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Data-driven surrogate models that assist with efficient evolutionary algorithms to find the optimal development scheme have been widely used to solve reservoir production optimization problems. However, existing research suggests that the effectiveness of a surrogate model can vary depending on the complexity of the design problem. A surrogate model that has demonstrated success in one scenario may not perform as well in others. In the absence of prior knowledge, finding a promising surrogate model that performs well for an unknown reservoir is challenging. Moreover, the optimization process often relies on a single evolutionary algorithm, which can yield varying results across different cases. To address these limitations, this paper introduces a novel approach called the multi-surrogate framework with an adaptive selection mechanism (MSFASM) to tackle production optimization problems. MSFASM consists of two stages. In the first stage, a reduced-dimensional broad learning system (BLS) is used to adaptively select the evolutionary algorithm with the best performance during the current optimization period. In the second stage, the multi-objective algorithm, non-dominated sorting genetic algorithm II (NSGA-II), is used as an optimizer to find a set of Pareto solutions with good performance on multiple surrogate models. A novel optimal point criterion is utilized in this stage to select the Pareto solutions, thereby obtaining the desired development schemes without increasing the computational load of the numerical simulator. The two stages are combined using sequential transfer learning. From the two most important perspectives of an evolutionary algorithm and a surrogate model, the proposed method improves adaptability to optimization problems of various reservoir types. To verify the effectiveness of the proposed method, four 100-dimensional benchmark functions and two reservoir models are tested, and the results are compared with those obtained by six other surrogate-model-based methods. The results demonstrate that our approach can obtain the maximum net present value (NPV) of the target production optimization problems.
Al-Aghbari, M., Gujarathi, A.M., 2022. Hybrid optimization approach using evolutionary neural network & genetic algorithm in a real-world waterflood development. J. Petrol. Sci. Eng. 216, 110813. https://doi.org/10.1016/j.petrol.2022.110813.
An, Z., Zhou, K., Hou, J., et al., 2022. Accelerating reservoir production optimization by combining reservoir engineering method with particle swarm optimization algorithm. J. Petrol. Sci. Eng. 208, 109692. https://doi.org/10.1016/j.petrol.2021.109692.
Chen, B., Fonseca, R.-M., Leeuwenburgh, O., et al., 2017. Minimizing the risk in the robust life-cycle production optimization using stochastic simplex approximate gradient. J. Petrol. Sci. Eng. 153, 331–344. https://doi.org/10.1016/j.petrol.2017.04.001.
Chen, B., Xu, J., 2019. Stochastic simplex approximate gradient for robust life-cycle production optimization: applied to brugge field. J. Energy Resour. Technol. 141 (9). https://doi.org/10.1115/1.4043244.
Chen, C.L.P., Liu, Z., 2018. Broad learning system: an effective and efficient incremental learning system without the need for deep architecture. IEEE Transact. Neural Networks Learn. Syst. 29 (1), 10–24. https://doi.org/10.1109/TNNLS.2017.2716952.
Chen, G., Zhang, K., Xue, X., et al., 2020. Surrogate-assisted evolutionary algorithm with dimensionality reduction method for water flooding production optimization. J. Petrol. Sci. Eng. 185, 106633. https://doi.org/10.1016/j.petrol.2019.106633.
Chen, G., Zhang, K., Zhang, L., et al., 2020. Global and local surrogate-model-assisted differential evolution for waterflooding production optimization. SPE J. 25 (1), 105–118. https://doi.org/10.2118/199357-PA.
Das, S., Suganthan, P.N., 2010. Differential evolution: a survey of the state-of-the-art. IEEE Trans. Evol. Comput. 15 (1), 4–31. https://doi.org/10.1109/TEVC.2010.2059031.
Dong, H., Wang, P., Chen, W., et al., 2021. SGOP: surrogate-assisted global optimization using a Pareto-based sampling strategy. Appl. Soft Comput. 106, 107380. https://doi.org/10.1016/j.asoc.2021.107380.
