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The thermophysics of porous media

Author: T J T Spanos
Publisher: Boca Raton : Chapman & Hall/CRC, ©2002.
Series: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, 126.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

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.  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: T J T Spanos
ISBN: 1584881070 9781584881070
OCLC Number: 48045539
Description: xii, 220 pages ; 25 cm.
Contents: ii Tensor Analysis 2 --
iii Coordinate Transformation 7 --
iv Tensor Calculus (summation convention back in effect) 11 --
v Conservation Laws 12 --
vi Energy Momentum Tensor and Its Properties 13 --
vii Euler Lagrange Equations 14 --
viii Averaging 17 --
ix Automata Modeling 18 --
Chapter II Thermomechanics and Poromechanics --
ii Previous Theories 21 --
iii Pore-Scale Equations 22 --
iv Construction of Megascale Equations for a Homogeneous Medium 24 --
v Megascopic Potential Energy 36 --
vi Equations for a Homogeneous Medium (neglecting thermomechanical coupling) 38 --
vii Effect of Heterogeneity 39 --
viii Equations for a Spatially Varying Porosity 47 --
ix Implications for the Energy Momentum Tensor 48 --
Chapter III Thermodynamics --
Porodynamics of Deformation --
ii Fluid Component 58 --
iii Solid Component 62 --
iv Internal Energy for Porous Media 67 --
v Effect of Heterogeneity 71 --
Chapter IV Thermodynamic Automata --
ii Cellular Automata Models 78 --
iii A Lorentz Invariant Lattice Gas Model 79 --
iv A Non-Relativistic Model 88 --
v Porous Media 91 --
Chapter V Seismic Wave Propagation --
ii Construction of the Wave Equations 99 --
iii Reflection Transmission Problems 106 --
iv Effect of Thermomechanical Coupling 109 --
v Breakdown of the Assumption of Interacting Phases 111 --
vi Surface Waves 112 --
vii Wave Propagation in an Inhomogeneous Medium 116 --
Chapter VI Immiscible Flow --
ii Quasi-Static Two-Phase Flow in Porous Media 124 --
iii Flow Equations for Quasi-Static Flow 131 --
iv Multiphase Fluid Displacement 132 --
v A Megascopic Capillary Pressure Equation 135 --
vi Boundary Conditions Associated with Fluid Displacement 142 --
vii Instabilities During Immiscible Displacement 145 --
viii Multiphase Flow with Phase Transitions 149 --
Chapter VII Miscible Displacement in Porous Media --
ii Equation of Continuity 164 --
iii Convection Diffusion Theory 168 --
iv A Solution of the Dynamical Equations 175 --
v Dispersion 181 --
Chapter VIII Porosity-Pressure Propagation --
ii Megascopic Equations for Porosity-Pressure Propagation and Diffusion 191 --
iii Porosity Diffusion 196 --
iv Porosity-pressure wave propogation 199 --
Chapter IX Granular Flow --
ii Stability of a Porous Medium-Fluid Suspension Boundary 204 --
iii Stability of a Particulate Boundary in a Porous Medium 207 --
iv Flow of Suspensions in a Fluid 210.
Series Title: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, 126.
Responsibility: T.J.T. Spanos.
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"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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