Fluid transport through two-dimensional porous media due to pressure difference is studied using the model of the Lattice Gas Cellular Automata. The effects of media thickness and pore structure on volumetric flux are studied. Flux was plotted as a function of time until its value does not change significantly with time. The volumetric fluxes in a steady-state condition are determined. The results show that the flux decreases linearly with increasing the thickness of the media at constant pressure difference. This flux also decreases with increasing the effective path length and lowering medium porosity.

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