Concentration gradient, diffusion, and flow through open porous medium near percolation threshold via computer simulations

R.B. Pandey, J.F. Gettrust and D. Stauffer

Physica A: Statistical Mechanics and its Applications, 2001, vol. 300, issue 1, 1-12

Abstract: The interacting lattice gas model is used to simulate fluid flow through an open percolating porous medium with the fluid entering at the source-end and leaving from the opposite end. The shape of the steady-state concentration profile and therefore the gradient field depends on the porosity (p). The root mean square (rms) displacements of fluid and its constituents (tracers) show a drift power-law behavior, R∝t in the asymptotic regime (t→∞). The flux current density (j) is found to scale with the porosity according to, j∝(Δp)β with Δp=p−pc and β≃1.7.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:300:y:2001:i:1:p:1-12

DOI: 10.1016/S0378-4371(01)00383-1

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