Scaling behavior for dynamic permeability in porous media

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.