Model reduction for coupled near-well and reservoir models using multiple space-time discretizations
In reservoir simulations, fine fully-resolved grids deliver accurate model representations, but lead to large systems of nonlinear equations to solve every time step. Numerous techniques are applied in porous media flow simulations to reduce the computational effort associated with solving the under...
| Main Authors: | , , , |
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| Format: | Book Chapter |
| Published: |
Springer
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/58434 |
| _version_ | 1848760258780987392 |
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| author | Kheriji, W. Efendiev, Y. Calo, Victor Gildin, E. |
| author_facet | Kheriji, W. Efendiev, Y. Calo, Victor Gildin, E. |
| author_sort | Kheriji, W. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In reservoir simulations, fine fully-resolved grids deliver accurate model representations, but lead to large systems of nonlinear equations to solve every time step. Numerous techniques are applied in porous media flow simulations to reduce the computational effort associated with solving the underlying coupled nonlinear partial differential equations. Many models treat the reservoir as a whole. In other cases, the near-well accuracy is important as it controls the production rate. Near-well modeling requires finer space and time resolution compared with the remaining of the reservoir domain. To address these needs, we combine Model Order Reduction (MOR) with local grid refinement and local time stepping for reservoir simulations in highly heterogeneous porous media. We present a domain decomposition algorithm for a gas flow model in porous media coupling near-well regions, which are locally well-resolved in space and time with a coarser reservoir discretization. We use a full resolution for the near-well regions and apply MOR in the remainder of the domain. We illustrate our findings with numerical results on a gas flow model through porous media in a heterogeneous reservoir. |
| first_indexed | 2025-11-14T10:12:55Z |
| format | Book Chapter |
| id | curtin-20.500.11937-58434 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:12:55Z |
| publishDate | 2017 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-584342018-02-13T02:24:05Z Model reduction for coupled near-well and reservoir models using multiple space-time discretizations Kheriji, W. Efendiev, Y. Calo, Victor Gildin, E. In reservoir simulations, fine fully-resolved grids deliver accurate model representations, but lead to large systems of nonlinear equations to solve every time step. Numerous techniques are applied in porous media flow simulations to reduce the computational effort associated with solving the underlying coupled nonlinear partial differential equations. Many models treat the reservoir as a whole. In other cases, the near-well accuracy is important as it controls the production rate. Near-well modeling requires finer space and time resolution compared with the remaining of the reservoir domain. To address these needs, we combine Model Order Reduction (MOR) with local grid refinement and local time stepping for reservoir simulations in highly heterogeneous porous media. We present a domain decomposition algorithm for a gas flow model in porous media coupling near-well regions, which are locally well-resolved in space and time with a coarser reservoir discretization. We use a full resolution for the near-well regions and apply MOR in the remainder of the domain. We illustrate our findings with numerical results on a gas flow model through porous media in a heterogeneous reservoir. 2017 Book Chapter http://hdl.handle.net/20.500.11937/58434 10.1007/978-3-319-58786-8_29 Springer restricted |
| spellingShingle | Kheriji, W. Efendiev, Y. Calo, Victor Gildin, E. Model reduction for coupled near-well and reservoir models using multiple space-time discretizations |
| title | Model reduction for coupled near-well and reservoir models using multiple space-time discretizations |
| title_full | Model reduction for coupled near-well and reservoir models using multiple space-time discretizations |
| title_fullStr | Model reduction for coupled near-well and reservoir models using multiple space-time discretizations |
| title_full_unstemmed | Model reduction for coupled near-well and reservoir models using multiple space-time discretizations |
| title_short | Model reduction for coupled near-well and reservoir models using multiple space-time discretizations |
| title_sort | model reduction for coupled near-well and reservoir models using multiple space-time discretizations |
| url | http://hdl.handle.net/20.500.11937/58434 |