第二章 文獻回顧 - ir.nctu.edu.tw · 1933年時,kogler...

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第二章 文獻回顧 本研究是針對軟弱岩石材料的特性,改良多功能孔內試驗儀進而施作 現地試驗,以了解現地軟弱岩石的應力-應變-強度之行為。為了使試驗在施 作上更為方便,以及在解析方面更為合理精準,所以對軟岩的特性、試驗 方法、分析理論與分析方法做回顧與整理,以方便後續儀器與解析之改進。 2.1 軟弱岩石之定義 軟弱岩石具有岩石與土壤的兩者特性,因此無法單一以岩石力學與土 壤力學之理論討論之。國際岩石力學協會(ISRM)將大地材料加以分類, 單壓強度為 0.25MPa~25MPa 之間可歸類為軟岩。ISRM 定義之軟弱岩石單 壓強度之範圍涵蓋了堅硬黏土(Hard Clay)、極軟弱岩石(Extremely Weak Rock)、非常軟弱岩石(Very Weak Rock)及軟弱岩石(Weak Rock)部分, 如圖 2.1 所示。 2.1 ISRM 之地質材料分類 (摘自 Johnston , 1993) 4

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  • --

    2.1

    ISRM

    0.25MPa~25MPa ISRM

    Hard ClayExtremely Weak

    RockVery Weak RockWeak Rock

    2.1

    2.1 ISRM

    ( Johnston , 1993)

    4

  • 2.2

    1.

    Oliveria1990

    1 leach

    void

    2

    fissure

    2.

    Oliveria

    slaking

    3.

    Oliveria1993

    4.creep

    Oliveria 1993

    5.

    5

  • Johnston1993

    2.3

    1.

    (1986)

    40%~60%

    20MPa

    2.

    (1986)

    6

  • 12MPa

    0~30%

    2.4 Pressuremeter Test

    ISSMFE1991

    2.4.1

    1933 Kogler (Pressuremeter) 1954

    Menard Menard

    (Menard Pressuremeter , MPM)

    (Pressuremeter Test , PMT)

    Janod-Mermin 1954

    7

  • 1957 Kujundzic

    (Kujundzic , 1965)

    Penek et. al. (1964)

    (cylindrical pressure cell)

    Rocha et. al. (1966) LNEC(Laboratorio

    Nacional de Engenharia Civil)(pump)

    (linear variable differential transducer, LVDT)

    Hustruid and Hustruild (1975) Panek et. al. (1964)

    CSM(Colorado School of Mines)

    (Hughes and

    Ervin, 1980; Serata, 1982; Suyama et. al., 1984; and Ip et. al., 1991)

    2.4.2

    (constitutive)

    (fit)

    -

    Clarke(1995)

    8

  • 1.

    2.(axially symmetric loading)

    (plane deformation)

    3.(homogeneous)(isotropic)

    4.-

    5.

    2.4.3

    5MPa 10MPa

    -

    -unload-reload loop

    1999

    1.

    10MPa 25MPa

    2. 90

    3.

    9

  • -

    Haberfield and Johnston (1990)

    :

    ( ) 'cos''sin1'' 0 cpp f ++= 2.1

    : fp

    0'p :

    ' :

    c :

    Johnston(1993)

    () Barton(1993)

    Haberfield Johnston(1989)

    Haberfield Johnston(1990)

    10

  • P 0'p t

    Haberfield Johnston(1993)

    1. E

    (Ervin et. al., 1980 and Clarke et. al.,

    1989)

    2. E

    1

    3.

    4.

    5.

    (Haberfield and Johnston,

    1990)

    6.Haberfield and Johnston (1986)

    11

  • 800kPa 800kPa

    7.

