Research article Vol. 15 No. 2 (2019): International Journal for Computational Civil and Structural Engineering

GLOBAL ASYMPTOTICS OF THE FILTRATION PROBLEM IN A POROUS MEDIUM

Lyudmila Kuzmina, Yuri Osipov, Yulia Zheglova
77-85 DOI 10.22337/2587-9618-2019-15-2-77-85 Published 2019-06-24
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GLOBAL ASYMPTOTICS OF THE FILTRATION PROBLEM IN A POROUS MEDIUM

Authors

DOI:

https://doi.org/10.22337/2587-9618-2019-15-2-77-85

Keywords:

deep bed filtration, porous medium, suspended and retained particles, mathematical model, global asymptotics

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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Author Biographies

  • Lyudmila Kuzmina, National Research University Higher School of Economics, Moscow, RUSSIA

    Candidate of Physical and Mathematical Sciences, Associate
    Professor, Department of Applied Mathematics

  • Yuri Osipov, National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

    зав. кафедрой прикладной математики

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Published

2019-06-24

Issue

Vol. 15 No. 2 (2019): International Journal for Computational Civil and Structural Engineering

Section

Research article

How to Cite

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

Keywords

deep bed filtration, porous medium, suspended and retained particles, mathematical model, global asymptotics

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