Introduction to the thermodynamically constrained averaging theory for porous medium systems
By: William G. Gray, Cass T. Miller
Contributors: Miller, Cass T. (Cass Timothy), author
Series: Advances in geophysical and environmental mechanics and mathematics
Publisher: Springer
Published: 2014
Place of publication: Cham; New York
Language: eng
Number of pages: 582
ISBN-13: 9783319040097; 9783319040193
Copyright date: 2014
Subjects: Thermodynamics; Mathematics; Porous materials; Mathematical models
Description: 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.--
Notes: Includes bibliographical references and index.