Numerical solution of an inverse filtration problem
- Autores: Vabishchevich P.1, Vasil’ev V.2, Vasil’eva M.3, Nikiforov D.2
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Afiliações:
- Nuclear Safety Institute of the Russian Academy of Sciences, Moscow
- Ammosov North-Eastern Federal University
- Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
- Edição: Volume 37, Nº 6 (2016)
- Páginas: 777-786
- Seção: Selected Articles from the Journal Uchenye Zapiski Kazanskogo Universiteta, Seriya Fiziko-Matematicheskie Nauki
- URL: https://journals.rcsi.science/1995-0802/article/view/198547
- DOI: https://doi.org/10.1134/S1995080216060056
- ID: 198547
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Resumo
A numerical method is suggested for solving the multidimensional inverse problem of finding the flow rates of wells from given bottomhole pressures in the multidimensional flow model of a weakly compressible liquid in a poroelastic medium. Spatial approximation is based on the finite element method, which allows one to employ unstructured grids with refinements near the location of wells. Time discretization is performed with the use of implicit difference approximation. The numerical results for two- and three-dimensional test problems are presented.
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Sobre autores
P. Vabishchevich
Nuclear Safety Institute of the Russian Academy of Sciences, Moscow
Autor responsável pela correspondência
Email: vabishchevich@gmail.com
Rússia, Bol’shaya Tul’skaya ul. 52, Moscow, 113191
V. Vasil’ev
Ammosov North-Eastern Federal University
Email: vabishchevich@gmail.com
Rússia, ul. Belinskogo 58, Yakutsk, Republic Sakha (Yakutiya), 677000
M. Vasil’eva
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
Email: vabishchevich@gmail.com
Rússia, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090
D. Nikiforov
Ammosov North-Eastern Federal University
Email: vabishchevich@gmail.com
Rússia, ul. Belinskogo 58, Yakutsk, Republic Sakha (Yakutiya), 677000