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This work focuses on the fluid transport phenomenon in porous media and filtering water process under the effect of a dynamic pressure. Many parameters determine the behavior of this transport namely the medium permeability and its porosity. The study is a numerical simulation, using the Langevin dynamics based on the competition between the stochastic and the dissipation process and Darcy’s law, which tries to elucidate the effect of the medium porosity, its permeability, the dynamic pressure and the friction coefficient on the average normalized velocity of the flow. The results show that the time evolution of the average normalized velocity exhibits an exponential profile with two different regimes, with a decreasing behavior versus the friction coefficient, but an increasing behavior versus the dynamic pressure, the medium porosity and its permeability. The relation between the medium permeability and its porosity checks a scaling law with a universal exponent in agreement with experimental results. |
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