Abstract:
The problem of suspension filtration in a porous medium consisting of active and passive zones is posed and numerically solved in the case of a multistage kinetics of particle deposition. Some mathematical model of the process is proposed that is based on the general conservation laws and additional phenomenological assumptions.
The influence of the multistage kinetics of particle deposition on the filtration characteristics is considered. We establish that, as the parameter characterizing the duration of the stage of formation of the irreversible deposition increases, a region with complete saturation of the passive zone capacity appears near the filter inlet.
No further increase of the deposition concentration in the passive zone is observed, while the process of particles movement in suspension and deposition of them in the active zone continues.
Citation:
B. Kh. Khuzhayorov, J. M. Makhmudov, B. M. Fayziev, T. I. Begmatov, “Some model of a suspension filtration in a porous media that accounts for the two-zone and multistage character of deposition kinetics”, Sib. Zh. Ind. Mat., 23:3 (2020), 139–151; J. Appl. Industr. Math., 14:3 (2020), 513–523
\Bibitem{KhuMakFay20}
\by B.~Kh.~Khuzhayorov, J.~M.~Makhmudov, B.~M.~Fayziev, T.~I.~Begmatov
\paper Some model of a suspension filtration in a porous media that accounts for the two-zone and multistage character of deposition kinetics
\jour Sib. Zh. Ind. Mat.
\yr 2020
\vol 23
\issue 3
\pages 139--151
\mathnet{http://mi.mathnet.ru/sjim1104}
\crossref{https://doi.org/10.33048/SIBJIM.2020.23.311}
\elib{https://elibrary.ru/item.asp?id=45183580}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 3
\pages 513--523
\crossref{https://doi.org/10.1134/S1990478920030102}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85094637136}
Linking options:
https://www.mathnet.ru/eng/sjim1104
https://www.mathnet.ru/eng/sjim/v23/i3/p139
This publication is cited in the following 14 articles:
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Bakhtiyor Khuzhayorov, Azizbek Usmonov, Fakhriddin Kholliev, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 3147, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 2024, 030037
Sardor Usarov, Shavkat Zikiryaev, Bakhodir Mardonov, Gafur Namazov, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 3147, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 2024, 030040
Jabbor Mustofoqulov, Ismatulla Xayrullayev, Farrukh Husanov, Komiljon Gulomkodirov, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 3147, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 2024, 030038
Vladimir Burnashev, Zokhidjon Kaytarov, Javlonbek Tuygunov, Odilbek Kosimov, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 3147, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 2024, 030042
Erkin Kholiyarov, Dilmurod Turaev, Javokhir Buriev, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 3244, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 2024, 020069
Normakhmad Ravshanov, Iroda Kholmatova, Dilmurod Tukhtanazarov, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 3244, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 2024, 020004
Vladimir Burnashev, Zokhidjon Kaytarov, Umarali Nazarov, Rakhmon Safarov, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 3244, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 2024, 060039
Yuldosh Gaybulov, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 3244, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 2024, 020057
Komiljon Shaimov, Masudjon Eshmurodov, Mirolim Shodmonqulov, Qodirjon Gaybulov, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 3244, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 2024, 020011
Bekzodjon Fayziev, Shakhnoza Tursunova, Tulkin Begmatov, Rakhmon Safarov, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 3244, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 2024, 020075
Bakhtiyor Khuzhayorov, Jamol Makhmudov, Bekzodjon Fayziev, Tulkin Begmatov, Otabek Sagdullaev, INTERNATIONAL CONFERENCE ON ACTUAL PROBLEMS OF APPLIED MECHANICS - APAM-2021, 2637, INTERNATIONAL CONFERENCE ON ACTUAL PROBLEMS OF APPLIED MECHANICS - APAM-2021, 2022, 040019
Bakhtiyor Khuzhayorov, Bekzodjon Fayziev, Tulkin Begmatov, INTERNATIONAL CONFERENCE ON ACTUAL PROBLEMS OF APPLIED MECHANICS - APAM-2021, 2637, INTERNATIONAL CONFERENCE ON ACTUAL PROBLEMS OF APPLIED MECHANICS - APAM-2021, 2022, 040014
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