Abstract

The propagation of the acoustic slow wave at high frequencies and fluid transport at quasistatic frequencies are governed by the high- and low-frequency limits of the dynamic permeability in a porous medium. Recent numerical and experimental studies of the frequency dependence of the dynamic permeability have shown that it displays an almost universal behavior, except at low frequencies for media with pores that have characteristically sharp corners. This discrepancy is caused by the effect of the low-frequency inertial factor that is the first correction to the static permeability. This parameter can be calculated for a given pore geometry, and when its effect is properly taken into account, it is possible to express the dynamic permeability over the full frequency range in terms of a simple scaling function.

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