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A numerical algorithm for single-phase fluid flow in elastic porous media. (English) Zbl 1018.74037
Chen, Zhangxin (ed.) et al., Numerical treatment of multiphase flows in porous media. Proceedings of the international workshop, Beijing, China, August 2-6, 1999. Berlin: Springer. Lect. Notes Phys. 552, 80-92 (2000).
Summary: We consider an integrated model for single-phase fluid flow in elastic porous media. The model and mathematical formulation consist of mass and momentum balance equations for both fluid and porous media. We propose a mixed finite element scheme to solve simultaneously for the porous media displacement, fluid mass flux, and pore pressure. A prototype simulator for solving the integrated problem uses a finite element object library that we have developed. We present numerical and sensitivity results for the solution algorithm.
For the entire collection see [Zbl 0986.00070].

74S05 Finite element methods applied to problems in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
86A05 Hydrology, hydrography, oceanography
76S05 Flows in porous media; filtration; seepage