A stochastic optimization algorithm for automatic history matching

Proceedings - SPE Annual Technical Conference and Exhibition

Volumn , Issue , 2004, Pages 1201-1223

  Gao, Guohua ^a   Li, Gaoming ^a   Reynolds, A C ^a  

^a UNIVERSITY OF TULSA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATION; DATA ACQUISITION; GENETIC ALGORITHMS; MULTIPHASE FLOW; OPTIMIZATION; PERTURBATION TECHNIQUES; RANDOM PROCESSES; SIMULATED ANNEALING;

AUTOMATIC HISTORY MATCHING; COMPUTATIONAL EFFICIENCY; DATA MISMATCH; STOCHASTIC OPTIMIZATION;

PETROLEUM RESERVOIRS;

EID: 22044450503     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2118/90065-ms     Document Type: Conference Paper

References (50)

1. Bisseil, R.: "Calculating Optimal Parameters for History Matching," 4th European Conference on the Mathematics of Oil Recovery (1994).
2. Oliver, D.S.: "Incorporation of Transient Pressure Data into Reservoir Characterization," In Situ (1994) 18, 243.
3. Chu, L., Reynolds, A.C. and Oliver, D.S.: "Computation of Sensitivity Coefficients for Conditioning the Permeability Field to Well-Test Data," In Situ (1995) 19, 179.
4. Omre, H., Hegstad, B.K. and Tjelmeland, H.: Alternative History Matching Approaches, Technical report, Department of Mathematical Sciences, Norwegian University of Science & Technology, Trondheim, Norway (1996).
5. Oliver, D.S., He, N. and Reynolds, A.C.: "Conditioning Permeability Fields to Pressure Data," European Conference for the Mathematics of Oil Recovery, V (1996).
6. He, N., Reynolds, A.C. and Oliver, D.S.: "ThreeDimensional Reservoir Description From Multiwell Pressure Data and Prior Information," Soc. Pet. Eng. J. (1997), 312.
7. Lands, J.L. and Horne, R.N.: "A Procedure to Integrate Well Test Data, Reservoir Performance History and 4-D Seismic Information Into a Reservoir Description (SPE-38653)," 1997 SPE Annual Technical Conference and Exhibition (1997).
8. Wu, Z., Reynolds, A.C. and Oliver, D.S.: "Conditioning Geostatistical Models to Two-Phase Production Data," Soc. Petrol. Eng. J. (1999) 3, 142.
9. Reynolds, A.C., He, N. and Oliver, D.S.: "Reducing Uncertainty in Geostatistical Description with Well Testing Pressure Data," Reservoir Characterization-Recent Advances, eds. R. A. Schatzinger and J. F. Jordan, American Association of Petroleum Geologists (1999) 149-162.
10. Glimm, J. and Sharp, D.H.: "Prediction and the Quantification of Uncertainty," Physica D (1999) 133, 152.
11. Vasco, D.W., Yoon, S. and Datta-Gupta, A.: "Integrating Dynamic Data Into High-Resolution Reservoir Models Using Streamline-Based Analytic Sensitivity Coefficients," SPE Journal (1999) 4, 389.
12. Barker, J.W., Cuypers, M. and Holden, L.: "Quantifying Uncertainty in Production Forecasts: Another Look at the PUNQ-S3 Problem," SPE Journal (2001) 6, 433.
13. Hegstad, B.K. and Omre, H.: "Reservoir Characterization Integrating Well Observations, Seismic Data and Production History," SPE Journal (2001) 6, 409.
14. Gosselin, O., Cominelli, A., van den Berg, S. and Chowdhury, S.D.: "A gradient-based approach for history-matching of both production and 4D seismic data," 7th European Conference on the Mathematics of Oil Recovery (2000).
15. Zhang, F., Reynolds, A.C. and Oliver, D.S.: "Evaluation of the Reduction in Uncertainty Obtained by Conditioning a 3D Stochastic Channel to Multiwell Pressure Data," Mathematical Geology (2002) 34, 713.
16. Aannonsen, S.I. et al.: "Integration of 4D Data in the History Match Loop by Investigating Scale Dependent Correlations in the Acoustic Impedance Cube," 8th European Conference on the Mathmatics of Oil Recovery (2002).
17. Aanonsen, S.I. et al.: "Effect of Scale Dependent Data Correlations in an Integrated History Matching Loop Combining Production Data and 4D Seismic Data (SPE 79665)," Proceedings of the 2003 SPE Reservoir Simulation Symposium (2003).
18. Li, R., Reynolds, A.C. and Oliver, D.S.: "History Matching of Three-Phase Flow Production Data," SPE J. (2003) 8, 328.
19. Zhang, F., Skjervheim, J.A., Reynolds, A.C. and Oliver, D.S.: "Automatic History Matching in a Bayesian Framework: Example Applications (SPE-84461)," 2005 SPE Annual Technical Conference and Exhibition (2003).
20. Gavalas, G.R., Shah, P.C. and Seinfeld, J.H.: "Reservoir history matching by Bayesian Estimation," Soc. Petrol. Eng. J. (1976) 16, 337.
21. Carrera, J. and Neuman, S.P.: "Estimation of Aquifer Parameters Under Transient and Steady State Conditions: 1. Maximum Likelihood Method Incorporating Prior Information," Water Resour. Res. (February 1986) 22, 199.
