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<sup>a

a</sup> 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.

UDC: 519.683.4

Received: 23.03.2017