Introduction / Chapter I: |
Terminology and Objectives / i: |
Tensor Analysis / ii: |
Coordinate Transformation / iii: |
Tensor Calculus (summation convention back in effect) / iv: |
Conservation Laws / v: |
Energy Momentum Tensor and Its Properties / vi: |
Euler Lagrange Equations / vii: |
Averaging / viii: |
Automata Modeling / ix: |
References |
Thermomechanics and Poromechanics / Chapter II: |
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 (neglecting thermomechanical coupling) |
The Effect of Heterogeneity |
Equations for a Spatially Varying Porosity |
Implications for the Energy Momentum Tensor |
Thermodynamics - Porodynamics of Deformation / Chapter III: |
Objectives of this Chapter |
The Fluid Component |
The Solid Component |
Internal Energy for Porous Media |
Summary |
Thermodynamic Automata / Chapter IV: |
Cellular Automata Models |
A Lorentz Invariant Lattice Gas Model |
A Non-Relativistic Model |
Porous Media |
Seismic Wave Propagation / Chapter V: |
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 |
Immiscible Flow / Chapter VI: |
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 |
Miscible Displacement in Porous Media / Chapter VII: |
Equation of Continuity |
Convection Diffusion Theory |
A Solution of the Dynamical Equations |
Dispersion |
Porosity-Pressure Propagation / Chapter VIII: |
The Objectives of this Chapter |
Megascopic Equations for Porosity-Pressure Propagation and Diffusion |
Porosity Diffusion |
Porosity-pressure wave propogation |
Granular Flow / Chapter IX: |
Stability of a Porous Medium-Fluid Suspension Boundary |
Stability of a Particulate Boundary in a Porous Medium |
Flow of Suspensions in a Fluid |
Index |
Introduction / Chapter I: |
Terminology and Objectives / i: |
Tensor Analysis / ii: |
Coordinate Transformation / iii: |
Tensor Calculus (summation convention back in effect) / iv: |
Conservation Laws / v: |