.0221 37.10 0.78 1.42 0.78 0.0122 38.00 0.81 1.56 0.81 0.0023 41.20 0.85 2.05 0.88 0.0324 47.40 0.89 3.01 0.95 0.0625 48.00 0.93 3.10 0.96 0.0326 49.70 0.96 3.37 0.97 0.00
Suma (mm) 823.30 Dmax = 0.081Media (mm) 31.67D.Est. (S) 8.30 (Para N-1) muestral
6.4727.93
Del libro de Máximo Villón, páginas: 210-216
Distribucion Gumbel
N° P(X) z F(z)
1 19.00 0.04 -1.13 0.05 0.012 21.90 0.07 -0.75 0.12 0.053 22.10 0.11 -0.73 0.13 0.024 22.90 0.15 -0.62 0.16 0.015 23.10 0.19 -0.60 0.16 0.026 23.80 0.22 -0.50 0.19 0.037 24.40 0.26 -0.43 0.22 0.048 26.00 0.30 -0.22 0.29 0.019 27.40 0.33 -0.03 0.36 0.02
10 29.20 0.37 0.20 0.44 0.0711 29.70 0.41 0.27 0.46 0.0612 29.90 0.44 0.29 0.47 0.0313 30.30 0.48 0.35 0.49 0.0114 30.40 0.52 0.36 0.50 0.0215 30.80 0.56 0.41 0.52 0.0416 32.60 0.59 0.65 0.59 0.0017 33.30 0.63 0.74 0.62 0.0118 33.70 0.67 0.79 0.64 0.0319 35.20 0.70 0.99 0.69 0.0220 36.20 0.74 1.12 0.72 0.0221 37.10 0.78 1.23 0.75 0.0322 38.00 0.81 1.35 0.77 0.0423 41.20 0.85 1.77 0.84 0.0124 47.40 0.89 2.58 0.93 0.0425 48.00 0.93 2.66 0.93 0.0126 49.70 0.96 2.88 0.95 0.02
Suma (mm) 823.30 Dmax = 0.071Media (mm) 31.67D.Est. (S) 8.14 (Para N) poblacional
7.65 35.490027.66 183.1897
Del libro de Linsley, Hidrologia para Ingenieros y del boletin Nº 34, Analisis de Frecuencias de fenomenos en Hidrologia de Manuel Paulet(De tabla A-8, Pag. 583 del libro Engineering Hydrology de Victor Ponce, 1989)
P (mm) (X)
DxG(y) - P(x)
P (mm) (X)
DxF(z) - P(x)
n
S
yn=0 .5236
σ n=1.0628
αμ
α=√6πS μ=X−0 .5772156649α y=
X−αμ G( y )=e−e
− y
μ=X− ynα y=X−αμ
α
Página 3 de 26
ANALISIS DE LA PRECIPITACION MAXIMA CONSIDERANDO FENOMENOS EL NIÑOANEXO III
PRUEBA DE BONDAD DE AJUSTE
Distribucion Log-Pearson III
N° P(x)
1 19.00 1.28 -1.87 0.00 0.04 0.042 21.90 1.34 -1.32 0.19 0.07 0.113 22.10 1.34 -1.28 0.23 0.11 0.124 22.90 1.36 -1.14 0.23 0.15 0.085 23.10 1.36 -1.11 0.28 0.19 0.096 23.80 1.38 -0.99 0.29 0.22 0.077 24.40 1.39 -0.89 0.34 0.26 0.088 26.00 1.41 -0.65 0.36 0.30 0.069 27.40 1.44 -0.44 0.38 0.33 0.05
10 29.20 1.47 -0.19 0.48 0.37 0.1111 29.70 1.47 -0.13 0.52 0.41 0.1112 29.90 1.48 -0.10 0.54 0.44 0.0913 30.30 1.48 -0.05 0.56 0.48 0.0714 30.40 1.48 -0.04 0.61 0.52 0.0915 30.80 1.49 0.02 0.64 0.56 0.0916 32.60 1.51 0.24 0.74 0.59 0.1517 33.30 1.52 0.32 0.77 0.63 0.1418 33.70 1.53 0.37 0.83 0.67 0.1619 35.20 1.55 0.54 0.84 0.70 0.1420 36.20 1.56 0.65 0.89 0.74 0.1521 37.10 1.57 0.74 0.92 0.78 0.1422 38.00 1.58 0.84 0.96 0.81 0.1523 41.20 1.61 1.15 0.99 0.85 0.1424 47.40 1.68 1.70 1.05 0.89 0.1625 48.00 1.68 1.75 1.09 0.93 0.1626 49.70 1.70 1.89 1.10 0.96 0.14
Suma (mm) 823.30 38.656 Dmax = 0.164Media (mm) 31.67 1.487D.Est. (mm) 8.30 0.111Coef. Asimetria 0.1814
(*): De Tabla 12.3.1 del Libro de Hidrologia Aplicada de Ven Te Chow, Pag. 404; por interpolacion
P (mm) X
Log P (Log X)
kTF(kT)
(*)
DxF(kT) - P(x)
según el valor de kT
El valor de kT, se obtiene del libro de Hidrologia Aplicada de Ven Te Chow, pag. 400.
