http://dspace.bsu.edu.ru/handle/123456789/20320
Title: | Mathematical models of a liquid filtration from reservoirs |
Authors: | Meirmanov, A. M. Erygina, N. Mukhambetzhanov, S. |
Keywords: | mathematics mathematical analysis Lame's equation stokes equation liquid filtration homogenization poroelasticity |
Issue Date: | 2014 |
Citation: | Meirmanov, A.M. Mathematical models of a liquid filtration from reservoirs / A. M. Meirmanov, N. Erygina, S. Mukhambetzhanov // Electronic Journal of Differential Equations. - 2014. - Vol.2014, №49.-P. 1-13. |
Abstract: | This article studies the ltration from reservoirs into porous media under gravity. We start with the exact mathematical model at the microscopic level, describing the joint motion of a liquid in reservoir and the same liquid and the elastic solid skeleton in the porous medium. Then using a homogenization procedure we derive the chain of macroscopic models from the poroelasticity equations up to the simplest Darcy's law in the porous medium and hydraulics in the reservoir |
URI: | http://dspace.bsu.edu.ru/handle/123456789/20320 |
Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
File | Description | Size | Format | |
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Meirmanov_MATHEMATICAL_14.pdf | 301.68 kB | Adobe PDF | View/Open |
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