资源工程研究所硕士论文破裂岩体中井壁应力之数值模拟

NumericalmodelingofwellborestressinfracturedrockmassesIUDECUniversalDistinctElementCodeII……………………………………………………………...………………………………….………………………….…………………………………..………………………………………………………………………..……………………………………………………………..………………………………………………………..………………11-1…………………………………………..11-2…………………………………………..2…………………………………..………………42-1-..…………………………...42-2-………………………….52-3…………………………………………..7…………………………………………………..103-1UDEC…………………………………………...103-2UDEC……………………………………...113-3UDEC…………………………………..173-4UDEC…………………………………..203-5UDEC…………………………………………..22III3-6UDEC…………………………………………..233-7UDEC……………………………………..26………………………………………………..294-1……………………………………………..294-2……………………………………..324-2-1…………………………………………………..344-2-2…………………………………………………..444-3…………………………………………..474-3-1…………………………………………………..484-3-2…………………………………………………..674-3-3…………………………………..774-4…………………………………………..824-4-1…………………………………………………..834-4-2…………………………………………………..974-4-3…………………………………..1054-4-4………………………..1094-5…………………………………………..1104-5-1Hh/σσ1……………....1114-5-2Hh/σσ2………………115………………………………………………..1195-1………………………………………………………..1195-2………………………………………………………..121IV……………………………………………………………..122V3-1UDEC…………………………………193-2UDEC………………………………….214-1………………………………………314-2.................................................................................774-3..………………………………………………...914-4…………………………………….105VI圗1-1……………………………………………………..33-1UDEC………………………………….123-2…………………………………..133-3……………………………………………..143-4……………………………………..153-5……………………………………………..173-6UDEC…………………………………………..264-1…………………………………………..304-2…………………………………………..324-3…………………………………..334-4……………………………………..344-5……………………..364-6……………………………..384-7………………………………..394-8………………………………..404-9……………………………..424-10……………………………..434-11……………………………..454-12…………………………………..464-13……………………………………………..474-14………………………………..504-15………………………………..51VII4-16………………………………..524-17………………………………..534-18…………………………………..554-19…………………………………..564-20…………………………………..574-21…………………………………..584-22…………………………………..614-23…………………………………..624-24…………………………………..634-25…………………………..…………644-26Hh/σσ1……………..…..654-27Hh/σσ1…………………664-28………………………………..684-29………………………………..694-30………………………………..704-31………………………………..714-32………………………………………..734-33………………………………………..744-34………………………………………..754-35………………………………………..764-36………………………………..784-37………………………………..794-38………………………………..804-39………………………………..81VIII4-40……………………………………………..824-41Hh/σσ1…...844-42Hh/σσ1.5….854-43Hh/σσ2……864-44Hh/σσ1……884-45Hh/σσ1.5….894-46Hh/σσ2……904-47Hh/σσ1………924-48Hh/σσ1.5…….934-49Hh/σσ2………944-50Hh/σσ1…………954-51Hh/σσ1…………964-52Hh/σσ1.984-53Hh/σσ1.5………………………………………………………………..994-54Hh/σσ2.1004-55Hh/σσ1………1024-56Hh/σσ1.5……..1034-57Hh/σσ2……….1044-58Hh/σσ1……….1064-59Hh/σσ1.5……..1074-60Hh/σσ2….........1084-61Hh/σσ……………...1094-62………………………………...1104-63Hh/σσ1………111IX4-64Hh/σσ1……………1124-65Hh/σσ1…………………………………………………...1134-66Hh/σσ2………1154-67Hh/σσ2……………1164-68Hh/σσ2……………………………………………..118Xaaa0aresaAcAjcDnknksLqrnu∆esu∆su∆nσhσHσrσθσXInσ+rθτφ11-1MohrCoulomb2UDEC(UniversalDistinctElementCode)1-2UDECUniversalDistinctElementCode1.2.3.4.1-131-1UDEC42-1-Cheatham(1984)(fracturezone)(plasticzone)MohrCoulombVardoulakisetal.(1988)Santarellietal.(1989)(pressure–dependent)5(2000)(1994)(1996)MohrCoulomb2-2-(Maury&Etchecopar,1992)Santarelli,etal.(1992)64040m5mm8mmLastetal.(1995)Cusiana,Colombia(1997)MohrCoulomb25°Zhangetal.(1999)UDECChen,X.etal.(2003)UDEC7(2003)3DEC2-3LamontandJessen(1963)GriffithBlairetal.(1990)Heuzeetal.(1990)8(fluid-drivenfractures)LamontandJessen(1963)Witherspoonetal.(1980)(cubiclaw)HarperandLast(1990)Zhangetal.(1996)9Zhang,X.etal.(1999)UDEC10UDEC3-1UDECITASCAUDEC(UniversalDistinctElementCode)Cundall(1989)UDEC-113-2UDECCundall1980UDEC(Newton’ssecondlaw)(force-displacement)()1.2.123-13-1UDEC(Itasca,1992)13UDEC(cornertocorner)(cornertoedge)3-2(a)(b)3-2(Itasca,1992)UDEC1.UDEC(round)3-314(a)(b)3-3(Itasca,1992)2.(roundness)13.UDECUDEC154.UDEC3-43-4(Itasca,1992)()UDEC-1.-(nk)-16nnnkuσ∆=⋅∆(3.1)nσ+nu∆nσnσ2.(sk)cφ値3-5maxnjjtancτσφ=+(3.2)maxesssskuτττ≤⇒∆=⋅∆maxmax()ssssignuττττ≤⇒=∆⋅esu∆su∆(173-5(Itasca,1992)3-3UDECUDECUDEC181.(Null)delete(delete)null2.(Elasticisotropic)3.(Drucker-Prager)4.(Mohr-Coulomb)Mohr-Coulomb5.(Ubiquitousjoint)Mohr-Coulomb196.(Strainsoftening/hardening)7.(Double-yield)Mohr-CoulombMohr-Coulomb3-13-1UDECNull(cons=0)Elastic(cons=1)-Drucker-Prager(cons=6)Mohr-Coulomb(cons=3)()UbiquitousjointStrain-softeninghardeningDouble-yield203-4UDECUDEC3-2(Coulombsliplaw)1.(jointpointcontact)Coulomb2.(jointareacontact)Coulomb3.(displacementweaking):4.(continuouslyyielding)Coulomb215.Barton-Bandis(Barton1982Bartonetal.1985)UDEC3-2UDEC()Barton-BandisBarton-Bandis223-5UDECP∆qcqAP=−∆(3-9)cAWitherspoonetal.(1980)3a/jqAaPL=−∆(3-10)jAaaLP∆a0naaD=−(3-11)0anDresa230a0a3-6UDECUDEC:(1)UDECMODEL(UDEC):UDEC(UDEC4.4)(2)BLOCK():UDEC(3)CONTACT():(4)DISCONTINUITY():(Fracture)24(5)DOMAIN():UDEC(6)ZONE():(/)()(7)GRIDPOINT():(Corner)UDEC(xy)(8)MODELBOUNDARY()(9)BOUNDARYCONDITION():UDEC()(10)INITIALCONDITION():UDEC()(11)NULLBLOCK():(12)STRUCTURALELEMENT():25(13)STEP():2000~4000(14)STATICSOLUTION():(15)UNBALANCEDFORCE():(16)DYNAMICSOLUTION():()