"A method for the coupled solution of the filtration problem and the system of elasticity equations"
Bogachev K.Yu., Piskovskiy E.V., and Piatsky G.G.

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.

  • Bogachev K.Yu. – Lomonosov Moscow State University, Faculty of Mechanics and Mathematics; Leninskie Gory, Moscow, 119899, Russia; Dr. Sci., Associate Professor, e-mail: bogachev@mech.math.msu.su
  • Piskovskiy E.V. – Rock Flow Dynamics Company; ulitsa Profsoyuznaya 25A, Moscow, 117418, Russia; Leading Specialist, e-mail: evgeny.piskovskiy@gmail.com
  • Piatsky G.G. – Lomonosov Moscow State University, Faculty of Mechanics and Mathematics; Leninskie Gory, Moscow, 119899, Russia; Graduate Student, e-mail: piatskgeorge@mail.ru