LogYTT SkLogYLogY
10 15 20 25 30 35 40 45 50 550.0
0.2
0.4
0.6
0.8
1.0
1.2
AJUSTE DE DISTRIBUCIONES DE PROBABILIDAD A LA PRECIPITACION MAXIMA
Dist. Empírica
Dist. Normal
Dist. Log Normal
Dist. Gumbel Modificado
Dist. Gumbel
Dist. Log Pearson III
PRECIPITACION MAXIMA DE 24 HORAS (mm)
PR
OB
AB
ILID
AD
AC
UM
UL
AD
A
kT=LogY T−LogY
S LogY
Página 4 de 26
ANEXO III
PRECIPITACIONES MAXIMA DE 24 HORAS
SERIE DE PRECIPITACIONES MAXIMAS DE 24 HORAS
Nº AÑO P mäx (mm) Log P máx Pmáx (A-Z)
1 1987 35.20 1.55 19.00
2 1988 30.80 1.49 21.90
3 1989 21.90 1.34 22.10
4 1990 23.10 1.36 22.90
5 1991 30.40 1.48 23.10
6 1992 22.90 1.36 23.80
7 1993 49.70 1.70 24.40
8 1994 38.00 1.58 26.00
9 1995 37.10 1.57 27.40
10 1996 33.70 1.53 29.20
11 1997 33.30 1.52 29.70
12 1998 36.20 1.56 29.90
13 1999 23.80 1.38 30.30
14 2000 30.30 1.48 30.40
15 2001 29.90 1.48 30.80
16 2002 41.20 1.61 32.60
17 2003 27.40 1.44 33.30
18 2004 26.00 1.41 33.70
19 2005 22.10 1.34 35.20
20 2006 32.60 1.51 36.20
21 2007 29.70 1.47 37.10
22 2008 48.00 1.68 38.00
23 2009 19.00 1.28 41.20
24 2010 24.40 1.39 47.40
25 2011 29.20 1.47 48.00
26 2012 47.40 1.68 49.70
Promedio 31.7 1.487
Desv. Estándar 8.30 0.111
Coef. Asimetria c.a. = 0.70 0.181
c.a./6 k = 0.030
Nº Datos n = 26 26
Distribuciones
Distribución Normal
TP w z
(años) (mm)2 0.500 1.177 0.00 31.67
5 0.200 1.794 0.84 38.65
10 0.100 2.146 1.28 42.30
20 0.050 2.448 1.65 45.31
25 0.040 2.537 1.75 46.19
50 0.020 2.797 2.05 48.71
100 0.010 3.035 2.33 50.97
140 0.007 3.144 2.45 51.99
200 0.005 3.255 2.58 53.04
500 0.002 3.526 2.88 55.55
1000 0.001 3.717 3.09 57.30
Usando la metodologia del libro de Hidrologia Aplicada de Ven Te Chow, pag 401
P T
Página 5 de 26
Distribución Log Normal
TP w z Log Pm
(años) (mm)2 0.500 1.177 0.000 1.487 30.67
5 0.200 1.794 0.841 1.580 38.04
10 0.100 2.146 1.282 1.629 42.57
20 0.050 2.448 1.645 1.670 46.72
25 0.040 2.537 1.751 1.681 48.00
50 0.020 2.797 2.054 1.715 51.87
100 0.010 3.035 2.327 1.745 55.62
140 0.007 3.144 2.450 1.759 57.40
200 0.005 3.255 2.576 1.773 59.28
500 0.002 3.526 2.879 1.806 64.04
1000 0.001 3.717 3.091 1.830 67.61
Distribución Log Pearson III
TP w z Log Pm
(años) (mm)2 0.500 1.1774 0.000 -0.030 1.48 30.44
5 0.200 1.7941 0.841 0.831 1.58 37.94
10 0.100 2.1460 1.282 1.299 1.63 42.77
20 0.050 2.4477 1.645 1.695 1.68 47.32
