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





geomechanic, filtration, finite element method, finite volume method, method of splitting with respect to physical processes, coupled solution


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.

Author Biographies

K.Yu. Bogachev

E.V. Piskovskiy

«Rock Flow Dynamics»
• Chief Specialist, Graduate Student

G.G. Piatsky


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How to Cite

Богачев К.Ю., Писковский Е.В., Пяцкий Г.Г. A Method for the Coupled Solution of the Filtration Problem and the System of Elasticity Equations // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2017. 18. 221-226. doi 10.26089/NumMet.v18r320



Section 1. Numerical methods and applications

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