Ensemble Randomized Maximum Likelihood Method as an Iterative Ensemble Smoother

Mathematical Geosciences

Volumn 44, Issue 1, 2012, Pages 1-26

  Chen, Yan ^a   Oliver, Dean S ^b  

^a INTERNATIONAL RESEARCH INSTITUTE OF STAVANGER   (Norway)

^b Uni Centre for Integrated Petroleum Research   (Norway)

Author keywords

Data assimilation; Ensemble Kalman filter; Ensemble smoother; History matching; Iterative ensemble filter; Iterative ensemble smoother

Indexed keywords

DATA ASSIMILATION; ENSEMBLE FILTER; ENSEMBLE KALMAN FILTER; ENSEMBLE SMOOTHER; HISTORY MATCHING;

KALMAN FILTERS; MAXIMUM LIKELIHOOD; PETROLEUM RESERVOIRS; SEISMOLOGY;

DATA PROCESSING;

DATA ASSIMILATION; ENSEMBLE FORECASTING; KALMAN FILTER; MAXIMUM LIKELIHOOD ANALYSIS; NUMERICAL MODEL; SEISMIC DATA;

EID: 84855648156     PISSN: 18748961     EISSN: 18748953     Source Type: Journal    
DOI: 10.1007/s11004-011-9376-z     Document Type: Article

References (30)

1. Aanonsen SI, Nævdal G, Oliver DS, Reynolds AC, Vallès B (2009) Ensemble Kalman filter in reservoir engineering-a review. SPE J 14(3): 393-412.
2. Anderson JL (2007) Exploring the need for localization in ensemble data assimilation using a hierarchical ensemble filter. Physica D, Nonlinear Phenom 230(1-2): 99-111.
3. Annan JD, Hargreaves JC (2004) Efficient parameter estimation for a highly chaotic system. Tellus A 56(5): 520-526.
4. Burgers G, van Leeuwen PJ, Evensen G (1998) Analysis scheme in the ensemble Kalman filter. Mon Weather Rev 126(6): 1719-1724.
5. Caya A, Sun J, Snyder C (2005) A comparison between the 4DVAR and the ensemble Kalman filter techniques for radar data assimilation. Mon Weather Rev 133(11): 3081-3094.
6. Chen Y, Oliver DS (2010a) Ensemble-based closed-loop optimization applied to Brugge Field. SPE Reserv Eval Eng 13(1): 56-71.
7. Chen Y, Oliver DS (2010b) Parameterization techniques to improve mass conservation and data assimilation for ensemble Kalman filter (SPE 133560). In: SPE Western regional meeting, Anaheim, California, USA, 27-29 May 2010.
8. Evensen G (1994a) Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics. J Geophys Res 99(C5): 10143-10162.
9. Evensen G (1994b) Advanced data assimilation for strongly nonlinear dynamics. Mon Weather Rev 125(6): 1342-1354.
10. Evensen G (2003) The ensemble Kalman filter: Theoretical formulation and practical implementation. Ocean Dyn 53: 43-367.
11. Evensen G (2009) Data assimilation: the ensemble Kalman filter, 2nd edn. Springer, Berlin.
12. Gao G, Reynolds AC (2006) An improved implementation of the LBFGS algorithm for automatic history matching. SPE J 11(1): 5-17.
13. Gu Y, Oliver DS (2007) An iterative ensemble Kalman filter for multiphase fluid flow data assimilation. SPE J 12(4): 438-446.
14. Houtekamer PL, Mitchell HL (1998) Data assimilation using an ensemble Kalman filter technique. Mon Weather Rev 126(3): 796-811.
15. Kalnay E, Li H, Miyoshi T, Yang SC, Ballabrera-Poy J (2007) 4-D-Var or ensemble Kalman filter? Tellus A 59(5): 758-773.
16. Li G, Reynolds AC (2009) Iterative ensemble Kalman filters for data assimilation. SPE J 14(3): 496-505.
17. Li R, Reynolds AC, Oliver DS (2003) History matching of three-phase flow production data. SPE J 8(4): 328-340.
18. Liu N, Oliver DS (2005) Critical evaluation of the ensemble Kalman filter on history matching of geologic facies. SPE Reserv Eval Eng 8(6): 470-477.
19. Lorentzen RJ, Nævdal G (2011) An iterative ensemble Kalman filter. IEEE Trans Autom Control 56(8): 1990-1995.
20. Oliver DS, Chen Y (2011) Recent progress on reservoir history matching: a review. Comput Geosci 15(1): 185-221.
21. Oliver DS, Zhang Y, Phale HA, Chen Y (2011) Distributed parameter and state estimation in petroleum reservoirs. Comput Fluids 46(1): 70-77.
22. Peters L, Arts R, Brouwer G, Geel C, Cullick S, Lorentzen R, Chen Y, Dunlop K, Vossepoel F, Xu R, Sarma P, Alhutali A, Reynolds A (2010) Results of the Brugge benchmark study for flooding optimization and history matching. SPE Reserv Eval Eng 13(3): 391-405.
23. Sakov P, Evensen G, Bertino L (2010) Asynchronous data assimilation with the ensemble Kalman filter. Tellus A 62(1): 24-29.
24. Sakov P, Oliver DS, Bertino L (2011) An iterative EnKF for strongly nonlinear systems. Mon Weather Rev (submitted).
25. Skjervheim JA, Evensen G (2011) An ensemble smoother for assisted history matching (SPE-141929). In: SPE reservoir simulation symposium, The Woodlands, Texas, 21-23 February.
26. van Leeuwen PJ, Evensen G (1996) Data assimilation and inverse methods in terms of a probabilistic formulation. Mon Weather Rev 124(12): 2898-2913.
27. Wang Y, Li G, Reynolds AC (2010) Estimation of depths of fluid contacts and relative permeability curves by history matching using iterative ensemble Kalman smoothers (SPE 119056). SPE J 15(2): 509-525.
28. Wen XH, Chen WH (2007) Some practical issues on real-time reservoir model updating using ensemble Kalman filter. SPE J 12(2): 156-166.
29. Zhang Y, Oliver DS (2010) Improving the ensemble estimate of the Kalman gain by bootstrap sampling. Math Geosci 42(3): 327-345.
30. Zhao Y, Reynolds AC, Li G (2008) Generating facies maps by assimilating production data and seismic data with the ensemble Kalman filter, SPE-113990. In: Proceedings of the 2008 SPE improved oil recovery symposium, Tulsa, Oklahoma, 21-23 April.