000 03436nam a22005295i 4500
001 978-3-319-04010-3
003 DE-He213
005 20160302172650.0
007 cr nn 008mamaa
008 140219s2014 gw | s |||| 0|eng d
020 _a9783319040103
_9978-3-319-04010-3
024 7 _a10.1007/978-3-319-04010-3
_2doi
050 4 _aQC801-809
072 7 _aPHVG
_2bicssc
072 7 _aSCI032000
_2bisacsh
082 0 4 _a550
_223
082 0 4 _a526.1
_223
100 1 _aGray, William G.
_eauthor.
245 1 0 _aIntroduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems
_h[electronic resource] /
_cby William G. Gray, Cass T. Miller.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXXXIV, 582 p. 12 illus., 11 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvances in Geophysical and Environmental Mechanics and Mathematics,
_x1866-8348
505 0 _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.
520 _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.
650 0 _aEarth sciences.
650 0 _aGeology
_xStatistical methods.
650 0 _aMineralogy.
650 0 _aGeophysics.
650 0 _aThermodynamics.
650 1 4 _aEarth Sciences.
650 2 4 _aGeophysics/Geodesy.
650 2 4 _aQuantitative Geology.
650 2 4 _aMineralogy.
650 2 4 _aThermodynamics.
700 1 _aMiller, Cass T.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319040097
830 0 _aAdvances in Geophysical and Environmental Mechanics and Mathematics,
_x1866-8348
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-04010-3
912 _aZDB-2-EES
999 _c207052
_d207052