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, namely, k-1I. 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.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)