A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces
| Autor: | Prosper Torsu, Victor Ginting, Bradley McCaskill, Quanling Deng |
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| Rok vydání: | 2017 |
| Předmět: |
Numerical Analysis
Mathematical optimization Physics and Astronomy (miscellaneous) Discretization Applied Mathematics Poromechanics Multiphase flow 010103 numerical & computational mathematics Mechanics Numerical diffusion Conservative vector field 01 natural sciences Finite element method Computer Science Applications 010101 applied mathematics Computational Mathematics Modeling and Simulation Two-phase flow 0101 mathematics Algebraic number Mathematics |
| Zdroj: | Journal of Computational Physics. 347:78-98 |
| ISSN: | 0021-9991 |
| Popis: | We study the application of a stabilized continuous Galerkin finite element method (CGFEM) in the simulation of multiphase flow in poroelastic subsurfaces. The system involves a nonlinear coupling between the fluid pressure, subsurface's deformation, and the fluid phase saturation, and as such, we represent this coupling through an iterative procedure. Spatial discretization of the poroelastic system employs the standard linear finite element in combination with a numerical diffusion term to maintain stability of the algebraic system. Furthermore, direct calculation of the normal velocities from pressure and deformation does not entail a locally conservative field. To alleviate this drawback, we propose an element based post-processing technique through which local conservation can be established. The performance of the method is validated through several examples illustrating the convergence of the method, the effectivity of the stabilization term, and the ability to achieve locally conservative normal velocities. Finally, the efficacy of the method is demonstrated through simulations of realistic multiphase flow in poroelastic subsurfaces. |
| Databáze: | OpenAIRE |
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