TECHNICAL PAPERS
Sep 24, 2010

Identification of Geologic Fault Network Geometry by Using a Grid-Based Ensemble Kalman Filter

Publication: Journal of Hazardous, Toxic, and Radioactive Waste
Volume 15, Issue 4

Abstract

Discrete geologic features such as faults and highly permeable embedded channels can significantly affect subsurface flow and transport characteristics. Therefore, they must be properly identified, parameterized, and represented in subsurface simulation models. In this work, we use an improved ensemble Kalman filter (EnKF) for history-matching fault network geometry from production data. EnKF is a sequential Monte Carlo data assimilation method that simultaneously propagates and updates an ensemble of model states, resulting in a set of calibrated model realizations that can be readily used for model prediction and uncertainty analysis. A pattern-based stochastic simulation algorithm was used to generate fault network realizations based on a priori fault trace data. The classic EnKF algorithm was enhanced with a grid-based covariance localization scheme to better handle non-Gaussian permeability distributions resulting from the presence of faults. Numerical experiments indicate that the modified EnKF can be a promising method for uncovering unmapped faults by using production data.

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Acknowledgments

The writer wishes to thank Dr. A. Morris for providing the fault trace map and for insightful discussions. This work was funded by an internal research and development project from Southwest Research Institute. The three anonymous referees and Guest Editor Dr. Zhang Ming are thanked for helping improve the manuscript.

References

Agbalaka, C. C., and Oliver, D. S. (2008). “Application of the ENKF and localization to automatic history matching of facies distribution and production data.” Math. Geosci., 40, 353–374.
Anderson, J. L. (2001). “An ensemble adjustment Kalman filter for data assimilation.” Mon. Weather Rev., 129, 2884–2903.
Anderson, J. L. (2009). “Spatially and temporally varying adaptive covariance inflation for ensemble filters.” Tellus, 61A, 72–83.
Anderson, B. D. O., and Moore, J. B. (1979). Optimal filtering, Dover, New York.
Borgos, H. G., Omre, H., and Townsend, C. (2002). “Size distribution of geological faults: Model choice and parameter estimation.” Stat. Model., 2(3), 217–234.
Boucher, A. (2009). “Considering complex training images with search tree partitioning.” Comput. Geosci., 35(6), 1151–1158.
Chen, Y., and Zhang, D. (2006). “Data assimilation for transient flow in geologic formations via ensemble Kalman filter.” Adv. Water Resour., 29(8), 1107–1122.
Chilès, J. P. (1988). “Fractal and geostatistical methods for modeling of a fracture network.” Math. Geol., 20(6), 631–654.
Cowie, P. A., Knipe, R. J., Main, I. G., and Wojtal, S. F. (1996). “Scaling laws for fault and fracture populations: Analyses and applications.” J. Struct. Geol., 18, 135–383.
Deutsch, C. V., and Journel, A. G. (1998). “Geostatistical software library and users guide.” 2nd ed., Oxford University Press, New York.
Evensen, G. (1994). “Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics.” J. Geophys. Res., 99(C5), 10143–10162.
Ferrill, D. A., et al. (2008). Carbonate fault project: First year progress report, Geosciences and Engineering Division, Southwest Research Institute, San Antonio.
Gauthier, B. D. M., and Lake, S. D. (1993). “Probabilistic modeling of faults below the limit of seismic resolution in Pelican field, North Seas, offshore United Kingdom.” AAPG Bull., 77, 761–776.
Gu, Y., and Oliver, D. S. (2004). “History matching of the PUNQ-S3 reservoir model using the ensemble Kalman filter.” SPE J., 10(2), 217–224.
Harbaugh, A. W., Banta, E. R., Hill, M. C., and McDonald, M. G. (2000). “MODFLOW-2000, the U.S. Geological Survey modular groundwater model user guide to modularization concepts and the groundwater flow process.” U.S. Geological Survey Open-File Rep. 00-92, Washington, DC.
Hunt, B. R., Kostelich, E. J., and Szunyogh, I. (2007). “Efficient data assimilation for spatiotemporal chaos: A local ensemble transform Kalman filter.” Physica D (Amsterdam), 230, 112–126.
Kim, S., Eyink, G. L., Restrepo, J. M., Alexander, F. J., and Johnson, G. (2003). “Ensemble filtering for nonlinear dynamics.” Mon. Weather Rev., 131, 2586–2594.
Maerten, L., Gillespie, P., and Daniel, J.-M. (2006). “Three-dimensional geomechanical modeling for constraint of subseismic fault simulation.” AAPG Bull., 90(9), 1337–1358.
Moradkhani, H., Sorooshian, S., Gupta, H. V., and Houser, P. R. (2005). “Dual state-parameter estimation of hydrological models using ensemble Kalman filter.” Adv. Water Resour., 28(2), 135–147.
Seiler, A., Evensen, G., Skjervheim, J.-A., Hove, J., and Vabø, J. G. (2009). “Advanced reservoir management workflow using an EnKF based assisted history matching method.” SPE 118906. Proc., SPE Reservoir Simulation Symp., Woodlands, TX.
Støyan, D., Kendall, W. S., and Mecke, J. (1995). Stochastic geometry and its applications, 2nd ed., Wiley, New York.
Sun, A., Morris, A., and Mohanty, S. (2009a). “Sequential updating of multimodal hydrogeologic parameter fields using localization and clustering techniques.” Water Resour. Res., 45, W07424.
Sun, A., Morris, A., and Mohanty, S. (2009b). “Comparison of deterministic ensemble Kalman filters for assimilating hydrogeologic data.” Adv. Water Resour., 32(2), 280–292.
Sun, A., Painter, S., and Green, R. (2005). “Modeling Barton Springs segment of the Edwards Aquifer using MODFLOW-DCM.” Proc., 10th Multidisciplinary Conf. on Sinkholes and the Engineering and Environmental Impacts of Karst, G. Schindel, ed., San Antonio.
Trudinger, C. M., Raupach, M. R., Rayner, P. J., and Enting, I. G. (2008). “Using the Kalman filter parameter estimation in biogeochemical models.” Environmetrics, 19(8), 849–870.
Wikle, C. K., and Berliner, L. M. (2007). “A Bayesian tutorial for data assimilation.” Physica D (Amsterdam), 230, 1–16.
Wu, J., Boucher, A., and Zhang, T. (2008). “A SGeMS code for pattern simulation of continuous and categorical variables: FILTERSIM.” Comput. Geosci., 34, 1863–1876.
Zhang, T., Journel, A. G., and Switzer, P. (2006). “Filter-based classification of training image patterns for spatial simulation.” Math. Geol., 38, 63–80.

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Go to Journal of Hazardous, Toxic, and Radioactive Waste
Journal of Hazardous, Toxic, and Radioactive Waste
Volume 15Issue 4October 2011
Pages: 228 - 233

History

Received: Apr 4, 2010
Accepted: Aug 31, 2010
Published online: Sep 24, 2010
Published in print: Oct 1, 2011

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Authors

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Alexander Y. Sun [email protected]
Bureau of Economic Geology, Jackson School of Geosciences, Univ. of Texas, Austin, TX; formerly, Southwest Research Institute, San Antonio. E-mail: [email protected]

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