Title: Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems (Advances in Geophysical and Environmental Mechanics and Mathematics)
Publisher: Springer
Publication Date: 2016
Language: English
ISBN 10: 3319355015
ISBN 13: 9783319355016
Binding: Soft cover
Condition: New

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Synopsis

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 insights from the entropy inequality. All larger scale variables in the equations are explicitly defined in terms of their microscale precursors, facilitating the determination of important parameters and macroscale state equations based on microscale experimental and computational analysis. The method requires that all assumptions that lead to a particular equation form be explicitly indicated, a restriction which is useful in ascertaining the range of applicability of a model as well as potential sources of error and opportunities to improve the analysis.

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