Percolation disorder in viscous and nonviscous flow through porous media

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Abstract
The complete set of Navier-Stokes equations has been numerically solved for two-dimensional random pore networks subjected to site percolation disorder. Both viscous and nonviscous flow regimes have been investigated to emphasize the effect of structure and phenomenology on deviation from the classical Darcy law of permeability. It is shown that near the percolation threshold, different scaling laws apply for distinct flow conditions. At this transition region, discrepancies in the critical exponents reflect the influence of the convective momentum transfer mechanism on the overall behavior of the disordered physical system.