Relationship between permeability and diffusion-controlled trapping constant of porous media
Salvatore Torquato · Physical Review Letters · 1990
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.