25 0.040 2.5373 1.751 1.812 1.69 48.76
50 0.020 2.7971 2.054 2.150 1.73 53.16
100 0.010 3.0349 2.327 2.460 1.76 57.54
140 0.007 3.1438 2.450 2.602 1.78 59.67
200 0.005 3.2552 2.576 2.747 1.79 61.93
500 0.002 3.5255 2.879 3.101 1.83 67.79
1000 0.001 3.7169 3.091 3.352 1.86 72.29
Usando la metodologia del libro de Hidrologia Aplicada de Ven Te Chow, pag 401-403
Distribución Extrema Tipo I- Gumbel
Para N = 20 datos;
T
(años) (mm)2 -0.1478 30.44
5 0.9186 39.29
10 1.6247 45.14
20 2.3020 50.76
25 2.5169 52.55 (De tabla A-8, Pag. 583 del libro Engineering Hydrology
50 3.1787 58.04 de Victor Ponce, 1989)
100 3.8357 63.49
140 4.1536 66.12
200 4.4902 68.92
500 5.3538 76.08
1000 6.0065 81.50
P T
Usando la metodologia del libro de Hidrologia Aplicada de Ven Te Chow, pag 401 Se debe tener en cuenta el ultimo parrafo de esta pagina; es decir que el procedimiento es el mismo excepto que este se aplica a los logaritmos de las variables y su media y desviacion estándar son usadas para la generacion de caudales.
KTP T
KTP T
Página 6 de 26
Distribución Extrema Tipo I- Gumbel Modificado
T
(años) (mm)5 0.7195 37.63
10 1.3046 42.49
20 1.8659 47.14
25 2.0439 48.62 (Pag. 225 del libro Engineering Hydrology
50 2.5924 53.17 de Victor Ponce, 1989)
100 3.1368 57.69
140 3.4003 59.87
200 3.6792 62.19
500 4.3949 68.13
1000 4.9357 72.61
PRECIPITACIONES MAXIMA DE 24 HR PARA DIFERENTES PERIODOS DE RETORNO
PGumbel
T2 0.500 31.67 30.67 30.44 30.44
5 0.200 38.65 38.04 37.94 39.29 37.63
10 0.100 42.30 42.57 42.77 45.14 42.49
20 0.050 45.31 46.72 47.32 50.76 47.14
25 0.040 46.19 48.00 48.76 52.55 48.62
50 0.020 48.71 51.87 53.16 58.04 53.17
100 0.010 50.97 55.62 57.54 63.49 57.69
140 0.007 51.99 57.40 59.67 66.12 59.87
200 0.005 53.04 59.28 61.93 68.92 62.19
500 0.002 55.55 64.04 67.79 76.08 68.13
1000 0.001 57.30 67.61 72.29 81.50 72.61
0.267 0.097 0.074 0.164 0.071 0.081
KTP T
Período de Retorno
Distribución Normal
Distribución Log Normal
Log Pearson III
Gumbel Modificado
XT XT XT XT XT
Delta c (Dc) =
1 10 100 1000 10000
0
10
20
30
40
50
60
70
80
90
PRECIPITACIONES MAXIMA DE 24 HR. vs PERIODOS DE RETORNO
Dist. Log Pearson IIIl
Dist. Gumbel Modificado
Dist. Normal
Dist. Log Normal
Dist. Gumbel
PERIODO DE RETORNO (Años)
PR
EC
IPIT
AC
ION
MA
XIM
A (
mm
)
Página 7 de 26
pt pacum
31.67 0.500
38.65 0.700
42.30 0.800
45.31 0.850