Farahi, M.M.M., Ahmadi, M., Dabir, B., 2021. Model-based water-flooding optimization using multi-objective approach for efficient reservoir management. J. Petrol. Sci. Eng. 196, 107988. https://doi.org/10.1016/j.petrol.2020.107988.
Forouzanfar, F., Rossa, E.D., Russo, R., et al., 2013. Life-cycle production optimization of an oil field with an adjoint-based gradient approach. J. Petrol. Sci. Eng. 112, 351–358. https://doi.org/10.1016/j.petrol.2013.11.024.
Foss, B., Jenson, J.P., 2011. Performance analysis for closed-loop reservoir management. SPE J. 16 (1), 183–190. https://doi.org/10.2118/138891-PA.
Gao, G., Zafari, M., Reynolds, A.C., 2006. Quantifying uncertainty for the PUNQ-S3 problem in a bayesian setting with RML and EnKF. SPE J. 11 (4), 506–515. https://doi.org/10.2118/93324-MS.
Gu, J., Liu, W., Zhang, K., et al., 2021. Reservoir production optimization based on surrograte model and differential evolution algorithm. J. Petrol. Sci. Eng. 205, 108879. https://doi.org/10.1016/j.petrol.2021.108879.
Güyagüler, B., Horne, R.N., Rogers, L., et al., 2002. Optimization of well placement in a Gulf of Mexico waterflooding project. SPE Reservoir Eval. Eng. 5 (3), 229–236. https://doi.org/10.2118/78266-PA.
Hou, J., Zhou, K., Zhang, X.-S., et al., 2015. A review of closed-loop reservoir management. Petrol. Sci. 12 (1), 114–128. https://doi.org/10.1007/s12182-014-0005-6.
Isebor, O.J., Durlofsky, L.J., 2014. Biobjective optimization for general oil field development. J. Petrol. Sci. Eng. 119, 123–138. https://doi.org/10.1016/j.petrol.2014.04.021.
Jamil, M., Yang, X.-S., 2013. A literature survey of benchmark functions for global optimisation problems. Int. J. Math. Model. Numer. Optim. 4 (2), 150–194. https://doi.org/10.1504/IJMMNO.2013.055204.
Jin, Y., Wang, H., Chugh, T., et al., 2019. Data-driven evolutionary optimization: an overview and case studies. IEEE Trans. Evol. Comput. 23 (3), 442–458. https://doi.org/10.1109/TEVC.2018.2869001.
Jones, D.R., Perttunen, C.D., Stuckman, B.E., 1993. Lipschitzian optimization without the Lipschitz constant. J. Optim. Theor. Appl. 79 (1), 157–181. https://doi.org/10.1007/BF00941892.
Li, F., Li, Y., Cai, X., et al., 2022. A surrogate-assisted hybrid swarm optimization algorithm for high-dimensional computationally expensive problems. Swarm Evol. Comput. 72, 101096. https://doi.org/10.1016/j.swevo.2022.101096.
Luo, C., Zhang, S.-L., Wang, C., et al., 2011. A metamodel-assisted evolutionary algorithm for expensive optimization. J. Comput. Appl. Math. 236 (5), 759–764. https://doi.org/10.1016/j.cam.2011.05.047.
Ma, X., Zhang, K., Zhang, J., et al., 2022. A novel hybrid recurrent convolutional network for surrogate modeling of history matching and uncertainty quantification. J. Petrol. Sci. Eng. 210, 110109. https://doi.org/10.1016/j.petrol.2022.110109.
Ma, X., Zhang, K., Zhao, H., et al., 2022. A vector-to-sequence based multilayer recurrent network surrogate model for history matching of large-scale reservoir. J. Petrol. Sci. Eng. 214, 110548. https://doi.org/10.1016/j.petrol.2022.110548.
Mirjalili, S., Mirjalili, S.M., Lewis, A., 2014. Grey wolf optimizer. Adv. Eng. Software 69, 46–61. https://doi.org/10.1016/j.advengsoft.2013.12.007.
