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Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems

Thermodynamically constrained averaging theory provides a consistent method for upscaling conservation and thermodynamic equations for application in the study of porous medium systems.  The method provides dynamic equations for phases, interfaces, and common curves that are closely based on insight...

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Main Authors: Gray, William G. (Author, http://id.loc.gov/vocabulary/relators/aut), Miller, Cass T. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:Advances in Geophysical and Environmental Mechanics and Mathematics,
Subjects:
Geophysics.
Geology—Statistical methods.
Mineralogy.
Thermodynamics.
Geophysics/Geodesy.
Quantitative Geology.
Online Access:https://doi.org/10.1007/978-3-319-04010-3
Table of Contents:
  • Chapter 1 Elements of Thermodynamically Constrained Averaging Theory
  • Chapter 2 Microscale Conservation Principles
  • Chapter 3 Microscale Thermodynamics
  • Chapter 4 Microscale Equilibrium Conditions
  • Chapter 5 Microscale Closure for a Fluid Phase
  • Chapter 6 Macroscale Conservation Principles
  • Chapter 7 Macroscale Thermodynamics
  • Chapter 8 Evolution Equations
  • Chapter 9 Single-Fluid-Phase Flow
  • Chapter 10 Single-Fluid-Phase Species Transport
  • Chapter 11 Two-Phase Flow
  • Chapter 12 Modeling Approach and Extensions
  • Appendix A Considerations on Calculus of Variations
  • Appendix B Derivations of Averaging Theorems
  • Appendix C Constrained Entropy Inequality Derivations
  • Index.

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