    (Ameratunga and Johnston, 1986)

    2.4.4

    -

    Haberfield Johnston(1990)

    -

    (non-associated flow rule)

    :

    :

    fppp 0 Gpp

    rU r

    20

    0

    0 = 2.2

    :

    fpp ])()([21

    30

    20

    10

    0 brr

    brr

    bGr

    U nfmfr ++=11 nm +

    2.3

    12

  • 0'p

    p

    fp

    0rU

    0r

    fr

    G

    1b 2b 3b m n

    )1(sincos 0 ++= pcp f 2.4

    +

    =sin1sin1m 2.5

    +

    =sin1sin1n 2.6

    )]()1)(1[(1

    201 ppnm

    mnm

    mb f ++

    = 2.7

    ))(1)(1(2 02 ppnmmnb f +

    += 2.8

    ))(11)(21( 03 ppm

    mb f += 2.9

    r

    r

    =sinsin1sinsin

    sin 2.10

    (Poisson ratio)

    c

    r

    13

  • G0'p c G-

    0.2-0.3

    0'p

    / r

    Johnston

    Rowe/s

    :

    1. 1-6

    2.(

  • 2.2

    2.2

    ( Johnston , 1993)

    2.5.1

    Goodman et. al. (1968) and Gill and Leite (1995)Noel

    (1963)(, central expanding cell)

    Martini et. al. (1964) Noel (German )

    15

  • Panek and Stock (1964)

    (racetrack-shaped) German

    Jaeger and Cook(1964)

    (deformation meter) 1968

    Absi and Seguin (1967)

    geoextensometer 2 140

    Goodman et. al.,Goodman Jack

    90

    LVDT

    Amadei et. al.1995)

    (directional dilatometer) 2 75.4

    LVDTA(A1-A2)B(B1-B2)

    2.3

    16

  • 2.3

    Amadei et. al., 1995

    17

  • 2.5.2

    Goodman et. al. (1968)

    calcE

    ),(93.086.0 KDQDE hcalc

    = 2.11

    0.86(A)

    0.93(B)

    D

    hQ

    K(, ) 2.1

    NX =45(2.7)(

    )

    )(40.2.)(

    )( KD

    QE

    in

    psihcalc

    = (2.12)

    K()

    Hustrulid (1976)KT*Amadei (1985)

    T*T* 10%25%

    Goodman et. al. (1968)

    18

  • 13%

    29%

    Heuze et. al.(1971)

    Heuze and Dessenne (1972)

    Meyer and McVey (1974)

    45.745.750.8cm (181820in.) 7.62cm (3in.)

    E = 69.5GPa (10.08106psi) = 0.332

    (2.12) = 2.9310calcE6 psi

    = 0.332 K = 1.212K

    calcE

    calcE calcE

    Hustrulid (1976)(2.11)K(, )Goodman

    et. al. (1968)=45KT*

    ()

    )45( 393.0 * ohcalc DQ

    TE =

    = 2.13

    =45=0 KT* 22%=0.5 10%

    (2.13)

    0.86 Hustrulid (1976)calcE

    19

  • T*Meyer and McVey (1974)

    1000 9000psi () 3.5 8.5

    Meyer and McVey (1974) 1000psi

    T*Amadei (1985)

    Heuze and Salem (1976)Meyer and

    McVey (1974)Heuze

    Salem

    =69GPa (10.010trueE6 psi)=0.33

    HustrulidT* 3.4510calcE6 psi 3.45

    Meyer and McVey (1974) 69.4GPa (10.0106 psi)

    HustrulidT*Meyer and McVey (1974)

    trueE calcE

    Shuri (1981) Hustrulid (1976)

    Hustrulid (1976) Shuri (1981)

    90()

    2.4 Shuri (1981)

    Swolfs and Kibler (1982) Hustrulid

    (1976) and Heuze and Salem (1976 and 1977)

    Amadei (1985)

    T*=45Amadei (1985)T*Hustrulid

    (1976)T* 3% 2.2

    Heuze (1985)

    1Shuri (1981)

    Shuri (1981)

    20

  • 0.3 207GPa (30106 psi)(76.2mm(3in.))

