LEADER 04240nam  22006975  450 
001 9910299555703321
005 20200703223553.0
010   $a3-319-04010-3
024 7 $a10.1007/978-3-319-04010-3
035   $a(CKB)3710000000089127
035   $a(EBL)1698333
035   $a(OCoLC)881161831
035   $a(SSID)ssj0001161072
035   $a(PQKBManifestationID)11624886
035   $a(PQKBTitleCode)TC0001161072
035   $a(PQKBWorkID)11122245
035   $a(PQKB)10982578
035   $a(MiAaPQ)EBC1698333
035   $a(DE-He213)978-3-319-04010-3
035   $a(PPN)176750568
035   $a(EXLCZ)993710000000089127
100   $a20140219d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aIntroduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems /$fby William G. Gray, Cass T. Miller
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (609 p.)
225 1 $aAdvances in Geophysical and Environmental Mechanics and Mathematics,$x1866-8348
300   $aDescription based upon print version of record.
311   $a3-319-04009-X 
320   $aIncludes bibliographical references and index.
327   $aChapter 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.
330   $aThermodynamically constrained averaging theory provides a consistent method for upscaling conservation and thermodynamic equations for application in the study of porous medium systems.  The method provides dynamic equations for phases, interfaces, and common curves that are closely based on insights from the entropy inequality. All larger scale variables in the equations are explicitly defined in terms of their microscale precursors, facilitating the determination of important parameters and macroscale state equations based on microscale experimental and computational analysis. The method requires that all assumptions that lead to a particular equation form be explicitly indicated, a restriction which is useful in ascertaining the range of applicability of a model as well as potential sources of error and opportunities to improve the analysis.
410  0$aAdvances in Geophysical and Environmental Mechanics and Mathematics,$x1866-8348
606   $aGeophysics
606   $aGeology?Statistical methods
606   $aMineralogy
606   $aThermodynamics
606   $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009
606   $aQuantitative Geology$3https://scigraph.springernature.com/ontologies/product-market-codes/G17030
606   $aMineralogy$3https://scigraph.springernature.com/ontologies/product-market-codes/G38000
606   $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050
615  0$aGeophysics.
615  0$aGeology?Statistical methods.
615  0$aMineralogy.
615  0$aThermodynamics.
615 14$aGeophysics/Geodesy.
615 24$aQuantitative Geology.
615 24$aMineralogy.
615 24$aThermodynamics.
676   $a620.116015118
700   $aGray$b William G$4aut$4http://id.loc.gov/vocabulary/relators/aut$0447822
702   $aMiller$b Cass T$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910299555703321
996   $aIntroduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems$92501963
997   $aUNINA