DOI: https://doi.org/10.26089/NumMet.v18r320

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

Authors

  • K.Yu. Bogachev
  • E.V. Piskovskiy
  • G.G. Piatsky

Keywords:

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

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.

New computational technologies

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Published

2017-06-19

Issue

Vol. 18 (2017): Issue 3.

Section

Section 1. Numerical methods and applications

Author Biographies

K.Yu. Bogachev

Lomonosov Moscow State University,
Faculty of Mechanics and Mathematics
• Associate Professor

E.V. Piskovskiy

«Rock Flow Dynamics»
• Chief Specialist, Graduate Student

G.G. Piatsky

Lomonosov Moscow State University,
Faculty of Mechanics and Mathematics
• PhD Student

References

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