On the Rapid Estimation of Permeability for Porous Media Using Brownian Motion Paths

Details On the Rapid Estimation of Permeability for Porous Media Using Brownian Motion Paths On the Rapid Estimation of Permeability for Porous Media Using Brownian Motion Paths

2000-10-24

arxiv.org/abs/cond-mat/0010368v1

Physics of Fluids, 12(7), 1699 (2000)

Physics

Condensed Matter

Materials Science

Scientific paper

10.1063/1.870420

We describe two efficient methods of estimating the fluid permeability of standard models of porous media by using the statistics of continuous Brownian motion paths that initiate outside a sample and terminate on contacting the porous sample. The first method associates the "penetration depth" with a specific property of the Brownian paths, then uses the standard relation between penetration depth and permeability to calculate the latter. The second method uses Brownian paths to calculate an effective capacitance for the sample, then relates the capacitance, via angle-averaging theorems to the translational hydrodynamic friction of the sample. Finally, a result of Felderhof is used to relate the latter quantity to the permeability of the sample. We find that the penetration depth method is highly accurate in predicting permeability of porous material.

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