    2()

    oversizeE

    EQtrue

    trueh +

    =

    91.0)1(103010300993.1

    6min 6 2.14

    Q psi calcE

    in.

    calcE

    calcE min hQ

    2Shuri (1981) min hQ

    undersizeE

    Q trueh )1(67.3 2min

    = 2.15

    3Ecalc 0.86(2.16)(

    )

    *93.086.0 TDQDE hcalc

    = 2.16

    4

    69GPa (10,000psi)

    21

  • 2.1 (2.11) K(, )

    ()

    0 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50

    5 0.434 0.433 0.430 0.424 0.417 0.407 0.396 0.382 0.366 0.348 0.32710 0.704 0.703 0.698 0.690 0.678 0.663 0.645 0.622 0.597 0.568 0.53615 0.904 0.903 0.897 0.887 0.873 0.854 0.831 0.803 0.772 0.735 0.69420 1.052 1.051 1.046 1.035 1.019 0.998 0.973 0.942 0.906 0.864 0.81825 1.159 1.159 1.154 1.143 1.127 1.105 1.078 1.045 1.007 0.963 0.91430 1.230 1.231 1.227 1.217 1.201 1.179 1.152 1.119 1.080 1.035 0.98535 1.271 1.274 1.271 1.262 1.247 1.226 1.200 1.168 1.129 1.086 1.03640 1.287 1.291 1.290 1.282 1.269 1.250 1.225 1.195 1.159 1.117 1.06945 1.282 1.288 1.288 1.282 1.271 1.254 1.232 1.204 1.170 1.131 1.08750 1.261 1.268 1.270 1.266 1.257 1.243 1.224 1.199 1.169 1.133 1.09255 1.227 1.236 1.240 1.238 1.232 1.221 1.204 1.183 1.156 1.125 1.08860 1.186 1.197 1.202 1.203 1.199 1.190 1.177 1.160 1.137 1.109 1.07765 1.142 1.154 1.161 1.164 1.162 1.156 1.146 1.132 1.113 1.089 1.06270 1.098 1.111 1.120 1.124 1.125 1.122 1.114 1.103 1.088 1.068 1.04575 1.059 1.073 1.083 1.089 1.091 1.090 1.085 1.076 1.064 1.048 1.02880 1.028 1.042 1.053 1.061 1.064 1.065 1.061 1.055 1.044 1.031 1.01385 1.007 1.022 1.034 1.042 1.046 1.048 1.046 1.040 1.031 1.019 1.00490 1.000 1.015 1.027 1.035 1.040 1.042 1.040 1.035 1.027 1.015 1.000

    Goodman et. al., 1968

    2.2 Hustrulid (1976) and Amadei (1985)T*

    T* Hustrulid (1976) T* Amadei (1985) T*A / T*H0.10 1.559 1.519 0.974

    0.20 1.514 1.474 0.974

    0.25 1.480 1.438 0.971

    0.30 1.438 1.397 0.971

    0.33 1.408 1.366 0.970

    0.40 1.331 1.289 0.968

    0.50 1.192 1.151 0.966

    ( Heuze, 1993)

    22

  • (a) (b)

    2.4

    ( Heuze, 1993)

    23

  • 2.5.3

    ()

    2.5.3.1

    Shuri (1981)

    Heuze and Amadei (1985)

    1.

    2.5a

    2.5b

    calcE

    2.

    2.6

    Goodman 15 (

    2.928in. 3.050in.)Ecalc 2.3 2.7

    2.7 2.980in. 3.020in.

