A Comparative Study of Solvers and Preconditioners for an SPE CO<sub>2</sub> Storage Benchmark Reservoir Simulation Model
This study analyzes and evaluates the performance of various solvers and preconditioners for reservoir simulations of CO<sub>2</sub> injection and long-term storage using the model 11B of SPE CSP (Society of Petroleum Engineers, 11th Comparative Solution Project) and the MATLAB Reservoir...
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MDPI AG
2025-05-01
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| author | Cenk Temizel Gökhan Karcıoğlu Ali Behzadan Coşkun Çetin Yusuf Ziya Pamukçu |
| author_facet | Cenk Temizel Gökhan Karcıoğlu Ali Behzadan Coşkun Çetin Yusuf Ziya Pamukçu |
| author_sort | Cenk Temizel |
| collection | DOAJ |
| description | This study analyzes and evaluates the performance of various solvers and preconditioners for reservoir simulations of CO<sub>2</sub> injection and long-term storage using the model 11B of SPE CSP (Society of Petroleum Engineers, 11th Comparative Solution Project) and the MATLAB Reservoir Simulation Toolbox (MRST). The SPE CSP 11 model serves as a benchmark for testing numerical methods for solving partial differential equations (PDEs) in reservoir simulations. The research focuses on the Biconjugate Gradient Stabilized (BiCGSTAB) and Loose Generalized Minimum Residual (LGMRES) solver methods, as well as multiple preconditioning techniques designed to improve convergence rates and reduce computational effort for CO<sub>2</sub> storage. Extensive simulations were performed to compare the performance of different solver-preconditioner combinations under varying reservoir conditions, leveraging MRST’s flexible simulation capabilities. Key performance metrics, including iteration counts and computational time, were analyzed for the project. The results reveal trade-offs between computational efficiency and solution accuracy, providing valuable insights into the effectiveness of each approach. This study offers practical guidance for reservoir engineers and researchers seeking to analyze and optimize simulation workflows within MRST by identifying the strengths and limitations of specific solver-preconditioner combinations for complex linear systems. |
| format | Article |
| id | doaj-art-e040cc180158498ca2f3881e46df44c1 |
| institution | OA Journals |
| issn | 2076-3263 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Geosciences |
| spelling | doaj-art-e040cc180158498ca2f3881e46df44c12025-08-20T02:33:56ZengMDPI AGGeosciences2076-32632025-05-0115516910.3390/geosciences15050169A Comparative Study of Solvers and Preconditioners for an SPE CO<sub>2</sub> Storage Benchmark Reservoir Simulation ModelCenk Temizel0Gökhan Karcıoğlu1Ali Behzadan2Coşkun Çetin3Yusuf Ziya Pamukçu4Terra Pacific, 6900 Balcones Dr, Austin, TX 78731, USAGeophysical Engineering Department, Istanbul University-Cerrahpasa, 34500 Istanbul, TürkiyeDepartment of Mathematics and Statistics, California State University, Sacramento, CA 95819-6051, USADepartment of Mathematics and Statistics, California State University, Sacramento, CA 95819-6051, USADepartment of Petroleum and Natural Gas Engineering, Middle East Technical University, 06800 Ankara, TürkiyeThis study analyzes and evaluates the performance of various solvers and preconditioners for reservoir simulations of CO<sub>2</sub> injection and long-term storage using the model 11B of SPE CSP (Society of Petroleum Engineers, 11th Comparative Solution Project) and the MATLAB Reservoir Simulation Toolbox (MRST). The SPE CSP 11 model serves as a benchmark for testing numerical methods for solving partial differential equations (PDEs) in reservoir simulations. The research focuses on the Biconjugate Gradient Stabilized (BiCGSTAB) and Loose Generalized Minimum Residual (LGMRES) solver methods, as well as multiple preconditioning techniques designed to improve convergence rates and reduce computational effort for CO<sub>2</sub> storage. Extensive simulations were performed to compare the performance of different solver-preconditioner combinations under varying reservoir conditions, leveraging MRST’s flexible simulation capabilities. Key performance metrics, including iteration counts and computational time, were analyzed for the project. The results reveal trade-offs between computational efficiency and solution accuracy, providing valuable insights into the effectiveness of each approach. This study offers practical guidance for reservoir engineers and researchers seeking to analyze and optimize simulation workflows within MRST by identifying the strengths and limitations of specific solver-preconditioner combinations for complex linear systems.https://www.mdpi.com/2076-3263/15/5/169CO<sub>2</sub> injectionCO<sub>2</sub> storagelinear solversbiconjugate gradient stabilized methodloose generalized minimum residual methodMRST |
| spellingShingle | Cenk Temizel Gökhan Karcıoğlu Ali Behzadan Coşkun Çetin Yusuf Ziya Pamukçu A Comparative Study of Solvers and Preconditioners for an SPE CO<sub>2</sub> Storage Benchmark Reservoir Simulation Model Geosciences CO<sub>2</sub> injection CO<sub>2</sub> storage linear solvers biconjugate gradient stabilized method loose generalized minimum residual method MRST |
| title | A Comparative Study of Solvers and Preconditioners for an SPE CO<sub>2</sub> Storage Benchmark Reservoir Simulation Model |
| title_full | A Comparative Study of Solvers and Preconditioners for an SPE CO<sub>2</sub> Storage Benchmark Reservoir Simulation Model |
| title_fullStr | A Comparative Study of Solvers and Preconditioners for an SPE CO<sub>2</sub> Storage Benchmark Reservoir Simulation Model |
| title_full_unstemmed | A Comparative Study of Solvers and Preconditioners for an SPE CO<sub>2</sub> Storage Benchmark Reservoir Simulation Model |
| title_short | A Comparative Study of Solvers and Preconditioners for an SPE CO<sub>2</sub> Storage Benchmark Reservoir Simulation Model |
| title_sort | comparative study of solvers and preconditioners for an spe co sub 2 sub storage benchmark reservoir simulation model |
| topic | CO<sub>2</sub> injection CO<sub>2</sub> storage linear solvers biconjugate gradient stabilized method loose generalized minimum residual method MRST |
| url | https://www.mdpi.com/2076-3263/15/5/169 |
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