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Numerical solution for subsurface reservoir simulation
Transport problems in porous media constitute an important field of scientific research in modern world, due to their broad applications in area such as petroleum engineering, water resources, pollutants transport and green- house gases sequestration to just mention few. The mathematical models that...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2017
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| _version_ | 1867613263673425920 |
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| access_status_str | Open Access |
| author | Etekpo, Kossi |
| author2 | Tambue, Antoine |
| author_browse | Etekpo, Kossi Tambue, Antoine |
| author_facet | Tambue, Antoine Etekpo, Kossi |
| author_sort | Etekpo, Kossi |
| collection | Thesis |
| description | Transport problems in porous media constitute an important field of scientific research in modern world, due to their broad applications in area such as petroleum engineering, water resources, pollutants transport and green- house gases sequestration to just mention few. The mathematical models that describe such problems have been developed and form one of the main classes of partial differential equations (PDEs) that scientists encounter in the real-world modeling. Nevertheless, in most of the cases, the exact solutions in the classical sense of those models are not available. The study of numerical approximation of PDEs is therefore an active research area and there is an extensive literature on numerical methods for PDEs. In this work, we review some numerical techniques, more precisely we present finite volume method with two-point flux approximation and mixed finite volume method for spatial discretization of elliptic and parabolic PDEs modeling transport flow in porous media. We then present some standard explicit and implicit methods, Rosenbrock schemes and exponential time stepping schemes for temporal discretization. We finally run some numerical simulations of advection-diffusion-reaction problems in a heterogeneous and an anisotropic porous media. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/25007 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:21.255Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2017 |
| publishDateRange | 2017 |
| publishDateSort | 2017 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/25007 Numerical solution for subsurface reservoir simulation Etekpo, Kossi Tambue, Antoine Reddy, Daya Mathematics Transport problems in porous media constitute an important field of scientific research in modern world, due to their broad applications in area such as petroleum engineering, water resources, pollutants transport and green- house gases sequestration to just mention few. The mathematical models that describe such problems have been developed and form one of the main classes of partial differential equations (PDEs) that scientists encounter in the real-world modeling. Nevertheless, in most of the cases, the exact solutions in the classical sense of those models are not available. The study of numerical approximation of PDEs is therefore an active research area and there is an extensive literature on numerical methods for PDEs. In this work, we review some numerical techniques, more precisely we present finite volume method with two-point flux approximation and mixed finite volume method for spatial discretization of elliptic and parabolic PDEs modeling transport flow in porous media. We then present some standard explicit and implicit methods, Rosenbrock schemes and exponential time stepping schemes for temporal discretization. We finally run some numerical simulations of advection-diffusion-reaction problems in a heterogeneous and an anisotropic porous media. 2017-09-01T14:09:56Z 2017-09-01T14:09:56Z 2017 Master Thesis Masters MSc http://hdl.handle.net/11427/25007 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics Etekpo, Kossi Numerical solution for subsurface reservoir simulation |
| thesis_degree_str | Master's |
| title | Numerical solution for subsurface reservoir simulation |
| title_full | Numerical solution for subsurface reservoir simulation |
| title_fullStr | Numerical solution for subsurface reservoir simulation |
| title_full_unstemmed | Numerical solution for subsurface reservoir simulation |
| title_short | Numerical solution for subsurface reservoir simulation |
| title_sort | numerical solution for subsurface reservoir simulation |
| topic | Mathematics |
| url | http://hdl.handle.net/11427/25007 |
| work_keys_str_mv | AT etekpokossi numericalsolutionforsubsurfacereservoirsimulation |