GLOBAL ASYMPTOTICS OF THE FILTRATION PROBLEM IN A POROUS MEDIUM
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Abstract
Filtration of the suspension in a porous medium is important when strengthening the soil and creating watertight partitions for the constructi on of tunnels and underground structures. A model of deep bed filtration with variable porosity and fractional flow, and a size-exclusion mechanism of particle retention are considered. A global asymptotic solution is constructed in the entire domain in which the filtering process takes place. The obtained asymptotics is close to the numerical solution.
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Kuzmina, L., Osipov, Y., & Zheglova, Y. (2019). GLOBAL ASYMPTOTICS OF THE FILTRATION PROBLEM IN A POROUS MEDIUM. International Journal for Computational Civil and Structural Engineering, 15(2), 77-85. https://doi.org/10.22337/2587-9618-2019-15-2-77-85
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