NUMERICAL AND ASYMPTOTIC MODELING OF A FILTRATION PROBLEM WITH THE INITIAL DEPOSIT

Ludmila I. Kuzmina; Yuri V. Osipov; Yuri P. Galaguz

doi:10.22337/1524-5845-2017-13-3-70-76

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Published: Sep 11, 2017

DOI: https://doi.org/10.22337/1524-5845-2017-13-3-70-76

Keywords:

filtration problem, suspension, filtration coefficient, size-exclusion particle capture, asymptotic solution, numerical calculation

Ludmila I. Kuzmina

National Research University Higher School of Economics, Moscow, RUSSIA

Yuri V. Osipov

National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

Yuri P. Galaguz

National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

Abstract

The study of filtration as one of the problems of underground hydromechanics is necessary for the design and construction of tunnels, underground and hydraulic structures. Deep bed filtration of suspension in a porous medium with variable porosity and permeability and with an initial deposit is considered. An asymptotic solution to a model with small limit deposit is constructed; the asymptotics is compared with numerical calculation.

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How to Cite

Kuzmina, L. I., Osipov, Y. V., & Galaguz, Y. P. (2017). NUMERICAL AND ASYMPTOTIC MODELING OF A FILTRATION PROBLEM WITH THE INITIAL DEPOSIT. International Journal for Computational Civil and Structural Engineering, 13(3), 70–76. https://doi.org/10.22337/1524-5845-2017-13-3-70-76