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Relationship between permeability and diffusion-controlled trapping constant of porous media

1990; American Physical Society; Volume: 64; Issue: 22 Linguagem: Inglês

10.1103/physrevlett.64.2644

1092-0145

Salvatore Torquato,

Composite Material Mechanics

For anisotropic porous media of arbitrary topology, it is shown that there exists a rigorous relation between the fluid permeability tensor k and the diffusion-controlled trapping constant \ensuremath{\gamma}, namely, k\ensuremath{\le}${\ensuremath{\gamma}}^{\mathrm{\ensuremath{-}}1}$I. It is demonstrated that the equality is achieved for a certain class of microstructures and that the bound can be relatively sharp for other media. The important fundamental as well as practical implications of this relation are discussed.