Closed-loop reservoir management on the Brugge test case

Computational Geosciences

Volumn 14, Issue 4, 2010, Pages 691-703

  Chen, Chaohui ^a   Wang, Yudou ^b   Li, Gaoming ^a   Reynolds, Albert C ^a  

^a UNIVERSITY OF TULSA   (United States)

^b CHINA UNIVERSITY OF PETROLEUM   (China)

Author keywords

Augmented Lagrangian; Closed loop reservoir management; Covariance localization; Ensemble Kalman filter; Optimal control

Indexed keywords

BENCHMARKING; COVARIANCE ANALYSIS; DATA ASSIMILATION; ENSEMBLE FORECASTING; HYDROCARBON RESERVOIR; KALMAN FILTER; LAGRANGIAN ANALYSIS; MODELING;

NUCLEOPOLYHEDROVIRUS;

EID: 77955925036     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-010-9181-7     Document Type: Article

References (35)

1. Aanonsen, S., Naevdal, G., Oliver, D., Reynolds, A., Vallès, B.: The ensemble Kalman filter in reservoir engineering-a review. SPE J. 14(3), 393-412, SPE-117274-PA (2009).
2. Alhuthali, A., Oyerinde, D., Datta-Gupta, A.: Optimal waterflood management using rate control, SPE 102478-MS. In: Proceedings of the 2006 SPE Annual Technical Conference and Exhibition (2006).
3. Asheim, H.: Maximization of water sweep efficiency by controlling production and injection rates, SPE 18365-MS. In: Proceedings of the 1998 SPE European Petroleum Conference (1988).
4. Brouwer, D., Jansen, J.: Dynamic optimization of water flooding with smart wells using optimal control theory. SPE J. 9(4), 391-402 (2004).
5. Brouwer, D., Naevdal, G., Jansen, J., Vefring, E., Kruijsdijk, C.: Improved reservoir management through optimal control and continuous model updating, SPE 90149-MS. In: Proceedings of the 2004 SPE Annual Technical Conference and Exhibition (2004).
6. Chen, Y., Oliver, D., Zhang, D.: Efficient ensemble-based closed-loop production optimization. SPE J. 14(4), 634-645, SPE-112873-PA (2009).
7. Chen, Y., Oliver, D.: Ensemble-based closed-loop optimization on Brugge field, SPE 118926-MS. In: SPE Reservoir Simulation Symposium, 2-4 February 2009.
8. Zhu, C., Byrd, R. H., Nocedal, J.: L-BFGS-B: Algorithm 778: L-BFGS-B, FORTRAN routines for large scale bound constrained optimization. ACM Trans. Math. Softw. 23(4), 550-560 (1997).
9. Conn, A., Gould, N., Toint, P.: LANCELOT: a Fortran Package for Large-scale Nonlinear Optimization (Release A). Springer, New York (1992).
10. de Montleau, P., Cominelli, A., Neylon, D. R. K., Pallister, I., Tesaker, O., Nygard, I.: Production optimization under constraints using adjoint gradients. In: Proceedings of the 10th European Conference on the Mathematical Oil Recovery-Amsterdam, 4-7 September (2006).
11. Doublet, D. C., Martinsen, R., Aanonsen, S. I., Tai, X. C.: Efficient optimization of production from smart wells based on the augmented Lagrangian method. In: Proceedings of the 10th European Conference on the Mathematical Oil Recovery-Amsterdam, 4-7 September (2006).
12. Evensen, G.: Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics. J. Geophys. Res. 99, 10, 143-10, 162 (1994).
13. Evensen, G.: Data Assimilation: the Ensemble Kalman Filter. Springer, Berlin (2007).
14. Furrer, R., Bengtsson, T.: Estimation of high-dimensional prior and posterior covariance matrices in Kalman filter variants. Multivar. J. Anal. 98(2), 227-255 (2007).
15. Gaspari, G., Cohn, S. E.: Construction of correlation functions in two and three dimensions. Q. J. R. Meteorol. Soc. 125(554), 723-757 (1999).
16. Horn, R. A., Johnson, C. R.: Matrix Analysis. Cambridge University Press, Cambridge (1985).
