PMID: 15245026Jul 13, 2004Paper

Optimal bounds on the trapping constant and permeability of porous media

Physical Review Letters
S Torquato, D C Pham

Abstract

We derive exact expressions for so-called "void" bounds on the trapping constant gamma and fluid permeability k for coated-sphere and coated-cylinder models of porous media. We find that in some cases the bounds are optimal. In these instances, exact expressions are obtained for the relevant length scale that arises in the void bounds, which depends on a two-point correlation function that characterizes the porous medium. This is the first time that model microstructures have been found that exactly realize bounds on either the trapping constant or fluid permeability.

References

Jan 1, 1987·Physical Review. B, Condensed Matter·S FengP N Sen
Sep 1, 1991·Physical Review. B, Condensed Matter·D J WilkinsonL M Schwartz
Nov 17, 1986·Physical Review Letters·D L JohnsonL M Schwartz
Oct 3, 1988·Physical Review Letters·P Sheng, M Y Zhou

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Citations

Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Y Jung, S Torquato
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Y JiaoS Torquato
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tobias M Müller, Pratap N Sahay
Aug 23, 2016·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Salvatore Torquato
Feb 9, 2011·Physical Biology·Salvatore Torquato
Sep 15, 2016·Physical Review. E·Salvatore Torquato
Jun 20, 2019·Physical Review. E·Jaeuk Kim, Salvatore Torquato
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jana Gevertz, S Torquato
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yang JiaoSalvatore Torquato

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