46.19 0.890
48.71 0.910
50.97 0.920
51.99 0.927
53.04 0.932
55.55 0.934
57.30 0.935
30 35 40 45 50 55 600.500.550.600.650.700.750.800.850.900.95
FUNCION ACUMULADA
PRECIPITACION (mm)
PRO
BABI
LIDAD
Página 8 de 26
pt pacum
30.675 0.500
38.040 0.700
42.573 0.800
46.721 0.850
48.003 0.890
51.872 0.910
55.617 0.920
57.404 0.927
59.281 0.932
64.045 0.934
67.613 0.935
pt pacum
30.439 0.500
37.941 0.700
42.767 0.800
47.321 0.850
48.756 0.890
53.163 0.910
57.540 0.920
59.666 0.927
61.927 0.932
67.788 0.934
72.292 0.935
pt pacum
30.44 0.500
39.29 0.700
45.14 0.800
50.76 0.850
52.55 0.890
58.04 0.910
63.49 0.920
66.12 0.927
68.92 0.932
76.08 0.934
81.50 0.935
25 30 35 40 45 50 55 60 65 700.500.550.600.650.700.750.800.850.900.95
FUNCION ACUMULADA
PRECIPITACION (mm)PR
OBA
BILID
AD
25 35 45 55 65 750.500.550.600.650.700.750.800.850.900.95
FUNCION ACUMULADA
PRECIPITACION (mm)
PRO
BABI
LIDAD
25 35 45 55 65 75 850.500.550.600.650.700.750.800.850.900.95
FUNCION ACUMULADA
PRECIPITACION (mm)
PRO
BABI
LIDAD
Página 9 de 26
pt pacum
37.634 0.700
42.489 0.800
47.145 0.850
48.622 0.890
53.172 0.910
57.689 0.920
59.875 0.927
62.189 0.932
68.126 0.934
72.613 0.935
PAC
31.7 30.7 30.4 30.4 0.500
38.6 38.0 37.9 39.3 37.6 0.700
42.3 42.6 42.8 45.1 42.5 0.800
45.3 46.7 47.3 50.8 47.1 0.850
46.2 48.0 48.8 52.5 48.6 0.890
48.7 51.9 53.2 58.0 53.2 0.910
51.0 55.6 57.5 63.5 57.7 0.920
52.0 57.4 59.7 66.1 59.9 0.927
53.0 59.3 61.9 68.9 62.2 0.932
55.5 64.0 67.8 76.1 68.1 0.934
57.3 67.6 72.3 81.5 72.6 0.935
25 35 45 55 65 75 850.500.550.600.650.700.750.800.850.900.95
FUNCION ACUMULADA
PRECIPITACION (mm)
PRO
BABI
LIDAD
25 35 45 55 65 750.70
0.75
0.80
0.85
0.90
0.95
FUNCION ACUMULADA
PRECIPITACION (mm)PR
OBA
BILID
AD
25.0 33.0 41.0 49.0 57.0 65.0 73.0 81.00.50
0.59
0.68
0.77
0.86
0.95
FUNCION ACUMULADA
DITRIBUCION NORMAL
DISTRIBUCION LOG NORMAL
LOG PEARSON TIPO III
GUMBEL
GUMBEL MODIFICADO
PRECIPITACION (mm)
PRO
BABI
LIDAD
1000
DURACION INTENSIDAD PROFUNDIDAD PROFUNDIDAD TIEMPO
ACUMULADA INCREMENTAL
(hr) (mm/hr) (mm) (mm) (min)
1 36.82 36.82 36.82 0-1
2 21.89 43.79 6.97 1-2
3 16.15 48.46 4.67 2-3
4 13.02 52.07 3.61 3-4
5 11.01 55.06 2.99 4-5
6 9.60 57.63 2.57 5-6
7 8.56 59.89 2.26 6-7
8 7.74 61.93 2.03 7-8
9 7.09 63.78 1.85 8-9
10 6.55 65.48 1.70 9-10
11 6.10 67.06 1.58 10-11
12 5.71 68.53 1.47 11-12
13 5.38 69.92 1.39 12-13
