Research article Vol. 16 No. 4 (2020): International Journal for Computational Civil and Structural Engineering

DETERMINING THE LENGMUR COEFFICIENT OF THE FILTRATION PROBLEM

Liudmila Kuzmina, Yuri Osipov
50-56 DOI 10.22337/2587-9618-2020-16-4-50-56 Published 2020-12-28
PDF
How to Cite

DETERMINING THE LENGMUR COEFFICIENT OF THE FILTRATION PROBLEM

Authors

  • Liudmila Kuzmina National Research University Higher School of Economics, Moscow, RUSSIA
  • Yuri Osipov National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2020-16-4-50-56

Keywords:

deep bed filtration, porous medium, mathematical model, asymptotics, inverse problem

Abstract

Filtration of suspension in a porous medium is actual in the construction of tunnels and underground structures. A model of deep bed filtration with size-exclusion mechanism of particle capture is considered. The inverse filtration problem - finding the Langmuir coefficient from a given concentration of suspended particles at the porous medium outlet is solved using the asymptotic solution near the concentrations front. The Langmuir coefficient constants are obtained by the least squares method from the condition of best approximation of the asymptotics to exact solution. It is shown that the calculated parameters are close to the coefficients of the model, and the asymptotics well approximates the exact solution

1534 300

Downloads

Published

2020-12-28

Issue

Vol. 16 No. 4 (2020): International Journal for Computational Civil and Structural Engineering

Section

Research article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Kuzmina, L., & Osipov, Y. (2020). DETERMINING THE LENGMUR COEFFICIENT OF THE FILTRATION PROBLEM. International Journal for Computational Civil and Structural Engineering, 16(4), 50-56. https://doi.org/10.22337/2587-9618-2020-16-4-50-56

Keywords

deep bed filtration, porous medium, mathematical model, asymptotics, inverse problem

Most read articles by the same author(s)