K. Yu. Bogachev, E. V. Piskovskiy, G. G. Piatsky, “A method for the coupled solution of the filtration problem and the system of elasticity equations”, Num. Meth. Prog., 18:3 (2017), 221

Numerical methods and programming

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Numerical methods and programming, 2017, Volume 18, Issue 3, Pages 221–226 (Mi vmp875)

A method for the coupled solution of the filtration problem and the system of elasticity equations

K. Yu. Bogachev^a, E. V. Piskovskiy^b, G. G. Piatsky^a

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Rock Flow Dynamics, Moscow

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Abstract: A method for the coupled solution of the vicious compressible fluid filtration problem in a porous medium and the system of elasticity equations in the case of small strains is proposed. The proposed method uses a combined algorithm based on splitting the original problem with respect to physical processes. The algorithm allows one to overcome a number of disadvantages of well-known approaches. The numerical results confirm the efficiency of the proposed method for practice.

Keywords: geomechanics, filtration, finite element method, finite volume method, method of splitting with respect to physical processes, coupled solution.

Received: 23.03.2017

UDC: 519.683.4

Language: Russian

Citation: K. Yu. Bogachev, E. V. Piskovskiy, G. G. Piatsky, “A method for the coupled solution of the filtration problem and the system of elasticity equations”, Num. Meth. Prog., 18:3 (2017), 221–226

Citation in format AMSBIB

\Bibitem{BogPisPia17}

\by K.~Yu.~Bogachev, E.~V.~Piskovskiy, G.~G.~Piatsky

\paper A method for the coupled solution of the filtration problem and the system of elasticity equations

\jour Num. Meth. Prog.

\yr 2017

\vol 18

\issue 3

\pages 221--226

\mathnet{http://mi.mathnet.ru/vmp875}

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https://www.mathnet.ru/eng/vmp/v18/i3/p221

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