22. Carrera, J. and Neuman, S.P.: "Estimation of Aquifer Parameters Under Transient and Steady State Conditions: 2. Uniqueness, Stability, and Solution Algorithms," Water Resour. Res. (February 1986) 22, 211.
23. Zhang, F. and Reynolds, A.C.: "Optimization Algorithms for Automatic History Matching of Production Data," Proceedings of 8th European Conference on the Mathematics of Oil Recovery (2002), 10 pages.
24. Li, R., Reynolds, A.C. and Oliver, D.S.: "Sensitivity Coefficients for Three-Phase Flow History Matching," J. Canadian Pet. Tech. (2003) 42.
25. Gao, G. and Reynolds, A.C.: "An Improved Implementation of the LBFGS Algorithm for Automatic History Matching (SPE-90058)," 2004 SPE Annual Technical Conference and Exhibition (2004).
26. Carter, J. and Romero, C.: "Using Genetic Algorithm to Invert Numerical Simulations," Proceedings of 8th European Conference on the Mathematics of Oil Recovery (2002), 8 pages.
27. Gao, G. and Reynold, A.C.: "An Improved Implementation of the LBFGS Algorithm for Automatic History Matching with Application to the PUNQ Data Set," TUPREP Research Report 21 (2004), 14.
28. Bonet-Cunha, L., Oliver, D.S., Redner, R.A. and Reynolds, A.C.: "Hybrid Markov Chain Monte Carlo Method for Generating Permeability Fields Conditioned to Multiwell Pressure Data and Prior Information," SPEJ (1998) 11, 261.
29. Naevdal, G., Mannseth, T. and Vefring, E.H.: "Near-Well Reservoir Monitoring Through Ensemble Kalman Filter (SPE-75235)," Proceeding of SPE/DOE Improved Oil Recovery Symposium (2002).
30. Naevdal, G., Johnsen, L.M., Aanonser, S.I. and Vefring, E.H.: "Reservoir Monitoring and Continuous Model Updating Using Ensemble Kaiman Filter (SPE-84372)," 2005 SPE Annual Technical Conference and Exhibition (2003).
31. Le Ravalec, M., Hu, L.Y. and Nœtinger, B.: "Stochastic Reservoir Modeling Constrained to Dynamic Data: Local Calibration and Inference of the Structural Parameters (SPE-56556)," 1999 SPE Annual Technical Conference and Exhibition (1999).
32. Hu, L.Y.: "Gradual Deformation and Iterative Calibration of Gaussian-Related Stochastic Models," Math. Geol. (2000) 32, 87.
33. Hu, L.Y., Blanc, G. and Noetinger, B.: "Gradual Deformaton and Iterative Calibration of Sequential Stochastic Simulations," (2001) 33, 475.
34. Le Ravalec, M., Hu, L.Y. and Nœtinger, B.: "Sampling the conditional realization space using the gradual deformation method," Geostatistics 2000 Cape Town (2000) 1, 176.
35. Le Ravalec, M. and Nœtinger, B.: "Optimization with the gradual deformation method," Mathematical Geology (2002) 34, 125.
36. Kiefer, J. and Wolfowitz, J.: "Stochastic Estimation of a Regression Function," Ann. Math. Statist. (1952) 23, 462.
37. Robbins, H. and Monro, S.: "A Stochastic Approximation Method," Ann. Math. Statist. (1951) 22, 400.
38. Chin, D.C.: "Comparative Study of Stochastic Algorithms for System Optimization Based on Gradient Approximations," IEEE Transactions on Systems, Man and Cybernetics-Part B: Cybernetics (1997) 27, 244.
39. Spall, J.C.: "Multivariate Stochastic Approximation Using a Simulataneous Perturbation Gradient Approximation," IEEE Transactions Automat. Control. (1992) 37, 332.
40. Kushner, H.J. and Yang, J.: "Stochastic Approximation with Averaging and Feedback: Rapidly Convergence Online Algorithms," IEE Trans. Autom. Control (1995) 40, 24.
41. Spall, J.C.: "Implementation of the Simultaneous Perturbation Algorithm for Stochastic Optimization," IEEE Transactions on Aerospace and Electronic Systems (1998) 34, 817.
42. Spall, J.C.: "Adaptive Stochastic Approximation by the Simultaneous Perturbation Method," IEEE Transactions on Automatic Control (2000) 45, 1839.
43. Gerencsér, L., Hill, S.D. and Vágoó, Z.: "Discrete Optimization via SPSA," Proc. of American Control Conf. (2001).
44. Hutchison, D.W. and Hill, S.D.: "Simulation Optimization of Airline Delay With Constraints," Proc. 36th IEEE Conf. on Decision and Control (1997).
45. Nocedal, J. and Wright, S.J.: Numerical Optimization, Springer, New York (1999).
46. Tarantula, A.: Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation, Elsevier, Amsterdam, The Netherlands (1987).
47. Skjervheim, J.A.: Automatic history matching, M.S. thesis, University of Tulsa and Norweigian University of Science and Technology, Tulsa, Oklahoma (2002).
48. Liu, N. and Oliver, D.S.: "Evaluation of Monte Carlo methods for assessing uncertainty," SPE Journal (2003) 8, 188.
49. Spall, J.C.: "Accelerated Second-Order Stochastic Optimization Using Only Function Measurements," Proc. of the 2001 Winter Simulation Conf. (2001).
50. Floris, F.J.T. et al.: "Methods for Quantifying the Uncertainty of Production Forecasts: A Comparative Study," Petroleum Geoscience (2001) 7, 87.