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| Preface | |
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| Introduction | |
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| Chapter Overview | |
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| Historical Examples | |
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| Basic Concepts | |
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| Brief History | |
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| Geomechanics | |
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| Hydrogeology | |
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| Petroleum Engineering | |
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| Biot''s Theory | |
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| Preview of Constitutive Relations | |
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| Thermoelastic Analogy | |
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| Linear Constitutive Equations | |
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| Chapter Overview | |
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| Kinematic Variables | |
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| Dynamic Variables | |
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| Constitutive Relations | |
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| Principal Coordinates | |
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| Isotropic Stress and Strain | |
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| Nonprincipal Coordinates | |
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| Anisotropy | |
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| Effective Stress | |
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| 3 | |
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| Chapter Overview | |
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| Compressibility | |
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| Drained versus Undrained Moduli | |
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| Storage Capacity | |
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| Hydraulic Diffusivity | |
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| Poroelastic Expansion Coefficients | |
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| Coefficients of Undrained Pore-Pressure Buildup | |
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| Incompressible or Highly Compressible Constituents | |
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| Laboratory Data | |
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| Governing Equations | |
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| Chapter Overview | |
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| Force Equilibrium Equations | |
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| Displacement Formulation | |
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| Beltrami-Michell Equations | |
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| Strain Compatibility Equations | |
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| Mechanical Boundary and Initial Conditions | |
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| Darcy''s Law | |
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| Fluid Continuity | |
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| Comparison of Diffusion Equations | |
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| Fluid Boundary and Initial Conditions | |
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| Uncoupling of Stress or Strain from Pore Pressure | |
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| Force Equilibrium for the Solid Matrix | |
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| Unbounded Problem Domains | |
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| Chapter Overview | |
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| Poroelastic Displacement Potential in Infinite Domain | |
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| Uniform Fluid Injection in a Sphere | |
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| Green''s Functions | |
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| Center of Dilatation | |
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| Half Space with Traction-Free Boundary | |
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| Gravity Analogy | |
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| Sudden Injection of Fluid at a Point in Infinite Domain | |
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| Fluid Dipole Equivalence to Body-Force Distributions | |
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| Uniaxial Strain | |
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| Chapter Overview | |
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| Constitutive Equations | |
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| Force Equilibrium Equation | |
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| Fluid Diffusion Equation | |
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| Step Load on Semi-Infinite Column | |
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| Consolidation of a Finite Layer (Terzaghi''s Problem) | |
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| Uniformly Increasing Load on a Finite Layer | |
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| Sedimentation on Impermeable Basement | |
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| Erosional Unloading | |
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| Periodic Load on a Half Space | |
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| Periodic Load on a Finite Layer | |
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| Water Load on a Half Space | |
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| Plane Strain and Plane Stress in Rectangular Coordinates | |
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| Chapter Overview | |
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| Constitutive Equations for Plane Strain | |
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| Governing Equations for Plane Strain | |
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| Mandel''s Problem | |
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| Biot''s Stress Function | |
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| Periodic Load on a Half Space | |
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| Displacement Functions | |
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| Sudden Step Load on a Half Space | |
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| Undrained Response to a Line Source | |
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| Sudden Fault Slip | |
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| Constitutive Equations for Plane Stress | |
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| Plane Strain in Polar Coordinates | |
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| Chapter Overview | |
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| Radial Symmetry | |
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| Sudden Pressurization of a Long Cylinder | |
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| Sudden Pressurization of a Borehole | |
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| Sudden Stress Release due to Borehole Excavation in an Anisotropic Stress Field | |
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| Hydraulic Fracturing | |
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| Sudden Internal Pressurization of a Hollow Cylinder | |
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| Line Source in Plane Strain | |
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| Axisymmetry | |
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| Chapter Overview | |
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| Governing Equations | |
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| Pumping from a Well | |
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| Reverse Water-Level Fluctuations | |
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| Pulse-Decay Test | |
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| Elastostatic Subsidence of a Half Space | |
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| Time-Dependent Subsidence of a Half Space | |
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| Numerical Methods | |
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| Chapter Overview | |
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| Finite-Element Method | |
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| Boundary-Element Method | |
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| Appendix A | |
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| Properties of Fourier Transforms | |
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| Properties of Laplace Transforms | |
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| Stehfest Algorithm for Laplace Transform Inversion | |
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| Properties of Hankel Transforms | |
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| Relations Among Poroelastic Constants | |
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| Representative Poroelastic Constants | |
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| Symbols | |
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| References | |
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| Uniited References | |
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| Author Index | |
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| Subject Index | |