Optimal Control of Polymer Flooding Based on Maximum Principle
Polymer flooding is one of the most important technologies for enhanced oil recovery (EOR). In this paper, an optimal control model of distributed parameter systems (DPSs) for polymer injection strategies is established, which involves the performance index as maximum of the profit, the governing eq...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/987975 |
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| _version_ | 1832552009070280704 |
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| author | Yang Lei Shurong Li Xiaodong Zhang Qiang Zhang Lanlei Guo |
| author_facet | Yang Lei Shurong Li Xiaodong Zhang Qiang Zhang Lanlei Guo |
| author_sort | Yang Lei |
| collection | DOAJ |
| description | Polymer flooding is one of the most important technologies for enhanced oil recovery (EOR). In this paper, an optimal control model of distributed parameter systems (DPSs) for polymer injection strategies is established, which involves the performance index as maximum of the profit, the governing equations as the fluid flow equations of polymer flooding, and the inequality constraint as the polymer concentration limitation. To cope with the optimal control problem (OCP) of this DPS, the necessary conditions for optimality are obtained through application of the calculus of variations and Pontryagin’s weak maximum principle. A gradient method is proposed for the computation of optimal injection strategies. The numerical results of an example illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-4a968fe11b9d4798bad62a62cff003d2 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4a968fe11b9d4798bad62a62cff003d22025-02-03T05:59:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/987975987975Optimal Control of Polymer Flooding Based on Maximum PrincipleYang Lei0Shurong Li1Xiaodong Zhang2Qiang Zhang3Lanlei Guo4College of Information and Control Engineering, China University of Petroleum, Qingdao, 266580, ChinaCollege of Information and Control Engineering, China University of Petroleum, Qingdao, 266580, ChinaCollege of Information and Control Engineering, China University of Petroleum, Qingdao, 266580, ChinaCollege of Information and Control Engineering, China University of Petroleum, Qingdao, 266580, ChinaResearch Institute of Geological Science, Sinopec Shengli Oilfield Company, Dongying 257000, ChinaPolymer flooding is one of the most important technologies for enhanced oil recovery (EOR). In this paper, an optimal control model of distributed parameter systems (DPSs) for polymer injection strategies is established, which involves the performance index as maximum of the profit, the governing equations as the fluid flow equations of polymer flooding, and the inequality constraint as the polymer concentration limitation. To cope with the optimal control problem (OCP) of this DPS, the necessary conditions for optimality are obtained through application of the calculus of variations and Pontryagin’s weak maximum principle. A gradient method is proposed for the computation of optimal injection strategies. The numerical results of an example illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2012/987975 |
| spellingShingle | Yang Lei Shurong Li Xiaodong Zhang Qiang Zhang Lanlei Guo Optimal Control of Polymer Flooding Based on Maximum Principle Journal of Applied Mathematics |
| title | Optimal Control of Polymer Flooding Based on Maximum Principle |
| title_full | Optimal Control of Polymer Flooding Based on Maximum Principle |
| title_fullStr | Optimal Control of Polymer Flooding Based on Maximum Principle |
| title_full_unstemmed | Optimal Control of Polymer Flooding Based on Maximum Principle |
| title_short | Optimal Control of Polymer Flooding Based on Maximum Principle |
| title_sort | optimal control of polymer flooding based on maximum principle |
| url | http://dx.doi.org/10.1155/2012/987975 |
| work_keys_str_mv | AT yanglei optimalcontrolofpolymerfloodingbasedonmaximumprinciple AT shurongli optimalcontrolofpolymerfloodingbasedonmaximumprinciple AT xiaodongzhang optimalcontrolofpolymerfloodingbasedonmaximumprinciple AT qiangzhang optimalcontrolofpolymerfloodingbasedonmaximumprinciple AT lanleiguo optimalcontrolofpolymerfloodingbasedonmaximumprinciple |