Stochastic history matching and data integration for complex reservoirs using a wavelet-based algorithm

Proceedings - SPE Annual Technical Conference and Exhibition

Volumn 6, Issue , 2006, Pages 4047-4062

  Sahni, I ^a   Home, R N ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AVERAGING TECHNIQUES; HISTORY-MATCHED MODELS; PARAMETER DISTRIBUTION; THREE-DIMENSIONAL MODELS;

ALGORITHMS; COMPUTER SIMULATION; DATA PROCESSING; MAGNETIC PERMEABILITY; MATHEMATICAL INSTRUMENTS; RANDOM PROCESSES; WAVELET TRANSFORMS;

PETROLEUM RESERVOIRS;

EID: 33751006724     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (35)

1. Anterion, F., Eymard, R., and Karcher, B. 1989. Use of Parameter Gradients for Reservoir History Matching. Paper SPE 18433 presented at the SPE Symposium on Reservoir Simulation, Houston, 6-8 February.
2. Beylkin, G., Coifinan, R., Rokhlin, V. 1991. Comm. On Pure and Applied Math., 44., 141-183.
3. Bissel, R. 1996. History Matching a Reservoir Model by the Positioning of Geological Objects. Paper presented at the 5th European Conference on the Mathematics of Oil Recovery, Leoben, Austria, 3-6 September.
4. Boggess, A. and Narcowich, F.J. 2001. A First Course in Wavelets With Fourier Analysis. Upper Saddle River, New Jersey: Prentice-Hall.
5. Chu, L., Reynolds, A.C., and Oliver, D.S. 1995. Computation of Sensitivity Coefficients for Conditioning the Permeability Field to Well-Test Pressure Data. In Situ 19(2): 179-223.
6. Datta-Gupta, A., Vasco, D.W., and Long, J.C.S. 1997. On the Sensitivity and Spatial Resolution of Transient Pressure and Tracer Data For Heterogeneity Characterization. SPEFE 12(2): 137-144.
7. Daubechies, I. 1988. Orthonormal Bases of Compactly Supported Wavelets. Comm. On Pure and Appl. Math. 41(7): 909-996.
8. Daubechies, I. 1992. Ten Lectures on Wavelets. CBMS-NSF Regional Conference Series in Applied Mathematics, Society for Industrial and Applied Mathematics (SIAM), 61: 115-137.
9. de Marsily, G., Lavedan, G., Boucher, M., and Fasanino, G. 1984. Interpretation of Interference Tests in a Well Field Using Geostatistical Techniques to Fit the Permeability Distribution in a Reservoir Model. In Geostatistics for Natural Resources Characterization, Part 2: 831-849.
10. Deutsch, C.V. and Journel, A.G. 1998. GSLIB: Geostatistical Software Library and Users Guide, second edition. New York City: Oxford U. Press.
11. Gill, P.E., Murray W., and Wright, M.H. 1981. Practical Optimization. New York City: Academic Press.
12. Guan, L., Du, Y., Li, L.: "Wavelets in Petroleum Industry : Past, Present and Future", paper SPE 89952 presented at the 2004 SPE Annual Technical Conference and Exhibition, Houston, Texas, 26-29 September.
13. Isaaks, E. and Srivastava, M. 1989. An Introduction to Applied Geostatistics. New York City: Oxford U. Press.
14. Jaffard, S. and Meyer, Y. 2001. Wavelets: Tools for Science and Technology. Society for Industrial and Applied Mathematics (SIAM) Philadelphia, Pa.
15. Jansen, F.E., Kelkar, M.G.: "Upscaling of Reservoir Properties Using Wavelets", paper SPE 39495 presented at the 1998 SPE India Oil and Gas Conference and Exhibition, New Delhi, India, 17-19 February.
16. Jansen, F.E.: "Reservoir Description from Production Data", Ph.D. dissertation, The University of Tulsa, Tulsa, OK (1996).
17. Landa, J.L. 1997. Reservoir Parameter Estimation Constrained to Pressure Transients, Performance History and Distributed Saturation Data. PhD dissertation, Stanford U., Stanford, California.
18. Landa, J.L. and Home, R.N. 1997. A Procedure to Integrate Well Test Data, Reservoir Performance History and 4D Seismic Data Into a Reservoir Description. Paper SPE 38653 presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 5-8 October.
19. Lu, P. 2001. Reservoir Parameter Estimation Using Wavelet Analysis. PhD dissertation, Stanford U., Stanford, California.
20. Lu, P. and Home, R.N. 2000. A Multiresolution Approach to Reservoir Parameter Estimation Using Wavelet Analysis. Paper SPE 62985 presented at the SPE Annual Technical Conference and Exhibition, Dallas, 1-4 October.
21. Mallat, S. 1987. An Efficient Image Representation for Multiscale Analysis. Paper presented at the Machine Vision Conference, Lake Tahoe, February.
22. S. Mallat, 1999, A Wavelet Tour of Signal Processing, Academic Press; 2 edition,September 15.
23. Muraki, S. 1993, Volume Data and Wavelet Transforms. IEEE Computer Graphics and Applications, 13(4), 50-56.
24. Panda, M.N., Mosher, C.C., Chopra, A.K.: Application of Wavelet Transforms to Reservoir-Data Analysis and Scaling paper SPE60845 SPE Journel 5 (1) (March 2000) 92.
25. Panda, M.N., Mosher, C.C., Chopra, A.K.: Reservoir Modeling Using Scale-Dependent Data paper SPE Journel (June 2001) 157.
26. Sahni, I. 2003. Multiresolution Wavelet Analysis for Improved Reservoir Description. MS report, Stanford U., Stanford, California
27. Sahni, I. and Home, R.N. Feb. 2005. Multiresolution Wavelet Analysis for Improved Reservoir Description. SPEREE 8(1): 53-69.
28. Sahni, I. and Home, R.N. June 2006, Generating Multiple History Matched Reservoir Models using Wavelets. SPEREE 9(3): 217-226.
29. Sahni, I. 2006. Reservoir characterization by partitioning the model parameter space using multiresolution reparametrization. PhD dissertation, Stanford U., Stanford, California.
30. Stollnitz, E.J., DeRose, T. D. and Salesin, D.H. Wavelets for computer graphics: A primer, part 1. IEEE Computer Graphics and Applications, 15(3):76-84, May 1995.
31. Stollnitz, E.J., DeRose, T. D. and Salesin, D.H. Wavelets for computer graphics: A primer, part 2. IEEE Computer Graphics and Applications, 15(4):75-85, July 1995.
32. Stromme, O. and McGregor, D.R. 1997. Study of Wavelet Decompositions for Image/Video Compression by Software Codecs. Image Processing and Its Applications, 1997., Sixth International Conference on Volume 1, 14-17 July 1997 Page(s):61-63 vol.1
33. Tarantula, A. 2003. Inverse Problem Theory and Methods for Model Parameter Estimation. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, Pa.
34. Wang, Y. 2001. Streamline Approaches for Integrating Production History With Geologic Information in Reservoir Models. PhD dissertation, Stanford U., Stanford, California.
35. Wickerhauser, M.V. 1994. Adapted Wavelet Analysis From Theory to Software. Wellesley, Massachusetts: A.K. Peters.