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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2015, Volume 157, Book 4, Pages 79–89 (Mi uzku1338)  
Numerical solution of an inverse problem of filtration

P. N. Vabishchevicha, V. l. Vasil'evb, M. V. Vasil'evac, D. Ya. Nikiforovb

a Nuclear Safety Institute, RAS, Moscow, Russia
b North-Eastern Federal University named after M. K. Ammosov, Yakutsk, Russia
c Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
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Abstract: A numerical method is suggested to solve the multidimensional inverse problem for the fluid flow in a porous media in order to determine the flow rates by the given bottomhole pressure. Approximation by space is based on the finite element method that allows simulation in unstructured grids with refinement near the location of wells. Discretization by time is performed with the use of implicit difference approximation. The numerical results for two- and three-dimensional test problems are presented.
Keywords: filtration, inverse problem, debit, bottomhole pressure, finite element method, unstructured grids.
Funding agency Grant number
Russian Science Foundation 15-11-10024
Russian Foundation for Basic Research 14-01-00785
Received: 08.09.2015
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: P. N. Vabishchevich, V. l. Vasil'ev, M. V. Vasil'eva, D. Ya. Nikiforov, “Numerical solution of an inverse problem of filtration”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157, no. 4, Kazan University, Kazan, 2015, 79–89
Citation in format AMSBIB
\Bibitem{VabVasVas15}
\by P.~N.~Vabishchevich, V.~l.~Vasil'ev, M.~V.~Vasil'eva, D.~Ya.~Nikiforov
\paper Numerical solution of an inverse problem of filtration
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2015
\vol 157
\issue 4
\pages 79--89
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1338}
\elib{https://elibrary.ru/item.asp?id=25005282}
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