Application of the ensemble Kalman filter for assisted layered history matching

Wenshu Zha, Shanlu Gao, Daolun Li, Kaijie Chen

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Abstract


Ensemble Kalman filter (EnKF) method has been used for automatic history matching the well production data such as production rate and watercut. However, the data of the connection watercut and connection rate are rarely used. In this work we conducted a history matching study based on the connection information using the EnKF for the first time to improve the matching accuracy. First, the initial implementation models are generated using the sequential Gaussian simulation method. Second, we choose the well watercut and connection watercut of each layer as production data respectively. During this step, the data such as permeability, pressure, saturation, and production data are normalized to improve the accuracy of history matching and reduce the simulation time. Finally, the case using the well watercut as historical production data is compared against the case using the connection watercut using EnKF. The results show that the well bottomhole pressure and connection watercut can be better matched using the connection watercut as the historical production data. In addition, the simulation time decreases significantly.

Cited as: Zha, W., Gao, S., Li, D., Chen, K. Application of the ensemble Kalman filter for assisted layered history matching. Advances in Geo-Energy Research, 2018, 2(4): 450-456, doi: 10.26804/ager.2018.04.09


Keywords


Layered history matching, ensemble Kalman filter, normalization, production data

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References


Chen, Y., Oliver, D.S. Ensemble randomized maximum likelihood method as an iterative ensemble smoother. Math. Geosci. 2012, 44(1): 1-26.

Corser, G.P., Harmse, J.E., Corser, B.A., et al. Field test results for a real-time intelligent drilling monitor. Paper SPE 59227 Presented at the SPE Drilling Conference, New Orleans, Louisiana, 23-25 February, 2000.

Eisenmann, P., Gounot, M.T., Juchereau, B., et al. Improved Rxo measurements through semi-active focusing. Paper SPE 28437 Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, 25-28 September, 1994.

Evensen, G. Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics. J. Geophys. Res. 1994, 99(C5): 10143-10162.

Evensen, G. The ensemble Kalman filter: Theoretical formulation and practical implementation. Ocean Dyn. 2003, 53(4): 343-367.

Gao, G., Vink, J.C., Chen, C., et al. Distributed Gauss-Newton optimization method for history matching problems with multiple best matches. Comput. Geosci. 2017, 21(5-6): 1325-1342.

Haugen, V., Naevdal, G., Natvik, L.J., et al. History matching using the ensemble Kalman filter on a North Sea field case. SPE J. 2008, 13(4): 382-391.

Irani, R., Nasimi, R. Evolving neural network using real coded genetic algorithm for permeability estimation of the reservoir. Expert Syst. Appl. 2011, 38(8): 9862-9866.

Jo, H., Jung, H., Ahn, J., et al. History matching of channel reservoirs using ensemble Kalman filter with continuous update of channel information. Energy Explor. Exploit. 2017, 35(1): 3-23.

Jung, H., Jo, H., Kim, S., et al. Recursive update of channel information for reliable history matching of channel reservoirs using EnKF with DCT. J. Pet. Sci. Eng. 2017, 154: 19-37.

Jung, S., Lee, K., Park, C., et al. Ensemble-based data assimilation in reservoir characterization: A review. Energies 2018, 11(2): 445.

Kalman, R.E. A new approach to linear filtering and prediction problems. Trans. ASME J. Basic Eng. 1960, 82(1): 35-45.

Kang, B., Lee, K., Choe, J. Improvement of ensemble smoother with SVD-assisted sampling scheme. J. Pet. Sci. Eng. 2016, 141: 114-124.

Krymskaya, M.V., Hanea, R.G., Verlaan, M. An iterative ensemble Kalman filter for reservoir engineering appli-cations. Comput. Geosci. 2009, 13(2): 235-244.

Lee, K., Jeong, H., Jung, S.P., et al. Improvement of ensemble smoother with clustered covariance for channelized reservoirs. Energy Explor. Exploit. 2013, 31(5): 713-726.

Lee, K., Jung, S.P., Shin, H., et al. Uncertainty quantification of channelized reservoir using ensemble smoother with selective measurement data. Energy Explor. Exploit. 2014, 32(5): 805-816.

Li, R., Reynolds, A.C., Oliver, D.S. History matching of three-phase flow production data. SPE J. 2003, 8(4): 328-340.

Luo, X., Hoteit, I., Duan, L., et al. Review of nonlinear Kalman, ensemble and particle filtering with application to the reservoir history matching problem. Int. J. Urol. 2011, 21(1): 108-112.

Naevdal, G., Mannseth, T., Vefring, E. Near-well reservoir monitoring through ensemble Kalman filter. Paper SPE 75235 Presented at the SPE/DOE Improved Oil Recovery Symposium, Tulsa, Oklahoma, 13-17 April, 2002.

Oliver, D.S., Chen, Y. Recent progress on reservoir history matching: A review. Comput. Geosci. 2011, 15(1): 185-221.

Oliver, D.S., Reynolds, A.C., Liu, N. Inverse Theory for Petroleum Reservoir Characterization and History Matching. Cambridge, UK, Cambridge University Press, 2008.

Seiler, A., Evensen, G., Skjervheim, J.A. Advanced reservoir management workflow using an EnKF based assisted history matching method. Paper SPE 118906 Presented at the SPE Reservoir Simulation Symposium, Woodlands, Texas, 2-4 February, 2009.

Stordal, A.S., Naevdal, G. A modified randomized maximum likelihood for improved Bayesian history matching. Comput. Geosci. 2018, 22(1): 29-41.

Zafari, M., Reynolds, A.C. Assessing the uncertainty in reservoir description and performance predictions with the ensemble Kalman filter. Paper SPE 95750 Presented at the SPE Annual Technical Conference and Exhibition, Dallas, Texas, 9-12 October, 2005.


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