CELLULAR-AUTOMATA CALCULATION OF FREQUENCY-DEPENDENT PERMEABILITY OF POROUS-MEDIA

Authors
KNACKSTEDT MA SAHIMI M CHAN DYC
Citation
Ma. Knackstedt et al., CELLULAR-AUTOMATA CALCULATION OF FREQUENCY-DEPENDENT PERMEABILITY OF POROUS-MEDIA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(4), 1993, pp. 2593-2597
Citations number
22
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
47
Issue
4
Year of publication
1993
Pages
2593 - 2597
Database
ISI
SICI code
1063-651X(1993)47:4<2593:CCOFPO>2.0.ZU;2-S
Abstract
We use a cellular-automata (CA) method to determine the frequency-depe ndent permeability k(omega) of a channel and a disordered porous mediu m. The CA results for the channel flow agree completely with the analy tical solution of the problem. For flow in a porous medium, we calcula te k(omega) over a wide range of the frequencies omega and for several values of the porosity. Our CA results for disordered porous media su pport the relation k(omega)/k0 = f(omega/omega(c)) where k0 is the sta tic permeability of the medium, omega(c) is a characteristic frequency , and f(x) is a universal function, proposed previously, based on expe rimental data.