دانلود کتاب Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology

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Contents\nPreface\n1. Introduction\n 1.0 Chapter Overview\n 1.1 Historical Examples\n 1.2 Basic Concepts\n 1.3 Brief History\n 1.4 Geomechanics\n 1.5 Hydrogeology\n 1.6 Petroleum Engineering\n 1.7 Biot’s Theory\n 1.8 Preview of Constitutive Relations\n 1.9 Thermoelastic Analogy\n2. Linear Constitutive Equations\n 2.0 Chapter Overview\n 2.1 Kinematic Variables\n 2.2 Dynamic Variables\n 2.3 Constitutive Relations\n 2.4 Principal Coordinates\n 2.5 Isotropic Stress and Strain\n 2.6 Nonprincipal Coordinates\n 2.7 Anisotropy\n 2.8 Effective Stress\n3. Poroelastic Constants\n 3.0 Chapter Overview\n 3.1 Compressibility\n 3.2 Drained versus Undrained Moduli\n 3.3 Storage Capacity\n 3.4 Hydraulic Diffusivity\n 3.5 Poroelastic Expansion Coefficients\n 3.6 Coefficients of Undrained Pore-Pressure Buildup\n 3.7 Incompressible or Highly Compressible Constituents\n 3.8 Laboratory Data\n4. Governing Equations\n 4.0 Chapter Overview\n 4.1 Force Equilibrium Equations\n 4.2 Displacement Formulation\n 4.3 Beltrami-Michell Equations\n 4.4 Strain Compatibility Equations\n 4.5 Mechanical Boundary and Initial Conditions\n 4.6 Darcy’s Law\n 4.7 Fluid Continuity\n 4.8 Comparison of Diffusion Equations\n 4.9 Fluid Boundary and Initial Conditions\n 4.10 Uncoupling of Stress or Strain from Pore Pressure\n 4.11 Force Equilibrium for the Solid Matrix\n5. Unbounded Problem Domains\n 5.0 Chapter Overview\n 5.1 Poroelastic Displacement Potential in Infinite Domain\n 5.2 Uniform Fluid Injection in a Sphere\n 5.3 Green’s Functions\n 5.4 Center of Dilatation\n 5.5 Half Space with Traction-Free Boundary\n 5.6 Gravity Analogy\n 5.7 Sudden Injection of Fluid at a Point in Infinite Domain\n 5.8 Fluid Dipole Equivalence to Body-Force Distributions\n6. Uniaxial Strain\n 6.0 Chapter Overview\n 6.1 Constitutive Equations\n 6.2 Force Equilibrium Equation\n 6.3 Fluid Diffusion Equation\n 6.4 Step Load on Semi-Infinite Column\n 6.5 Consolidation of a Finite Layer (Terzaghi’s Problem)\n 6.6 Uniformly Increasing Load on a Finite Layer\n 6.7 Sedimentation on Impermeable Basement\n 6.8 Erosional Unloading\n 6.9 Periodic Load on a Half Space\n 6.10 Periodic Load on a Finite Layer\n 6.11 Water Load on a Half Space\n7. Plane Strain and Plane Stress in Rectangular Coordinates\n 7.0 Chapter Overview\n 7.1 Constitutive Equations for Plane Strain\n 7.2 Governing Equations for Plane Strain\n 7.3 Mandel’s Problem\n 7.4 Biot’s Stress Function\n 7.5 Periodic Load on a Half Space\n 7.6 Displacement Functions\n 7.7 Sudden Step Load on a Half Space\n 7.8 Undrained Response to a Line Source\n 7.9 Sudden Fault Slip\n 7.10 Constitutive Equations for Plane Stress\n8. Plane Strain in Polar Coordinates\n 8.0 Chapter Overview\n 8.1 Radial Symmetry\n 8.2 Sudden Pressurization of a Long Cylinder\n 8.3 Sudden Pressurization of a Borehole\n 8.4 Sudden Stress Release due to Borehole Excavation in an Anisotropic Stress Field\n 8.5 Hydraulic Fracturing\n 8.6 Sudden Internal Pressurization of a Hollow Cylinder\n 8.7 Line Source in Plane Strain\n9. Axisymmetry\n 9.0 Chapter Overview\n 9.1 Governing Equations\n 9.2 Pumping from a Well\n 9.3 Reverse Water-Level Fluctuations\n 9.4 Pulse-Decay Test\n 9.5 Elastostatic Subsidence of a Half Space\n 9.6 Time-Dependent Subsidence of a Half Space\n10. Numerical Methods\n 10.0 Chapter Overview\n 10.1 Finite-Element Method\n 10.2 Boundary-Element Method\nAppendix A. Integral Transforms\n A.1 Properties of Fourier Transforms\n A.2 Properties of Laplace Transforms\n A.3 Stehfest Algorithm for Laplace Transform Inversion\n A.4 Properties of Hankel Transforms\nAppendix B. Relations Among Poroelastic Constants\nAppendix C. Representative Poroelastic Constants\nSymbols\nReferences\nUncited References\nAuthor Index\nSubject Index