Inversion of dynamic production data for permeability: Fast streamline-based computation of sensitivity coefficients of fractional flow rate

Journal of Hydrology

Volumn 281, Issue 4, 2003, Pages 296-312

  Wen, X H ^a   Deutsch, C V ^c   Cullick, A S ^b  

^a CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

^b Landmark Graphics   (United States)

^c NONE

Author keywords

Inverse problem; Master point; Perturbation; Sequential self calibration method; Spatial correlation; Streamline simulation; Two phase flow

Indexed keywords

COMPUTATION THEORY; PROBABILITY; RESERVOIRS (WATER); SENSITIVITY ANALYSIS;

FRACTIONAL FLOW RATE;

HYDROLOGY;

FLOW MODELING; GROUNDWATER; PERMEABILITY; RESERVOIR; STOCHASTIC METHOD; STREAMLINE (FLOW); TWO-PHASE FLOW;

FLOW MODELING; GEOSTATISTICS; GROUNDWATER FLOW; PERMEABILITY; RESERVOIR; TWO PHASE FLOW;

EID: 0142214701     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(03)00192-6     Document Type: Article

References (25)

1. Batycky, R.P., Blunt, M.J., Thiele, M.R., 1997. A 3D field-scale streamline-based reservoir simulator. SPE Reservoir Engineering November, 246-254.
2. Capilla, J.E., Gómez-Hernández, J.J., Sahuquillo, A., 1997. Stochastic simulation of transmissivity fields conditioning to both transmissivity and piezometric data. 2. Demonstration in a synthetic case. Journal of Hydrology 203 (1-4), 175-188.
3. Chu, L., Reynolds, A.C., Oliver, D.S., 1995. Computation of sensitivity coefficients for conditioning the permeability field to well-test pressure data. In Situ 19 (2), 179-223.
4. Deutsch, C.V., Journel, A.G., 1998. GSLIB: Geostatistical Software Library and User's Guide, second ed, Oxford University Press, New York, 369.
5. Gómez-Hernández, J.J., Journel, A.G., 1993. Joint sequential simulation of multi-Gaussian fields. In: Soares, A., (Ed.), Geostatistics Troia 1992, vol. 1. Kluwer, Dordrecht, pp. 85-94.
6. Gómez-Hernández, J.J., Sahuquillo, A., Capilla, J.E., 1997. Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data. 1. The theory. Journal of Hydrology 203 (1-4), 162-174.
7. He, N., Reynolds, A.C., Oliver, D.S., 1996. Three-dimensional reservoir description from multiwell pressure data and prior information. In 1996 SPE Annual Technical Conference and Exhibition Formation Evaluation and Reservoir Geology, Denver, CO, Paper number 36509, pp. 151-166.
8. Hu, L.Y., Blanc, G., Noetinger, B., 1999. Gradual deformation and iterative calibration of sequential stochastic simulations. In: Lippard, S., Nassvol, A., Sinding-Larsen, R. (Eds.), Proceedings of IAMG'99, Trondheim, Norway.
9. Journel, A.G., 1989. Fundamentals of Geostatistics in Five Lessons, Short Course in Geology, vol. 8. American Geophysical Union, Washington, DC.
10. Landa, J.L., 1997. Reservoir Parameter Estimation Constrained to Pressure Transients. Performance History and Distributed Saturation Data. PhD Thesis, Stanford University, Stanford.
11. Oliver, D.S., 1996. Multiple realizations of the permeability field from well test data. SPEJ 1 (2), 145-154.
12. Pollock, D.W., 1989. Documentation of computer programs to compute and display pathline results from the US geological servey modular three-dimensional-finite-difference groundwater flow model. Technical Report Open File Report, 89-381, US Geological Survey.
13. Sun, N.-Z., 1994. Inverse Problems in Groundwater Modeling, Kluwer Academic Publishers, Boston, 37 pp.
14. Tarantola, A., 1987. Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation, Elsevier, Amsterdam, 613 pp.
15. Thiele, M.R., Batycky, R.P., Blunt, M.J., Orr, F.M. Jr, 1996. Simulating flow in heterogeneous systems using streamtubes and streamlines. SPE Reservoir Engineering February, 5-12.
16. Tjelmeland, H., 1997. A note on the Bayesian approach to history matching of reservoir characteristics. In: Pawlowsky, V., (Ed.), Third Annual Conference of International Association for Mathematical Geology, pp. 773-777, Part II, Barcelona, Spain, 22-27, September 1997.
17. Wen, X.-H., 1996. Stochastic Simulation of Groundwater Flow and Mass Transport in Heterogeneous Aquifers. Conditioning and Problem of Scales. PhD Thesis, Polytechnic University of Valencia, Valencia, Spain.
18. Wen, X.H., Gómez-Hernández, J.J., Capilla, J.E., Sahuquillo, A., 1996. The significance of conditioning on piezometric head data for predictions of mass transport in groundwater modeling. Mathematical Geology 28 (7), 961-968.
19. Wen, X.-H., Deutsch, C.V., Cullick, A.S., 1998. High resolution reservoir models integrating multiple-well production data. SPE Journal December, 344-355.
20. Wen, X.-H., Capilla, J.E., Deutsch, C.V., Gómez-Hernandez, J.J., Cullick, A.S., 1999. A program to create permeability field that honor single phase flow rate and pressure data. Computers and Geosciences 25, 217-230.
21. Wen, X.-H., Tran, T.T., Behrens, R.A., Gómez-Hernández, J.J., 2000. Production data integration in sand/shale reservoirs using sequential self-calibration and geomorphing: a comparison. In 2000 SPE Annual Technical Conference and Exhibition, Dallas, Texas, SPE paper number 63063, 1-4, October 2000.
22. Xu, W., Tran, T.T., Srivastava, R.M., Journel, A.G., 1992. Integrating seismic data in reservoir modeling: the collocated cokriging alternative. SPE Paper Number 24742.
23. Xue, G., Datta-Gupta, A., 1997. Structure preserving inversion: an effective approach to conditioning stochastic reservoir models to dynamic data. In 1997 SPE Annual Technical Conference and Exhibition Formation Evaluation and Reservoir Geology, pages part II, San Antonio, October, pp. 101-113.
24. Yeh, W.W-G., 1986. Review of parameter identification procedures in groundwater hydrology: the inverse problem. Water Resources Research 22 (2), 95-108.
25. Zhu, H., Journel, A.G., 1993. Formatting and integrating soft data: Stochastic imaging via the Markov-Bayes algorithm. In: Soares, A., (Ed.), Geostatistics Troia 1992, vol. 1. Kluwer, Dordrecht, pp. 1-12.