Thermophysics of Porous Media, Vol. 126

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