    NX

    24

  • a b

    2.5

    ( Jesse, 1993)

    2.6

    ( Jesse, 1993)

    25

  • 2.3 NX

    (in.) (106psi) (in.) (106psi)

    2.928 2.62 3.001 3.28 2.950 2.43 3.003 3.28 2.969 3.36 3.005 3.28 2.977 3.66 3.010 3.25 2.995 3.27 3.020 3.10 2.997 3.27 3.030 2.90 2.999 3.28 3.050 2.48 3.000 3.28

    ( Jesse, 1993)

    2.92 2.94 2.96 2.98 3.00 3.02 3.04 3.06Borehole diameter (in)

    2.4

    2.6

    2.8

    3.0

    3.2

    3.4

    3.6

    3.8

    Mod

    ulus

    (

    10 6

    psi)

    2.7

    ( Jesse, 1993)

    26

  • 2.5.3.2

    Salem (1976)(finite element method)

    1.

    (2.11) D K E

    2.8

    D

    NX 9000psi

    4.5in. 1ft

    2.

    NX

    () 3 8Wilson (1967)

    K 1.06 K

    1.23 14%=45

    DuQKE

    r /)(86.0

    = 2.17

    NXD=3in. (76.2mm)Q

    Qh 93%

    ruQKE

    = )(40.2 2.18

    27

  • 3.

    2.9(a)Goodman et. al.

    (1968) 775 (nodal point)

    720 (finite element method)=0.25

    2.9(b)(c)(d)(e)

    =45=0.25

    X K 1.250 K 0.235

    K 1.254 X

    4.(2)

    2.1 2.10 K

    =45 K NX

    90

    90

    28

  • 2.8 10,000psiE = 1.0106psi ( Goodman et. al., 1968)

    29

  • (a)

    (b) = 10,000psi (c) (e)

    (d) (b) (e) = 0.01a

    2.9

    E = 1.0106 psi= 0.25

    ( Goodman et. al., 1968)

    30

  • 2.4 (2.17)(2.18) K

    0 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50K() 1.28 1.29 1.29 1.28 1.27 1.25 1.23 1.20 1.17 1.13 1.09

    2.40K() 3.07 3.10 3.10 3.07 3.05 3.00 2.95 2.88 2.81 2.71 2.62

    ( Goodman et. al., 1968)

    0 10 20 30 40 50 60 70 80 90 100 ( )

    0.2

    0.4

    0.6

    0.8

    1.0

    1.2

    1.4

    K(

    ,

    )

    0

    0.25

    0.50

    2.10 = 00.25 0.5 K(, )

    ( Goodman et. al., 1968)

    31

  • 2.5.3.3

    1.

    Suzuki (1968) and Agarrval (1968)

    Suzuki (1968) 10-3in.

    10-2in.

    2.

    -

    3.

    (weak rock)

    calcE

    (intact rock)

    Goodman et. al. (1968)

    calcE

    fd

    32

  • (1) = r/2 () fd

    (2) = r () fd

    (3) = 5r () fd

    2.5 2.11

    0.5 1 15%

    30%

    4.

    2.1 2.12 0.2 0.3

    50%Ecalc 3.25% 0.4

    0.2 100%Ecalc 8.50%

    E

    5.

    =90

    Q4= (2.19)

    NX=/4=90

    -Q

    33

  • =0=0.875Q

    2.5

    fdK K (%)

    (%) calcE

    0 1.250 +0 r/2 1.410 +13 -13 r 1.553 +24 -24 5r 1.614 +29 -29

    ( Goodman et. al., 1968)

    2.11

    ( Jesse, 1993)

    34

  • 0.0 0.1 0.2 0.3 0.4 0.5

    0.2

    0.4

    0.6

    0.8

    1.0

    1.2

    1.4

    K(

    ,

    )

    ( )

    10

    45

    90

    2.12 = 1045 90 K(, )

    ( Goodman et. al., 1968)

    35

  • 2.6 (plate loading test, PLT)

    2.6.1

    2.13

    1.

    2.13(a)

    2.(recessed test)

    2.13(d)

    3.

    (cable

    jacking test) 2.13(b)

    4.

    2.13(c)

    5.

