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Journal of Applied and Industrial Mathematics

Erschienen in:

01.08.2020

Some Model of a Suspension Filtration in a Porous Media That Accounts for the Two-Zone and Multistage Character of Deposition Kinetics

verfasst von: B. Kh. Khuzhayorov, J. M. Makhmudov, B. M. Fayziev, T. I. Begmatov

Erschienen in: Journal of Applied and Industrial Mathematics | Ausgabe 3/2020

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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.

Vorheriger Artikel Solution of the Convolution Type Volterra Integral Equations of the First Kind by the Quadrature-Sum Method

Nächster Artikel On a Modification of the Rusanov Solver for the Equations of Special Relativistic Magnetic Hydrodynamics

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Titel: Some Model of a Suspension Filtration in a Porous Media That Accounts for the Two-Zone and Multistage Character of Deposition Kinetics
verfasst von: B. Kh. Khuzhayorov
J. M. Makhmudov
B. M. Fayziev
T. I. Begmatov
Publikationsdatum: 01.08.2020
Verlag: Pleiades Publishing
Erschienen in: Journal of Applied and Industrial Mathematics / Ausgabe 3/2020
Print ISSN: 1990-4789
Elektronische ISSN: 1990-4797
DOI: https://doi.org/10.1134/S1990478920030102

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