14 5.09 71.23 1.31 13-14
15 4.83 72.46 1.24 14-15
16 4.60 73.64 1.18 15-16
17 4.40 74.77 1.12 16-17
18 4.21 75.84 1.08 17-18
19 4.05 76.88 1.03 18-19
20 3.89 77.87 0.99 19-20
21 3.75 78.82 0.96 20-21
22 3.62 79.75 0.92 21-22
23 3.51 80.64 0.89 22-23
24 3.40 81.50 0.86 23-24
500
DURACION INTENSIDAD PROFUNDIDAD PROFUNDIDAD TIEMPO
ACUMULADA INCREMENTAL
(hr) (mm/hr) (mm) (mm) (min)
1 34.37 34.37 34.37 0-1
2 20.44 40.88 6.50 1-2
3 15.08 45.24 4.36 2-3
4 12.15 48.61 3.37 3-4
5 10.28 51.40 2.79 4-5
6 8.97 53.80 2.40 5-6
7 7.99 55.91 2.11 6-7
8 7.23 57.81 1.90 7-8
9 6.62 59.54 1.73 8-9
10 6.11 61.12 1.59 9-10
11 5.69 62.60 1.47 10-11
12 5.33 63.98 1.38 11-12
13 5.02 65.27 1.29 12-13
14 4.75 66.49 1.22 13-14
15 4.51 67.65 1.16 14-15
16 4.30 68.75 1.10 15-16
17 4.11 69.80 1.05 16-17
18 3.93 70.80 1.00 17-18
19 3.78 71.76 0.96 18-19
20 3.63 72.69 0.93 19-20
21 3.50 73.58 0.89 20-21
22 3.38 74.44 0.86 21-22
23 3.27 75.27 0.83 22-23
24 3.17 76.08 0.81 23-24
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00HIETOGRAMA DE DISEÑO TR = 1000 AÑOS
Duracion (Hr)
Prec
ipit
acio
n (m
m)
140
DURACION INTENSIDAD PROFUNDIDAD PROFUNDIDAD TIEMPO
ACUMULADA INCREMENTAL
(hr) (mm/hr) (mm) (mm) (min)
1 29.87 29.87 29.87 0-1
2 17.76 35.53 5.65 1-2
3 13.11 39.32 3.79 2-3
4 10.56 42.25 2.93 3-4
5 8.93 44.67 2.42 4-5
6 7.79 46.75 2.08 5-6
7 6.94 48.59 1.84 6-7
8 6.28 50.24 1.65 7-8
9 5.75 51.74 1.50 8-9
10 5.31 53.12 1.38 9-10
11 4.95 54.40 1.28 10-11
12 4.63 55.60 1.20 11-12
13 4.36 56.72 1.12 12-13
14 4.13 57.78 1.06 13-14
15 3.92 58.79 1.01 14-15
16 3.73 59.75 0.96 15-16
17 3.57 60.66 0.91 16-17
18 3.42 61.53 0.87 17-18
19 3.28 62.37 0.84 18-19
20 3.16 63.17 0.80 19-20
21 3.05 63.95 0.78 20-21
22 2.94 64.70 0.75 21-22
23 2.84 65.42 0.72 22-23
24 2.76 66.12 0.70 23-24
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00HIETOGRAMA DE DISEÑO T = 500 AÑOS
Duracion (Hr)
Prec
ipit
acio
n (m
m)
100
DURACION INTENSIDAD PROFUNDIDAD PROFUNDIDAD TIEMPO
ACUMULADA INCREMENTAL
(hr) (mm/hr) (mm) (mm) (min)
1 28.68 28.68 28.68 0-1
2 17.06 34.11 5.43 1-2
3 12.58 37.75 3.64 2-3
4 10.14 40.57 2.82 3-4
5 8.58 42.89 2.33 4-5
6 7.48 44.89 2.00 5-6
7 6.67 46.66 1.76 6-7
8 6.03 48.24 1.58 7-8
9 5.52 49.68 1.44 8-9
10 5.10 51.01 1.33 9-10
11 4.75 52.24 1.23 10-11
12 4.45 53.39 1.15 11-12
13 4.19 54.47 1.08 12-13
