Optimal bounds on the trapping constant and permeability of porous media

S. Torquato, D. C. Pham

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


The evaluation of the void bounds on the trapping constant γ and fluid permeability k for the coated-sphere and coated-cylinder models of porous media was presented. It was shown that the void bounds were optimal in some cases as they coincide with the corresponding exact solutions of γ and k. The exact expressions for the relevant length scale that arises in the void bounds which depends on S2(r) was obtained. It was suggested that the model microstructures have been found that exactly realize bounds on either the trapping constant or fluid permeability.

Original languageEnglish (US)
Article number255505
Pages (from-to)255505-1-255505-4
JournalPhysical review letters
Issue number25 I
StatePublished - Jun 25 2004

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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