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Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology

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ISBN-10: 0691037469

ISBN-13: 9780691037462

Edition: 2001

Authors: Herbert F. Wang

List price: $125.00
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The theory of linear poroelasticity describes the interaction between mechanical effects and adding or removing fluid from rock. It is critical to the study of such geological phenomena as earthquakes and landslides and is important for numerous engineering projects, including dams, groundwater withdrawal, and petroleum extraction. Now an advanced text synthesizes in one place, with one notation, numerous classical solutions and applications of this highly useful theory. The introductory chapter recounts parallel developments in geomechanics, hydrogeology, and reservoir engineering that are unified by the tenets of poroelasticity. Next, the theory's constitutive and governing equations and…    
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Book details

List price: $125.00
Copyright year: 2001
Publisher: Princeton University Press
Publication date: 12/3/2000
Binding: Hardcover
Pages: 304
Size: 6.38" wide x 9.84" long x 0.90" tall
Weight: 1.254
Language: English

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