Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments
<p>Linear solvers for reservoir simulation applications are the objective of this review. Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set of governing Partial Differential Equations (PDEs) is properly discretized in time (usually by the Backward...
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| مؤلفون آخرون: | , |
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2022
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| _version_ | 1864513567211913216 |
|---|---|
| author | Stefano Nardean (14151900) |
| author2 | Massimiliano Ferronato (14151903) Ahmad Abushaikha (14151906) |
| author2_role | author author |
| author_facet | Stefano Nardean (14151900) Massimiliano Ferronato (14151903) Ahmad Abushaikha (14151906) |
| author_role | author |
| dc.creator.none.fl_str_mv | Stefano Nardean (14151900) Massimiliano Ferronato (14151903) Ahmad Abushaikha (14151906) |
| dc.date.none.fl_str_mv | 2022-04-11T06:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1007/s11831-022-09739-2 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Linear_Solvers_for_Reservoir_Simulation_Problems_An_Overview_and_Recent_Developments/21597636 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Engineering Resources engineering and extractive metallurgy Information and computing sciences Applied computing Mathematical sciences Applied mathematics Reservoir simulation Linear solvers Fully Implicit (FI) methods Partial Differential Equations Backward Euler scheme Krylov subspace solvers Preconditioners Solver convergence Oil and Gas Management Enhanced Oil Recovery Carbon Capture and Storage |
| dc.title.none.fl_str_mv | Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p>Linear solvers for reservoir simulation applications are the objective of this review. Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set of governing Partial Differential Equations (PDEs) is properly discretized in time (usually by the Backward Euler scheme), and space, and tackled by assembling and linearizing a single system of equations to solve all the model unknowns simultaneously. Due to the usually large size of these systems arising from real-world models, iterative methods, specifically Krylov subspace solvers, have become conventional choices; nonetheless, their success largely revolves around the quality of the preconditioner that is supplied to accelerate their convergence. These two intertwined elements, i.e., the solver and the preconditioner, are the focus of our analysis, especially the latter, which is still the subject of extensive research. The progressive increase in reservoir model size and complexity, along with the introduction of additional physics to the classical flow problem, display the limits of existing solvers. Intensive usage of computational and memory resources are frequent drawbacks in practice, resulting in unpleasantly slow convergence rates. Developing efficient, robust, and scalable preconditioners, often relying on physics-based assumptions, is the way to avoid potential bottlenecks in the solving phase. In this work, we proceed in reviewing principles and state-of-the-art of such linear solution tools to summarize and discuss the main advances and research directions for reservoir simulation problems. We compare the available preconditioning options, showing the connections existing among the different approaches, and try to develop a general algebraic framework.</p><h2>Other Information</h2> <p> Published in: Archives of Computational Methods in Engineering<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1007/s11831-022-09739-2" target="_blank">http://dx.doi.org/10.1007/s11831-022-09739-2</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_e6dd2394eb98386cfb7467878917eadc |
| identifier_str_mv | 10.1007/s11831-022-09739-2 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/21597636 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Linear Solvers for Reservoir Simulation Problems: An Overview and Recent DevelopmentsStefano Nardean (14151900)Massimiliano Ferronato (14151903)Ahmad Abushaikha (14151906)EngineeringResources engineering and extractive metallurgyInformation and computing sciencesApplied computingMathematical sciencesApplied mathematicsReservoir simulationLinear solversFully Implicit (FI) methodsPartial Differential EquationsBackward Euler schemeKrylov subspace solversPreconditionersSolver convergenceOil and Gas ManagementEnhanced Oil RecoveryCarbon Capture and Storage<p>Linear solvers for reservoir simulation applications are the objective of this review. Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set of governing Partial Differential Equations (PDEs) is properly discretized in time (usually by the Backward Euler scheme), and space, and tackled by assembling and linearizing a single system of equations to solve all the model unknowns simultaneously. Due to the usually large size of these systems arising from real-world models, iterative methods, specifically Krylov subspace solvers, have become conventional choices; nonetheless, their success largely revolves around the quality of the preconditioner that is supplied to accelerate their convergence. These two intertwined elements, i.e., the solver and the preconditioner, are the focus of our analysis, especially the latter, which is still the subject of extensive research. The progressive increase in reservoir model size and complexity, along with the introduction of additional physics to the classical flow problem, display the limits of existing solvers. Intensive usage of computational and memory resources are frequent drawbacks in practice, resulting in unpleasantly slow convergence rates. Developing efficient, robust, and scalable preconditioners, often relying on physics-based assumptions, is the way to avoid potential bottlenecks in the solving phase. In this work, we proceed in reviewing principles and state-of-the-art of such linear solution tools to summarize and discuss the main advances and research directions for reservoir simulation problems. We compare the available preconditioning options, showing the connections existing among the different approaches, and try to develop a general algebraic framework.</p><h2>Other Information</h2> <p> Published in: Archives of Computational Methods in Engineering<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1007/s11831-022-09739-2" target="_blank">http://dx.doi.org/10.1007/s11831-022-09739-2</a></p>2022-04-11T06:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1007/s11831-022-09739-2https://figshare.com/articles/journal_contribution/Linear_Solvers_for_Reservoir_Simulation_Problems_An_Overview_and_Recent_Developments/21597636CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/215976362022-04-11T06:00:00Z |
| spellingShingle | Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments Stefano Nardean (14151900) Engineering Resources engineering and extractive metallurgy Information and computing sciences Applied computing Mathematical sciences Applied mathematics Reservoir simulation Linear solvers Fully Implicit (FI) methods Partial Differential Equations Backward Euler scheme Krylov subspace solvers Preconditioners Solver convergence Oil and Gas Management Enhanced Oil Recovery Carbon Capture and Storage |
| status_str | publishedVersion |
| title | Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments |
| title_full | Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments |
| title_fullStr | Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments |
| title_full_unstemmed | Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments |
| title_short | Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments |
| title_sort | Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments |
| topic | Engineering Resources engineering and extractive metallurgy Information and computing sciences Applied computing Mathematical sciences Applied mathematics Reservoir simulation Linear solvers Fully Implicit (FI) methods Partial Differential Equations Backward Euler scheme Krylov subspace solvers Preconditioners Solver convergence Oil and Gas Management Enhanced Oil Recovery Carbon Capture and Storage |