Introduction to the Thermodynamically Cons...

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Beschreibung

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.

Zusammenfassung

Self-contained introduction to the derivation of conservation, thermodynamic, and evolution equations for modeling multiphase porous media systems

Formulates entropy inequalities that can be used to guide the closure of governing equation systems

Includes detailed applications to formulate models for flow and transport consistent across scales

Presents a forward-looking discussion of open research problems in multi-scale porous medium systems

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2016
Fachbereich:	Geologie
Genre:	Geowissenschaften , Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xxxiv 582 S. 1 s/w Illustr. 11 farbige Illustr. 582 p. 12 illus. 11 illus. in color.
ISBN-13:	9783319355016
ISBN-10:	3319355015
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Gray, William G. Miller, Cass T.
Auflage:	Softcover reprint of the original 1st edition 2014
Hersteller:	Springer
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 33 mm
Von/Mit:	William G. Gray (u. a.)
Erscheinungsdatum:	29.10.2016
Gewicht:	0,92 kg

Artikel-ID: 107671699