    2.13(e)

    30% 5%(Poulos and

    Davis, 1974)

    36

  • a b

    c d

    e

    2.13

    Pells, 1983

    37

  • 2.6.2

    1.Whitman and Richart,1967

    )1( 2

    =LB

    QE

    p

    pp (2.20)

    B

    L

    p(L/B) 2.6

    5%

    2.Poulos and Davis,1974

    )1( 2

    =p

    pp D

    QE (2.21)

    Ep

    Qp

    Dp

    38

  • (2.20)(2.21)

    (2.21)

    (2.22)

    02 )1(

    =

    p

    pp D

    QE (2.22)

    (Burland, 1970; Pells

    and Turner, 1979 and Donal et. al.,1980)

    2.14(a)(b)(c) 2.14 (shaft)

    2.15

    3.Gerrard and Harrison,1974

    pp

    pp r

    arDw

    QE 1sin)1(2 2

    = 2.23

    rp

    wrprp>1

    4.

    { })()1()()1(22 103101

    2, ppp

    pp

    pzrp zIzzIDE

    Qw

    ++= 2.24

    I101(Zp)Poulos and Davis (1974)

    39

  • I103(Zp) Poulos and Davis (1974)

    zp

    wrp, zpzprp

    (2.24)

    (2.25)

    +++=

    1)1(cot)1(2 2

    2,0

    p

    pp

    p

    pzp z

    zzar

    DEQ

    w

    2.25

    2.6 pL/B

    L / B 1 2 4 10

    p 1.07 1.1 1.2 1.4

    ( Pells, 1983)

    40

  • 2.14 ( Pells, 1983)

    41

  • 2.15

    ( Pells, 1983)

    42

  • 2.6.3 (modulus of deformation)

    -

    2.16

    1.-

    2.-

    1

    3.-

    43

  • 2.16

    ( Dodds, 1974)

    44

  • 2.6.4

    1.

    2.ISRM (1981) 6.9MPa

    5MPa

    3.

    5%

    4.ISRM (1981)

    48

    24

    2.7 (the retrievable test rig, RTR)

    2.7.1

    Johnston et. al. (1980)(Melbourne)

    1000mm

    1250mm 105 85

    (Silurian mudstone) 2m

    35m 5m 10m 3.5MN 6.0MN

    45

  • 2.7.2

    2.17

    1.

    LVDT

    2.

    (concrete annulus)

    (bucket)(concrete seat)

    (foam rubber gasket)

    (1)

    (2)

    (3) 220mm 400KN

    (4)

    46

  • (5)

    3.

    (reaction frame)

    (1)

    (2) 920mm

    8600kN

    (3)

    47

  • 2.17 (retrievable test rig)

    ( Johnston et. al., 1980)

    48

  • 2.7.3

    1100mm 1250mm

    75mm 50mm

    LVDT

    8 11

    2.7.4

    1.

    2.

    49

  • 3.

    4.

    5.

    2.7.5

    Johnston et. al. (1980)

    c

    c

    Johnston et. al. (1980) 2.18(a)(b)

    2.18(a) 2.18(b)

    50

  • (a)

    (b)

    2.18

    ( Johnston et. al., 1980)

    51

  • 2.8 BTD

    1999

    2000

    2.8.1

    (BTD)

    (BJT)(BST)(BPLT)

    Goodman

    (Goodman et. al., 1968)

    (RTR) (Johnston et. al., 1980)

    2.8.2

    Menard

    300kN

    2.8.3

    Goodman et. al. (1968) and Heuze (1993)

    52

  • *, TD

    QDBAEx

    jx

    =

    *, TD

    QDBAE jy

    =y

    Ex, jEy,j :xy

    MPa

    A 0.86

    B Goodman

    0.93

    D:mm

    QMPa

    DxDyxymm

    T*

    xyEx, jEy,

    j

    -

    Pells (1983)

    02

    , )1( =

    p

    ppz D

    QE

    Ez, p zMPa

    53

  • Qp N

    mm

    Dp mm

    0

    2.8.4

    :1.

    2.

    3.

    :1.

    2.

    3. Goodman(1986)

    54