17. Houtekamer, P. L., Mitchell, H. L.: A sequential ensemble Kalman filter for atmospheric data assimilation. Mon. Weather Rev. 129(1), 123-137 (2001).
18. Jansen, J., Brouwer, D., Naevdal, G., van Kruijsdijk, C.: Closed-loop reservoir management. First Break 23, 43-48 (2005).
19. Jansen, J., Douma, S., Brouwer, D., den Hof, P. V., Heemink, A.: Closed-loop reservoir management, SPE 119098-MS. In: SPE Reservoir Simulation Symposium, 2-4 February (2009).
20. Kraaijevanger, J. F. B. M., Egberts, P. J. P., Valstar, J. R., Buurman, H. W.: Optimal waterflood design using the adjoint method, SPE 105764-MS. In: SPE Reservoir Simulation Symposium (2007).
21. Lorentzen, R. J., Berg, A. M., Naevdal, G., Vefring, E. H.: A new approach for dynamic optimization of waterflooding problems, SPE 99690-MS. In: Proceedings of the 2006 SPE Intelligent Energy Conference and Exhibition (2006).
22. Mitchell, H. L., Houtekamer, P. L., Pellerin, G.: Ensemble size, balance, and model-error representation in an ensemble Kalman filter. Mon. Weather Rev. 130(11), 2791-2808-433 (2002).
23. Naevdal, G., Johnsen, L. M., Aanonsen, S. I., Vefring, E. H.: Reservoir monitoring and continuous model updating using ensemble Kalman filter. SPE J. 10(1), 66-74, SPE-84372-PA (2005).
24. Nocedal, J., Wright, S. J.: Numerical Optimization. Springer, New York (1999).
25. Nwaozo, J.: Dynamic Optimization of a Water Flood Reservoir. Master's thesis, University of Oklahoma, Norman, Oklahoma (2006).
26. Peters, E., Arts, R., Brouwer, G., Geel, C.: Results of the Brugge benchmark study for flooding optimisation and history matching, SPE 119094-MS. In: SPE Reservoir Simulation Symposium, 2-4 February (2009).
27. Byrd, R. H., Lu, P., Nocedal, J.: A limited memory algorithm for bound constrained optimization. SIAM J. Sci. Statist. Comput. 16(5), 1190-1208 (1995).
28. Sarma, P., Durlofsky, L., Aziz, K.: Implementation of adjoint solution for optimal control of smart wells, SPE 92864-MS. In: Proceedings of the SPE Reservoir Simulation Symposium (2005).
29. Sarma, P., Chen, W., Durlofsky, L., Aziz, K.: Production optimization with adjoint models under nonlinear control-state path inequality constraints. SPE J. 11(2), 326-339, SPE-99959-PA (2008).
30. Sarma, P., Durlofsky, L., Aziz, K., Chen, W.: Efficient real-time reservoir management using adjoint-based optimal control and model updating. Comput. Geosci. 10, 3-36 (2006).
31. Thulin, K., Li, G., Aanonsen, S. I., Reynolds, A. C.: Estimation of initial fluid contacts by assimilation of production data with EnKF. In: Proceedings of the 2007 SPE Annual Technical Conference and Exhibition (2007).
32. van Essen, G. M., Zandvliet, M., van Den Hof, P., Bosgra, O., Jansen, J.: Robust waterflooding optimization of multiple geological scenarios. SPE J. 14(1), 202-210, SPE-102913-PA (2009).
33. Wang, C., Li, G., Reynolds, A. C.: Production optimization in closed-loop reservoir management. SPE J. 14(3), 506-523, SPE-109805-PA (2009).
34. Zakirov, I. S., Aanonsen, S. I., Zakirov, E. S., Palatnik, B. M.: Optimizing reservoir performance by automatic allocation of well rates. In: Proceedings of the 5th European Conference on the Mathematical Oil Recovery-Leoben, Austria, 3-5 September (1996).
35. Zhao, Y., Li, G., Reynolds, A. C.: Characterizing measurement error in time-lapse seismic data and production data with an EM algorithm. Oil Gas Sci. Technol. 62(2), 181-193 (2007).