14 3.96 55.49 1.02 13-14
15 3.76 56.45 0.97 14-15
16 3.59 57.37 0.92 15-16
17 3.43 58.25 0.88 16-17
18 3.28 59.08 0.84 17-18
19 3.15 59.89 0.80 18-19
20 3.03 60.66 0.77 19-20
21 2.92 61.41 0.74 20-21
22 2.82 62.12 0.72 21-22
23 2.73 62.82 0.69 22-23
24 2.65 63.49 0.67 23-24
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00HIETOGRAMA DE DISEÑO TR = 140 AÑOS
Duracion (Hr)
Prec
ipit
acio
n (m
m)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00HIETOGRAMA DE DISEÑO TR = 100 AÑOS
Duracion (Hr)
Prec
ipit
acio
n (m
m)
T (Años) 1000 500 200
81.5 76.08 68.92
PR
EC
IPIT
AC
ION
(m
m)
36.82 34.37 31.1443.79 40.88 37.0348.46 45.24 40.9852.07 48.61 44.0455.06 51.40 46.5657.63 53.80 48.7359.89 55.91 50.6561.93 57.81 52.3763.78 59.54 53.9365.48 61.12 55.3767.06 62.60 56.7168.53 63.98 57.9569.92 65.27 59.1371.23 66.49 60.2372.46 67.65 61.2873.64 68.75 62.2874.77 69.80 63.2375.84 70.80 64.1476.88 71.76 65.0177.87 72.69 65.8578.82 73.58 66.6679.75 74.44 67.4480.64 75.27 68.1981.50 76.08 68.92
PRECIPITACION T (Años) 1000 500 200
81.5 76.08 68.92(mm)
PR
EC
IPIT
AC
ION
(m
m/H
r)
36.82 34.37 31.140.89 21.89 20.44 18.510.96 16.15 15.08 13.661.03 13.02 12.15 11.011.12 11.01 10.28 9.311.24 9.60 8.97 8.121.39 47.6 8.56 7.99 7.241.58 7.74 7.23 6.551.85 7.09 6.62 5.992.26 28.56 6.55 6.11 5.542.99 6.10 5.69 5.164.67 5.71 5.33 4.8336.82 5.38 5.02 4.556.97 5.09 4.75 4.303.61 4.83 4.51 4.092.57 4.60 4.30 3.892.03 4.40 4.11 3.721.70 4.21 3.93 3.561.47 4.05 3.78 3.421.31 3.89 3.63 3.291.18 3.75 3.50 3.171.08 3.62 3.38 3.070.99 3.51 3.27 2.96
Pmax 24 horas
Pmax 24 horas
0.92
PR
EC
IPIT
AC
ION
(m
m/H
r)
3.40 3.17 2.870.89
PRECIPITACION
(mm)
0.83
0.89
0.96
1.05
1.16
1.29
1.47
1.73
2.11
2.79
4.36
34.37
6.50
3.37
2.40
1.90
1.59
1.38
1.22
1.10
1.00
0.93
0.86
0.83
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00HIETOGRAMA DE DISEÑO TR = 1000 AÑOS
Duracion (Hr)
Prec
ipit
acio
n (m
m)
PRECIPITACION
(mm)
0.72
0.78
0.84
0.91
1.01
1.12
1.28
1.50
1.84
2.42
3.79
29.87
5.65
2.93
2.08
1.65
1.38
1.20
1.06
0.96
0.87
0.80
0.75
0.72
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00HIETOGRAMA DE DISEÑO T = 500 AÑOS
Duracion (Hr)
Prec
ipit
acio
n (m
m)
PRECIPITACION
(mm)
0.69
0.74
0.80
0.88
0.97
1.08
1.23
1.44
1.76
2.33
3.64
28.68
5.43
2.82
2.00
1.58
1.33
1.15
1.02
0.92
0.84
0.77
0.72
0.69
