Fundamentals of Poroelasticity1 Emmanuel Detournay and Alexander H.-D. Cheng英文资料

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1、FundamentalsofPoroelasticity1EmmanuelDetournayandAlexanderH.-D.Cheng1Preprint.Articlepublishedas:Detournay,E.andCheng,A.H.-D.,“Fundamentalsofporoelasticity,”Chapter5inComprehensiveRockEngineering:Principles,PracticeandProjects,Vol.II,AnalysisandDesignMeth

2、od,ed.C.Fairhurst,PergamonPress,pp.113-171,1993.Contents1Introduction42MechanicalDescriptionofaPoroelasticMaterial63ConstitutiveEquations83.1ContinuumFormulation................................83.1.1PoroelasticConstitutiveEquations......................83

3、.1.2VolumetricResponse..............................93.2MicromechanicalApproach..............................113.2.1VolumetricResponseofFluid-InfiltratedPorousSolids...........123.2.2InvarianceofPorosityUnderΠ-Loading...................163.2.3Non-LinearVol

4、umetricDeformationofPorousRocks............183.3LaboratoryMeasurements...............................213.3.1DrainedTest..................................223.3.2UndrainedTest.................................233.3.3UnjacketedTest............................

5、....233.3.4TableofPoroelasticConstants........................244LinearIsotropicTheoryofPoroelasticity264.1GoverningEquations..................................264.1.1ConstitutiveLaw................................264.1.2TransportLaw.......................

6、..........294.1.3BalanceLaws..................................304.2CompatibilityEquations................................314.3FieldEquations....................................324.3.1NavierEquations................................324.3.2DiffusionEquations.

7、.............................334.3.3IrrotationalDisplacementField........................334.3.4UncouplingofPorePressureDiffusionEquation..............344.4SolutionofBoundary-ValueProblems........................354.4.1Initial/BoundaryConditions...........

8、..............354.4.2ConvolutionalTechnique............................3615MethodsofSolution375.1MethodofPotentials..................................375.1.1Biot’sdecomposition..............................375.1.2Bio