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