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00HIETOGRAMA DE DISEÑO TR = 140 AÑOS
Duracion (Hr)
Prec
ipit
acio
n (m
m)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00HIETOGRAMA DE DISEÑO TR = 100 AÑOS
Duracion (Hr)
Prec
ipit
acio
n (m
m)
140 100 50 25 20 10 5 2
66.12 63.49 58.04 52.55 50.76 45.14 39.29 30.44
29.87 28.68 26.22 23.74 22.93 20.39 17.75 13.75 135.53 34.11 31.18 28.23 27.27 24.25 21.11 16.35 239.32 37.75 34.51 31.25 30.18 26.84 23.36 18.10 342.25 40.57 37.08 33.58 32.43 28.84 25.10 19.45 444.67 42.89 39.21 35.50 34.29 30.50 26.54 20.57 546.75 44.89 41.04 37.16 35.89 31.92 27.78 21.52 648.59 46.66 42.65 38.62 37.30 33.17 28.87 22.37 750.24 48.24 44.10 39.93 38.57 34.30 29.85 23.13 851.74 49.68 45.42 41.12 39.72 35.32 30.75 23.82 953.12 51.01 46.63 42.22 40.78 36.27 31.57 24.46 1054.40 52.24 47.76 43.24 41.77 37.14 32.33 25.05 1155.60 53.39 48.81 44.19 42.68 37.96 33.04 25.60 1256.72 54.47 49.79 45.08 43.55 38.73 33.71 26.11 1357.78 55.49 50.72 45.93 44.36 39.45 34.34 26.60 1458.79 56.45 51.61 46.72 45.13 40.14 34.93 27.07 1559.75 57.37 52.45 47.48 45.87 40.79 35.50 27.51 1660.66 58.25 53.25 48.21 46.57 41.41 36.04 27.93 1761.53 59.08 54.01 48.90 47.24 42.01 36.56 28.33 1862.37 59.89 54.75 49.57 47.88 42.58 37.06 28.71 1963.17 60.66 55.45 50.21 48.50 43.13 37.54 29.08 2063.95 61.41 56.13 50.82 49.09 43.66 38.00 29.44 2164.70 62.12 56.79 51.42 49.67 44.17 38.44 29.78 2265.42 62.82 57.43 51.99 50.22 44.66 38.87 30.12 2366.12 63.49 58.04 52.55 50.76 45.14 39.29 30.44 24
140 100 50 25 20 10 5 2
66.12 63.49 58.04 52.55 50.76 45.14 39.29 30.44
29.87 28.68 26.22 23.74 22.93 20.39 17.75 13.75 117.76 17.06 15.59 14.12 13.64 12.13 10.55 8.18 213.11 12.58 11.50 10.42 10.06 8.95 7.79 6.03 310.56 10.14 9.27 8.39 8.11 7.21 6.28 4.86 48.93 8.58 7.84 7.10 6.86 6.10 5.31 4.11 57.79 7.48 6.84 6.19 5.98 5.32 4.63 3.59 66.94 6.67 6.09 5.52 5.33 4.74 4.12 3.20 76.28 6.03 5.51 4.99 4.82 4.29 3.73 2.89 85.75 5.52 5.05 4.57 4.41 3.92 3.42 2.65 95.31 5.10 4.66 4.22 4.08 3.63 3.16 2.45 104.95 4.75 4.34 3.93 3.80 3.38 2.94 2.28 114.63 4.45 4.07 3.68 3.56 3.16 2.75 2.13 124.36 4.19 3.83 3.47 3.35 2.98 2.59 2.01 134.13 3.96 3.62 3.28 3.17 2.82 2.45 1.90 143.92 3.76 3.44 3.11 3.01 2.68 2.33 1.80 153.73 3.59 3.28 2.97 2.87 2.55 2.22 1.72 163.57 3.43 3.13 2.84 2.74 2.44 2.12 1.64 173.42 3.28 3.00 2.72 2.62 2.33 2.03 1.57 183.28 3.15 2.88 2.61 2.52 2.24 1.95 1.51 193.16 3.03 2.77 2.51 2.42 2.16 1.88 1.45 203.05 2.92 2.67 2.42 2.34 2.08 1.81 1.40 212.94 2.82 2.58 2.34 2.26 2.01 1.75 1.35 222.84 2.73 2.50 2.26 2.18 1.94 1.69 1.31 23
