The Thermophysics of Porous Media : Monographs and Surveys in Pure and Applied Mathematics - T.J.T. Spanos

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The Thermophysics of Porous Media

Name: The Thermophysics of Porous Media
Brand: Taylor & Francis Inc
Price: 314.25 AUD
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By: T.J.T. Spanos

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Hardcover | 28 November 2001 | Edition Number 1

At a Glance

Hardcover
230 Pages

Dimensions(cm)
23.4 x 15.6 x 1.91

Hardcover

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Models for the mechanical behavior of porous media introduced more than 50 years ago are still relied upon today, but more recent work shows that, in some cases, they may violate the laws of thermodynamics. In The Thermophysics of Porous Media, the author shows that physical consistency requires a unique description of dynamic processes that involve porous media, and that new dynamic variables-porosity, saturation, and megascale concentration-naturally enter into the large-scale description of porous media. The new degrees of freedom revealed in this study predict new dynamic processes that are not associated with compressional motions.

The book details the construction of a Lorentz invariant thermodynamic lattice gas model and shows how the associated nonrelativistic, Galilean invariant model can be used to describe flow in porous media. The author develops the equations of seismic wave propagation in porous media, the associated boundary conditions, and surface waves. He also constructs the equations for both immiscible and miscible flows in porous media and their related instability problems.

The implications of the physical theory presented in this book are significant, particularly in applications in geophysics and the petroleum industry. The Thermophysics of Porous Media offers a unique opportunity to examine the dynamic role that porosity plays in porous materials.

Industry Reviews

"The book will be of interest to researchers and postgraduate students in physics with strong knowledge in mathematics." - Zentralblatt MATH, 1043 Promo Copy

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You Can Find This Book In

Non-Fiction Science Physics Thermodynamics & Heat Mathematics Applied Mathematics Applied Physics Geophysics Materials & States of Matter Engineering & Technology Mechanical Engineering & Materials Materials Science

Statistical Physics

Introduction
Terminology and Objectives	p. 1
Tensor Analysis	p. 2
Coordinate Transformation	p. 7
Tensor Calculus (summation convention back in effect)	p. 11
Conservation Laws	p. 12
Energy Momentum Tensor and Its Properties	p. 13
Euler Lagrange Equations	p. 14
Averaging	p. 17
Automata Modeling	p. 18
References	p. 19
Thermomechanics and Poromechanics
Content of this Chapter	p. 21
Previous Theories	p. 21
Pore-Scale Equations	p. 22
Construction of Megascale Equations for a Homogeneous Medium	p. 24
Megascopic Potential Energy	p. 36
Equations for a Homogeneous Medium (neglecting thermomechanical coupling)	p. 38
The Effect of Heterogeneity	p. 39
Equations for a Spatially Varying Porosity	p. 47
Implications for the Energy Momentum Tensor	p. 48
References	p. 49
Thermodynamics - Porodynamics of Deformation
Objectives of this Chapter	p. 57
The Fluid Component	p. 58
The Solid Component	p. 62
Internal Energy for Porous Media	p. 67
The Effect of Heterogeneity	p. 71
Summary	p. 72
References	p. 73
Thermodynamic Automata
Objectives of this Chapter	p. 77
Cellular Automata Models	p. 78
A Lorentz Invariant Lattice Gas Model	p. 79
A Non-Relativistic Model	p. 88
Porous Media	p. 91
Summary	p. 95
References	p. 96
Seismic Wave Propagation
Objectives of this Chapter	p. 99
Construction of the Wave Equations	p. 99
Reflection Transmission Problems	p. 106
Effect of Thermomechanical Coupling	p. 109
Breakdown of the Assumption of Interacting Phases	p. 111
Surface Waves	p. 112
Wave Propagation in an Inhomogeneous Medium	p. 116
Summary	p. 120
References	p. 120
Immiscible Flow
Objectives of this Chapter	p. 123
Quasi-Static Two-Phase Flow in Porous Media	p. 124
Flow Equations for Quasi-Static Flow	p. 131
Multiphase Fluid Displacement	p. 132
A Megascopic Capillary Pressure Equation	p. 135
Boundary Conditions Associated with Fluid Displacement	p. 142
Instabilities During Immiscible Displacement	p. 145
Multiphase Flow with Phase Transitions	p. 149
Summary	p. 158
References	p. 159
Miscible Displacement in Porous Media
Objectives of this Chapter	p. 163
Equation of Continuity	p. 164
Convection Diffusion Theory	p. 168
A Solution of the Dynamical Equations	p. 175
Dispersion	p. 181
Summary	p. 186
References	p. 187
Porosity-Pressure Propagation
The Objectives of this Chapter	p. 191
Megascopic Equations for Porosity-Pressure Propagation and Diffusion	p. 191
Porosity Diffusion	p. 196
Porosity-pressure wave propogation	p. 199
Summary	p. 201
References	p. 201
Granular Flow
Objectives of this Chapter	p. 203
Stability of a Porous Medium-Fluid Suspension Boundary	p. 204
Stability of a Particulate Boundary in a Porous Medium	p. 207
Flow of Suspensions in a Fluid	p. 210
Summary	p. 215
References	p. 216
Index	p. 217
Table of Contents provided by Syndetics. All Rights Reserved.

The Thermophysics of Porous Media

At a Glance

Hardcover

Industry Reviews

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