Scaling behavior for dynamic permeability in porous media

Ping Sheng, Min-Yau Zhou, E. Charlaix, A.P. Kushnick and J.P. Stokes

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 514-519

Abstract: We present theoretical and experimental evidences that show the frequency-dependent permeability κ(ω) for a porous medium is a scaling function with only two parameters; i.e. κ(ω)/κ0 = κ~(ω/ωc), where κ0 is the static permeability, ωc is a characteristic frequency particular to the sample, and κ~ is a function dominated by the geometry of the throat regions in a medium. If the pore cross sectional area varies slowly near the throat, the κ~ is an approximate universal function independent of porous microstructures. We advance arguments that delineate the physical origin for the scaling behavior as well as the condition for its validity.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:514-519

DOI: 10.1016/0378-4371(89)90353-1

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