Duracion (hr)
Duracion (hr)
2.76 2.65 2.42 2.19 2.11 1.88 1.64 1.27 24
0 150 300 450 600 750 900 105025.00
35.00
45.00
55.00
65.00
75.00
85.00PRECIPITACIONES DE DISEÑO
Periodo de retorno T (Años)
Pre
cip
ita
cio
n M
ax
ima
de
Dis
eñ
o (
mm
)
T (AÑOS) P24 max (mm)2 30.445 39.29
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00CURVAS IDF
Tr=500
Tr= 200
Tr= 140
Tr=100
Tr=50
Tr= 25
Tr=20
Tr=10
Tr= 5
Tr= 2
Tr= 1000Duracion (Hr)
Inte
nsid
ad (m
m/h
r)
10 45.1420 50.7625 52.5550 58.04100 63.49140 66.12200 68.92500 76.081000 81.50
0 150 300 450 600 750 900 105025.00
35.00
45.00
55.00
65.00
75.00
85.00PRECIPITACIONES DE DISEÑO
Periodo de retorno T (Años)
Pre
cip
ita
cio
n M
ax
ima
de
Dis
eñ
o (
mm
)
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00CURVAS IDF
Tr=500
Tr= 200
Tr= 140
Tr=100
Tr=50
Tr= 25
Tr=20
Tr=10
Tr= 5
Tr= 2
Tr= 1000Duracion (Hr)
Inte
nsid
ad (m
m/h
r)
DURACION INTENSIDAD PROFUNDIDAD PROFUNDIDAD TIEMPOACUMULADAINCREMENTAL
(hr) (mm/hr) (mm) (mm) (min)
1 29.8730822 29.8730822 29.8730822 0-12 17.762641 35.5252819 5.65219971 1-23 13.1050624 39.3151872 3.78990528 2-34 10.5617295 42.2469181 2.93173083 3-45 8.93413542 44.6706771 2.42375907 4-56 7.79231673 46.7539004 2.08322325 5-67 6.94155077 48.5908554 1.83695502 6-78 6.28004194 50.2403355 1.64948014 7-89 5.74907736 51.7416962 1.50136068 8-9
10 5.31226871 53.1226871 1.38099084 9-1011 4.94578827 54.403671 1.28098396 10-1112 4.63333925 55.600071 1.19639996 11-1213 4.36337481 56.7238725 1.12380157 12-1314 4.12747078 57.784591 1.06071841 13-1415 3.91932782 58.7899173 1.00532633 14-1516 3.73413528 59.7461645 0.95624718 15-1617 3.56815197 60.6585836 0.91241907 16-1718 3.41842185 61.5315933 0.87300973 17-1819 3.28257633 62.3689503 0.83735701 18-1920 3.15869387 63.1738774 0.80492712 19-2021 3.04519819 63.9491621 0.77528463 20-2122 2.9407833 64.6972327 0.7480706 21-2223 2.84435735 65.420219 0.72298632 22-2324 2.755 66.12 0.69978102 23-24
PRECIPITACION
(mm)
0.720.780.840.911.011.121.281.501.842.423.79
29.875.652.932.081.651.381.201.060.960.870.800.750.72
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