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The Thermophysics of Porous Media

The Thermophysics of Porous Media by T.J.T. Spanos
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INTRODUCTION
Terminology and Objectives
Tensor Analysis
Coordinate Transformation
Tensor Calculus (summation convention back in effect
Conservation Laws
Energy Momentum Tensor and its Properties
Euler Lagrange Equations
Averaging
Automata Modeling
References
THERMOMECHANICS AND POROMECHANICS
Content of this Chapter
Previous Theories
Pore-Scale Equations
Construction of Megascale Equations for a Homogeneous Medium
Megascopic Potential Energy
Equations for a Homogeneous Medium
The Effect of Heterogeneity
Equations for a Spatially Varying Porosity
Implications for the Energy Momentum Tensor
References
THERMODYNAMICS - PORODYNAMICS OF DEFORMATION
Objectives of this Chapter
The Fluid Component
The Solid Component
Internal Energy for Porous Media
The Effect of Heterogeneity
Summary
References
THERMODYNAMIC AUTOMATA
Objectives of this Chapter
Cellular Automata Models
A Lorentz Invariant Lattice Gas Model
A Non Relativistic Model
Porous Media
Summary
References
SEISMIC WAVE PROPAGATION
Objectives of this Chapter
Construction of the Wave Equations
Reflection Transmission Problems
Effect of Thermomechanical Coupling
Breakdown of the Assumption of Interacting Phases
Surface Waves
Wave Propagation in an Inhomogeneous Medium
Summary
References
IMMISCIBLE FLOW
Objectives of this Chapter
Quasi-Static Two-Phase Flow in Porous Media
Flow Equations for Quasi-Static Flow
Multiphase Fluid Displacement
A Megascopic Capillary Pressure Equation
Boundary Conditions Associated with Fluid Displacement
Instabilities During Immiscible Displacement
Multiphase Flow with Phase Transitions
Summary
References
MISCIBLE DISPLACEMENT IN POROUS MEDIA
Objectives of this Chapter
Equation of Continuity
Convection Diffusion Theory
A Solution of The Dynamical Equations
Dispersion
Summary
References
POROSITY-PRESSURE PROPAGATION
Objectives of this Chapter
Megascopic Equations for Porosity-Pressure Propagation and Diffusion
Porosity Diffusion
Porosity Wave Propagation
Summary
References
GRANULAR FLOW
Objectives of this Chapter
Stability of a Porous Medium-Fluid Suspension Boundary
Stability of a Particulate Boundary in a Porous Medium
Flow of Suspensions in a Fluid
Summary
References
CRC Press; November 2001
233 pages; ISBN 9781420026122
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Title: The Thermophysics of Porous Media
Author: T.J.T. Spanos
 
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