Mirzaei-Paiaman, A., Santos, S.M.G., Schiozer, D.J., 2021. A review on closed-loop field development and management. J. Petrol. Sci. Eng. 201, 108457. https://doi.org/10.1016/j.petrol.2021.108457.
Ostertagová, E., 2012. Modelling using polynomial regression. Procedia Eng. 48, 500–506. https://doi.org/10.1016/j.proeng.2012.09.545.
Sammon, J.W., 1969. A nonlinear mapping for data structure analysis. IEEE Trans. Comput. 100 (5), 401–409. https://doi.org/10.1109/T-C.1969.222678.
Viana, F.A., 2016. A tutorial on Latin hypercube design of experiments. Qual. Reliab. Eng. Int. 32 (5), 1975–1985. https://doi.org/10.1002/qre.1924.
Volkov, O., Bellout, M.C., 2017. Gradient-based production optimization with simulation-based economic constraints. Comput. Geosci. 21 (5), 1385–1402. https://doi.org/10.1007/s10596-017-9634-3.
Wang, Z., He, J., Milliken, W.J., et al., 2021. Fast history matching and optimization using a novel physics-based data-driven model: an application to a diatomite reservoir. SPE J. 26 (6), 4089–4108. https://doi.org/10.2118/200772-PA.
Whitley, D., 1994. A genetic algorithm tutorial. Stat. Comput. 4 (2), 65–85. https://doi.org/10.1007/BF00175354.
Xue, X., Chen, G., Zhang, K., et al., 2022. A divide-and-conquer optimization paradigm for waterflooding production optimization. J. Petrol. Sci. Eng. 211, 110050. https://doi.org/10.1016/j.petrol.2021.110050.
Yu, H., Tan, Y., Zeng, J., et al., 2018. Surrogate-assisted hierarchical particle swarm optimization. Inf. Sci. 454, 59–72. https://doi.org/10.1016/j.ins.2018.04.062.
Zerpa, L.E., Queipo, N.V., Pintos, S., et al., 2005. An optimization methodology of alkaline–surfactant–polymer flooding processes using field scale numerical simulation and multiple surrogates. J. Petrol. Sci. Eng. 47 (3), 197–208. https://doi.org/10.1016/j.petrol.2005.03.002.
Zhang, K., Zhang, L-m, Yao, J., et al., 2014. Water flooding optimization with adjoint model under control constraints. Journal of Hydrodynamics, Ser B. 26 (1), 75–85. https://doi.org/10.1016/S1001-6058(14)60009-3.
Zhao, H., Kang, Z., Zhang, X., et al., 2016. A physics-based data-driven numerical model for reservoir history matching and prediction with a field application. SPE J. 21 (6), 2175–2194. https://doi.org/10.2118/173213-PA.
Zhao, M., Zhang, K., Chen, G., et al., 2020. A surrogate-assisted multi-objective evolutionary algorithm with dimension-reduction for production optimization. J. Petrol. Sci. Eng. 192, 107192. https://doi.org/10.1016/j.petrol.2020.107192.
Zhao, M., Zhang, K., Chen, G., et al., 2020. A classification-based surrogate-assisted multiobjective evolutionary algorithm for production optimization under geological uncertainty. SPE J. 25 (5), 2450–2469. https://doi.org/10.2118/201229-PA.
Zhao, X., Zhang, K., Chen, G., et al., 2020. Surrogate-assisted differential evolution for production optimization with nonlinear state constraints. J. Petrol. Sci. Eng. 194, 107441. https://doi.org/10.1016/j.petrol.2020.107441.
Zhong, C., Zhang, K., Xue, X., et al., 2022. Surrogate-reformulation-assisted multitasking knowledge transfer for production optimization. J. Petrol. Sci. Eng. 208, 109486. https://doi.org/10.1016/j.petrol.2021.109486.
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