Research article Vol. 18 No. 3 (2022): International Journal for Computational Civil and Structural Engineering

ANALYSIS OF THE FILTRATION PROBLEM BY BITWISE SEARCH METHOD

Liudmila Kuzmina, Yuri Osipov, Maxim Astakhov
86-94 DOI 10.22337/2587-9618-2022-18-3-86-94 Published 2022-09-27
PDF
How to Cite

ANALYSIS OF THE FILTRATION PROBLEM BY BITWISE SEARCH METHOD

Authors

  • Liudmila Kuzmina HSE University, Moscow, RUSSIA
  • Yuri Osipov Moscow State University of Civil Engineering, Moscow, RUSSIA
  • Maxim Astakhov Moscow State University of Civil Engineering, Moscow, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2022-18-3-86-94

Keywords:

deep bed filtration, bidisperse suspension, retention profiles, exact solution, bitwise search method

Abstract

During the construction of ground and underground structures, filtration of a liquid grout in loose soil makes it possible to strengthen the foundation and create underground waterproof partitions. A one-dimensional problem of filtering a bidisperse suspension in a homogeneous porous medium with size-exclusion particle capture mechanism is considered. The article is devoted to the calculation of the exact solution of the problem given as the upper limit of the integral with a singularity. The proposed bitwise search method for calculating integrals makes it possible to smooth out fluctuations of the solution near the singularity. Partial and total retention profiles are analyzed.

1423 364

Author Biography

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

    зав. кафедрой прикладной математики

Downloads

Published

2022-09-27

Issue

Vol. 18 No. 3 (2022): International Journal for Computational Civil and Structural Engineering

Section

Research article

License

Copyright (c) 2022 International Journal for Computational Civil and Structural Engineering

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. (2022). ANALYSIS OF THE FILTRATION PROBLEM BY BITWISE SEARCH METHOD. International Journal for Computational Civil and Structural Engineering, 18(3), 86-94. https://doi.org/10.22337/2587-9618-2022-18-3-86-94

Keywords

deep bed filtration bidisperse suspension retention profiles exact solution bitwise search method

Most read articles by the same author(s)