Production optimization using derivative free methods applied to Brugge field case

Recently production optimization has achieved increasing attention in upstream petroleum industry. Here, we evaluate derivative free optimization methods for determination of the optimal production strategy using a numerical reservoir model which was prepared for a comparative study at the SPE Appli...

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Published in:	Journal of petroleum science & engineering Vol. 114; pp. 22 - 37
Main Authors:	Asadollahi, Masoud, Nævdal, Geir, Dadashpour, Mohsen, Kleppe, Jon
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier B.V 01.02.2014 Elsevier
Subjects:	Algorithms Applied sciences Crude oil Crude oil, natural gas and petroleum products Derivatives Energy Exact sciences and technology Fuels Generalized pattern search Hooke–Jeeves Line-search derivative-free Mathematical analysis Mathematical models Nelder–Mead Optimization Pattern search Performance ranking method Quadratic programming Sequential quadratic programming Waterflooding optimization STB HJ Performance ranking method Nelder–Mead SPE WCT BHP GPS SPSA TNO Sequential quadratic programming NPV GA QP Hooke–Jeeves USD Line-search derivative-free LSDF BOBYQA IOR PSO Generalized pattern search SQP Waterflooding optimization NM Nelder―Mead Hooke―jeeves Performance Generalized Optimization
ISSN:	0920-4105, 1873-4715
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Abstract	Recently production optimization has achieved increasing attention in upstream petroleum industry. Here, we evaluate derivative free optimization methods for determination of the optimal production strategy using a numerical reservoir model which was prepared for a comparative study at the SPE Applied Technology Workshop in Brugge, June 2008. The pattern search Hooke–Jeeves, the reflection simplex Nelder–Mead, a new line-search derivative-free and a generalized pattern search methods are applied to the optimization problem. The line-search derivative-free algorithm is developed based on the existing line-search derivative free algorithms in combination with the Hooke–Jeeves pattern search method. The derivative free optimization results are compared with a gradient based sequential quadratic programming algorithm, but we clearly identify some issues limiting the performance of gradient based algorithms. In real applications our optimization problem is facing very costly function evaluations and at the same time one might have limitations in the computational budget. Therefore we are interested in methods that can improve the objective function with few function evaluations. The line-search derivative-free method performs more efficient and better than the other optimization methods. Ranking among the other four methods is somewhat more difficult, except that the Nelder–Mead method clearly has the slowest performance among these methods. We also observed that optimization with sequential quadratic programming had a high risk of getting trapped in a local optimum, which could be explained by properties of the objective function. •Five optimization methods are evaluated on Brugge optimization problem.•Robustness of methods is evaluated using different initial solutions.•A new derivative free optimization method is developed.•A new method is introduced for evaluating the performance of methods.
AbstractList	Recently production optimization has achieved increasing attention in upstream petroleum industry. Here, we evaluate derivative free optimization methods for determination of the optimal production strategy using a numerical reservoir model which was prepared for a comparative study at the SPE Applied Technology Workshop in Brugge, June 2008. The pattern search Hooke-Jeeves, the reflection simplex Nelder-Mead, a new line-search derivative-free and a generalized pattern search methods are applied to the optimization problem. The line-search derivative-free algorithm is developed based on the existing line-search derivative free algorithms in combination with the Hooke-Jeeves pattern search method. The derivative free optimization results are compared with a gradient based sequential quadratic programming algorithm, but we clearly identify some issues limiting the performance of gradient based algorithms. In real applications our optimization problem is facing very costly function evaluations and at the same time one might have limitations in the computational budget. Therefore we are interested in methods that can improve the objective function with few function evaluations. The line-search derivative-free method performs more efficient and better than the other optimization methods. Ranking among the other four methods is somewhat more difficult, except that the Nelder-Mead method clearly has the slowest performance among these methods. We also observed that optimization with sequential quadratic programming had a high risk of getting trapped in a local optimum, which could be explained by properties of the objective function. Recently production optimization has achieved increasing attention in upstream petroleum industry. Here, we evaluate derivative free optimization methods for determination of the optimal production strategy using a numerical reservoir model which was prepared for a comparative study at the SPE Applied Technology Workshop in Brugge, June 2008. The pattern search Hooke–Jeeves, the reflection simplex Nelder–Mead, a new line-search derivative-free and a generalized pattern search methods are applied to the optimization problem. The line-search derivative-free algorithm is developed based on the existing line-search derivative free algorithms in combination with the Hooke–Jeeves pattern search method. The derivative free optimization results are compared with a gradient based sequential quadratic programming algorithm, but we clearly identify some issues limiting the performance of gradient based algorithms. In real applications our optimization problem is facing very costly function evaluations and at the same time one might have limitations in the computational budget. Therefore we are interested in methods that can improve the objective function with few function evaluations. The line-search derivative-free method performs more efficient and better than the other optimization methods. Ranking among the other four methods is somewhat more difficult, except that the Nelder–Mead method clearly has the slowest performance among these methods. We also observed that optimization with sequential quadratic programming had a high risk of getting trapped in a local optimum, which could be explained by properties of the objective function. •Five optimization methods are evaluated on Brugge optimization problem.•Robustness of methods is evaluated using different initial solutions.•A new derivative free optimization method is developed.•A new method is introduced for evaluating the performance of methods.
Author	Asadollahi, Masoud Kleppe, Jon Dadashpour, Mohsen Nævdal, Geir
Author_xml	– sequence: 1 givenname: Masoud surname: Asadollahi fullname: Asadollahi, Masoud email: MAASA@Statoil.com organization: International Research Institute of Stavanger (IRIS), IRIS, Thormøhlensgate 55, N-5008 Bergen, Norway – sequence: 2 givenname: Geir surname: Nævdal fullname: Nævdal, Geir email: Geir.Naevdal@iris.no organization: International Research Institute of Stavanger (IRIS), IRIS, Thormøhlensgate 55, N-5008 Bergen, Norway – sequence: 3 givenname: Mohsen surname: Dadashpour fullname: Dadashpour, Mohsen email: MDAD@Statoil.com organization: Statoil, Strandveien 4, 7500 Stjørdal, Norway – sequence: 4 givenname: Jon surname: Kleppe fullname: Kleppe, Jon email: Jon.Kleppe@ntnu.no organization: Norwegian University of Science and Technology (NTNU), IPT, S. P. Andersensveg 15A, 7031 Trondheim, Norway
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Snippet	Recently production optimization has achieved increasing attention in upstream petroleum industry. Here, we evaluate derivative free optimization methods for...
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SubjectTerms	Algorithms Applied sciences Crude oil Crude oil, natural gas and petroleum products Derivatives Energy Exact sciences and technology Fuels Generalized pattern search Hooke–Jeeves Line-search derivative-free Mathematical analysis Mathematical models Nelder–Mead Optimization Pattern search Performance ranking method Quadratic programming Sequential quadratic programming Waterflooding optimization
Title	Production optimization using derivative free methods applied to Brugge field case
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