A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces
© 2017 Elsevier Inc. 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 sat...
| Main Authors: | , , , |
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| Format: | Journal Article |
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Academic Press
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/65438 |
| _version_ | 1848761132101140480 |
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| author | Deng, Quanling Ginting, V. McCaskill, B. Torsu, P. |
| author_facet | Deng, Quanling Ginting, V. McCaskill, B. Torsu, P. |
| author_sort | Deng, Quanling |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2017 Elsevier Inc. 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. |
| first_indexed | 2025-11-14T10:26:48Z |
| format | Journal Article |
| id | curtin-20.500.11937-65438 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:26:48Z |
| publishDate | 2017 |
| publisher | Academic Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-654382018-02-19T08:06:06Z A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces Deng, Quanling Ginting, V. McCaskill, B. Torsu, P. © 2017 Elsevier Inc. 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. 2017 Journal Article http://hdl.handle.net/20.500.11937/65438 10.1016/j.jcp.2017.06.024 Academic Press restricted |
| spellingShingle | Deng, Quanling Ginting, V. McCaskill, B. Torsu, P. A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces |
| title | A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces |
| title_full | A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces |
| title_fullStr | A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces |
| title_full_unstemmed | A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces |
| title_short | A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces |
| title_sort | locally conservative stabilized continuous galerkin finite element method for two-phase flow in poroelastic subsurfaces |
| url | http://hdl.handle.net/20.500.11937/65438 |