The thermophysics of porous media / T.J.T. Spanos.

Format:

Book

Author/Creator:

Spanos, T. J. T.

Series:

Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 126.

Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 126

Language:

English

Subjects (All):

Porous materials--Thermal properties.

Porous materials.

Thermodynamics.

Physical Description:

xii, 220 pages ; 25 cm.

Place of Publication:

Boca Raton, Fla. : Chapman & Hall/CRC, [2002]

Summary:

Written by leading researchers in the field, this focused collection of articles on the physics of porous media begins with a discussion of mathematical methods to be used, then examines various aspects of the physical theory. This field is of interest to mathematicians concerned with flow through porous media, which is usually related to recovery of oil from oil wells or to underground water percolation.

Contents:

ii Tensor Analysis 2

iii Coordinate Transformation 7

iv Tensor Calculus (summation convention back in effect) 11

v Conservation Laws 12

vi Energy Momentum Tensor and Its Properties 13

vii Euler Lagrange Equations 14

viii Averaging 17

ix Automata Modeling 18

Chapter II Thermomechanics and Poromechanics

ii Previous Theories 21

iii Pore-Scale Equations 22

iv Construction of Megascale Equations for a Homogeneous Medium 24

v Megascopic Potential Energy 36

vi Equations for a Homogeneous Medium (neglecting thermomechanical coupling) 38

vii The Effect of Heterogeneity 39

viii Equations for a Spatially Varying Porosity 47

ix Implications for the Energy Momentum Tensor 48

Chapter III Thermodynamics - Porodynamics of Deformation

ii The Fluid Component 58

iii The Solid Component 62

iv Internal Energy for Porous Media 67

v The Effect of Heterogeneity 71

Chapter IV Thermodynamic Automata

ii Cellular Automata Models 78

iii A Lorentz Invariant Lattice Gas Model 79

iv A Non-Relativistic Model 88

v Porous Media 91

Chapter V Seismic Wave Propagation

ii Construction of the Wave Equations 99

iii Reflection Transmission Problems 106

iv Effect of Thermomechanical Coupling 109

v Breakdown of the Assumption of Interacting Phases 111

vi Surface Waves 112

vii Wave Propagation in an Inhomogeneous Medium 116

Chapter VI Immiscible Flow

ii Quasi-Static Two-Phase Flow in Porous Media 124

iii Flow Equations for Quasi-Static Flow 131

iv Multiphase Fluid Displacement 132

v A Megascopic Capillary Pressure Equation 135

vi Boundary Conditions Associated with Fluid Displacement 142

vii Instabilities During Immiscible Displacement 145

viii Multiphase Flow with Phase Transitions 149

Chapter VII Miscible Displacement in Porous Media

ii Equation of Continuity 164

iii Convection Diffusion Theory 168

iv A Solution of the Dynamical Equations 175

v Dispersion 181

Chapter VIII Porosity-Pressure Propagation

ii Megascopic Equations for Porosity-Pressure Propagation and Diffusion 191

iii Porosity Diffusion 196

iv Porosity-pressure wave propogation 199

Chapter IX Granular Flow

ii Stability of a Porous Medium-Fluid Suspension Boundary 204

iii Stability of a Particulate Boundary in a Porous Medium 207

iv Flow of Suspensions in a Fluid 210.

Notes:

Includes bibliographical references and index.

ISBN:

1584881070

OCLC:

48045539