An Initial Guess for the Levenberg-Marquardt Algorithm for Conditioning a Stochastic Channel to Pressure Data

Mathematical Geology

Volumn 35, Issue 1, 2003, Pages 67-88

  Zhang, Fengjun ^a   Reynolds, Albert C ^a   Oliver, Dean S ^a  

^a The University of Tulsa   (United States)

Author keywords

Matching pressure data; Modeling channels; Optimization; Randomized maximum likelihood method; Stochastic simulation

Indexed keywords

CONDITIONALITY; DATA PROCESSING; FACIES; MATHEMATICAL ANALYSIS; PRESSURE; WELL TECHNOLOGY;

EID: 0742305758     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022317229206     Document Type: Article

References (17)

1. Bi, Z., 1999, Conditioning 3D stochastic channels to well-test pressure data: Doctoral Dissertation, University of Tulsa, OK, 150 p.
2. Bi, Z., Oliver, D. S., and Reynolds, A. C. 1999, Conditioning 3D stochastic channels to pressure data (SPE-56682), in 1999 SPE Annual Technical Conference and Exhibition, p. 443-458.
3. Bonet-Cunha, L., Oliver, D. S., Rednar, R. A., and Reynolds, A. C., 1998, A hybrid Markov chain Monte Carlo method for generating permeability fields conditioned to multiwell pressure data and prior information: SPE J, v. 3, no. 3, p. 261-271.
4. Georgsen, F., and Omre, H., 1993, Combining fibre processes and Gaussian random functions for modelling fluvial reservoirs, in Soares A., ed., Proceedings: Geostatistics Tróia'92, Kluwer Academic, Dordrecht: p. 425-439.
5. Holden, L., Hauge, R., Skarem, Ø., and Skorstad, A. 1998, Modeling of fluvial reservoirs with object models: Math. Geol., v. 30, no. 5, p. 473-496.
6. Kitanidis, P. K., 1995, Quasi-linear geostatiscal theory for inversing: Water Resour. Res., v. 31, no. 10, p. 2411-2419.
7. Landa, J. L., 1997, Reservoir parameter estimation constrained to pressure transients, performance history and distributed saturation data: Doctoral Dissertation, Stanford University, Stanford, CA, 251 p.
8. Landa, J. L., and Horne R. N., 1997, A procedure to integrate well test data, reservoir performance history and 4-D seismic information into a reservoir description (SPE-38653), in 1997 SPE Annual Technical Conference and Exhibition, p. 99-114.
9. Li, R., Reynolds, A. C., and Oliver, D. S., 2001, History matching of three-phase flow production data (SPE 66351), in Proceedings of the 2001 SPE Reservoir Simulation Symposium, 16 p.
10. Oliver, D. S., 1996, On conditional simulation to inaccurate data: Math. Geol., v. 28, no. 6, p. 811-817.
11. Oliver, D. S., He, N., and Reynolds, A. C. 1996, Conditioning permeability fields to pressure data, in European Conference for the Mathematics of Oil Recovery, V, p. 1-11.
12. Peaceman, D. W., 1983, Interpretation of well-block pressures in numerical reservoir simulation with non-square grid blocks and anisotropic permeability, Soc. Petrol. Eng. J., v. 23, no. 6, p. 531-543.
13. Rahon, D., Edoa, P. F., and Masmoudi, M., 1997, Inversion of geological shapes in reservoir engineering using well-tests and history matching of production data (SPE 38656), in 1997 SPE Annual Technical Conference and Exhibition, p. 141-150.
14. Reynolds, A. C., He, N., and Oliver, D. S., 1999, Reducing uncertainty in geostatistical description with well testing pressure data, in (edited by Schatzinger, R. A. and Jordan J. F.) eds., Reservoir Characterization - Recent Advances, American Association of Petroleum Geologists, p. 149-162.
15. Shmaryan, L. E., and Deutsch, C. V., 1999, Object-based modeling of fluvial/deepwater reservoirs with fast data conditioning: Methodology and case studies (SPE 56821), in Proceedings of the 1999 SPE Annual Technical Conference and Exhibition, p. 977-886.
16. Tarantola, A., 1987, Inverse problem theory: Methods for data fitting and model parameter estimation: Elsevier, Amsterdam, 613 p.
17. Zhang, F., Reynolds, A. C., and Oliver, D. S 2002, Evaluation of the reduction in uncertainly obtained by conditioning a 3d stochastic channel to multiwell pressure data: Math. Geol., v. 34, no. 6, p. 715-742.