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Num. Meth. Prog., 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. Bogacheva, E. V. Piskovskiyb, G. G. Piatskya

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

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.

Full text: PDF file (312 kB)
UDC: 519.683.4
Received: 23.03.2017

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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