The Thermophysics of Porous Media

The Thermophysics of Porous Media

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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 more

Product details

  • Hardback | 230 pages
  • 157.5 x 240.3 x 18.5mm | 498.96g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 2002.
  • 1584881070
  • 9781584881070

Review quote

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

Table of contents

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 Referencesshow more