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Scaling behavior for dynamic permeability in porous media

Author

Listed:
  • Sheng, Ping
  • Zhou, Min-Yau
  • Charlaix, E.
  • Kushnick, A.P.
  • Stokes, J.P.

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.

Suggested Citation

  • Sheng, Ping & Zhou, Min-Yau & Charlaix, E. & Kushnick, A.P. & Stokes, J.P., 1989. "Scaling behavior for dynamic permeability in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 514-519.
    • Handle: RePEc:eee:phsmap:v:157:y:1989:i:1:p:514-519
    DOI: 10.1016/0378-4371(89)90353-1
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