History matching production data and uncertainty assessment with an efficient TSVD parameterization algorithm

Journal of Petroleum Science and Engineering

Volumn 113, Issue , 2014, Pages 54-71

  Gharib Shirangi, Mehrdad ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

History matching; Randomized maximum likelihood; Singular value decomposition; Uncertainty assessment

Indexed keywords

COMPUTATIONAL RESULTS; DIMENSIONLESS SENSITIVITIES; HISTORY MATCHING; LEVENBERG-MARQUARDT ALGORITHM; PERFORMANCE PREDICTION; RANDOMIZED MAXIMUM LIKELIHOODS; TRUNCATED SINGULAR VALUE DECOMPOSITION; UNCERTAINTY ASSESSMENT;

ALGORITHMS; COVARIANCE MATRIX; PARAMETERIZATION; PETROLEUM RESERVOIR ENGINEERING; PETROLEUM RESERVOIRS; SINGULAR VALUE DECOMPOSITION; THREE DIMENSIONAL;

COMPUTATIONAL EFFICIENCY;

ALGORITHM; COMPUTER SIMULATION; DECOMPOSITION ANALYSIS; HYDROCARBON RESERVOIR; MAXIMUM LIKELIHOOD ANALYSIS; PERMEABILITY; UNCERTAINTY ANALYSIS;

EID: 84893795858     PISSN: 09204105     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.petrol.2013.11.025     Document Type: Article

References (21)

1. Abacioglu Y., Oliver D.S., Reynolds A.C. Efficient reservoir history matching using subspace vectors. Comput. Geosci. 2001, 5(2):151-172.
2. Anterion, F., Karcher, B., Eymard, R., 1989. Use of parameter gradients for reservoir history matching. In: Proceedings of the 10th SPE Reservoir Simulation Symposium, Houston, Texas, 6-8 February. No. SPE 18433.
3. Bi Z., Oliver D.S., Reynolds A.C. Conditioning 3D stochastic channels to pressure data. SPE J. 2000, 5(4):474-484.
4. Dickstein, F., Goldfeld, P., Pfeiffer, G., Amorim, E., dos Santos, R., Gmez, S., 2010. A study of the impact of 4d-seismic data on TSVD-based schemes for history matching. In: SPE Latin American and Caribbean Petroleum Engineering Conference. No. SPE 138864.
5. Emerick, A.A., Reynolds, A.C., 2012. History matching time-lapse seismic data using the ensemble Kalman filter with multiple data assimilations. Comput. Geosci. 16 (3), 639-659.
6. Gao G., Reynolds A.C. An improved implementation of the LBFGS algorithm for automatic history matching. SPE J. 2006, 11(1):5-17.
7. Gao G., Zafari M., Reynolds A.C. Quantifying uncertainty for the PUNQ-S3 problem in a Bayesian setting with RML and EnKF. SPE J. 2006, 11(4):506-515.
8. Gharib Shirangi, M., 2011. History Matching Production Data with Truncated SVD Parameterization (Master's thesis). The University of Tulsa.
9. Golub G.H., van Loan C.F. Matrix Computations 1989, The Johns Hopkins University Press, Baltimore. 2nd ed.
10. Li R., Reynolds A.C., Oliver D.S. History matching of three-phase flow production data. SPE J. 2003, 8(4):328-340.
11. Oliver, D.S., He, N., Reynolds, A.C., 1996. Conditioning permeability fields to pressure data. In: Proceedings of the European Conference for the Mathematics of Oil Recovery.
12. Oliver D.S., Reynolds A.C., Liu N. Inverse Theory for Petroleum Reservoir Characterization and History Matching 2008, Cambridge University Press, Cambridge, UK.
13. Reynolds A.C., He N., Oliver D.S. Reducing uncertainty in geostatistical description with well testing pressure data. Reservoir Characterization-Recent Advances 1999, 149-162. American Association of Petroleum Geologists. R.A. Schatzinger, J.F. Jordan (Eds.).
14. Tarantola A. Inverse Problem Theory. Methods for Data Fitting and Model Parameter Estimation 1987, Elsevier, Amsterdam, The Netherlands.
15. Tavakoli R., Reynolds A.C. History matching with parameterization based on the SVD of a dimensionless sensitivity matrix. SPE J. 2010, 15(12):495-508.
16. Tavakoli R., Reynolds A.C. Monte Carlo simulation of permeability fields and reservoir performance predictions with SVD parameterization in RML compared with EnKF. Comput. Geosci. 2011, 15(1):99-116.
17. Vogel C.R., Wade J.G. Iterative SVD-based methods for ill-posed problems. SIAM J. Sci. Comput. 1994, 15(3):736-754.
18. Xu, W., Tran, T.T., Srivastava, R.M., Journel, A.G., 1992. Integrating seismic data in reservoir modeling: the collocated Cokriging approach. In: Proceedings of the SPE Annual Technical Conference and Exhibition, No. SPE 24742.
19. Zhang, F., Reynolds, A.C., 2002. Optimization algorithms for automatic history matching of production data. In: Proceedings of 8th European Conference on the Mathematics of Oil Recovery, Freiberg, Germany, 3-6 September.
20. Zhang F., Reynolds A.C., Oliver D.S. Evaluation of the reduction in uncertainty obtained by conditioning a 3D stochastic channel to multiwell pressure data. Math. Geol. 2002, 34(6):713-740.
21. Zhang F., Reynolds A.C., Oliver D.S. The impact of upscaling errors on conditioning a stochastic channel to pressure data. SPE J. 2003, 8(1):13-21.