Simultaneous estimation of relative permeability and porosity/permeability fields by history matching production data

Journal of Canadian Petroleum Technology

Volumn 48, Issue 12, 2009, Pages 13-25

  Eydinov, D ^a   Gao, G ^b   Li, G ^c   Reynolds, A C ^c  

^a SPT Group   (United States)

^b Shell

^c UNIVERSITY OF TULSA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CURVE FITTING; INTERPOLATION; MAXIMUM LIKELIHOOD ESTIMATION; PETROLEUM RESERVOIR ENGINEERING;

AUTOMATIC HISTORY MATCHING; B SPLINES; HISTORY MATCHING; MATCHING PROCESS; PERMEABILITY FIELDS; PRODUCTION DATA; RELATIVE PERMEABILITY; RELATIVE PERMEABILITY CURVES; SIMPLE++; SIMULTANEOUS ESTIMATION;

POROSITY;

EID: 76649104355     PISSN: 00219487     EISSN: None     Source Type: Journal    
DOI: 10.2118/132159-PA     Document Type: Article

References (19)

1. Archer, J.S. and Wong, S.W. 1973. Use of a Reservoir Simulator to Interpret Laboratory Waterflood Data. SPEJ. 13 (6): 343-347. SPE3551-PA. doi: 10.2118/3551-PA.
2. Yang, P.H. and Watson, A.T. 1991. A Bayesian Methodology for Estimating Relative Permeability Curves. SPE Res Eng 6 (2): 259-265. SPE-18531-PA. doi: 10.21 !8/18531-PA.
3. Reynolds, A.C., Li, R., and Oliver, D.S. 2004. Simultaneous estimation of absolute and relative permeability by automatic history matching of three-phase flow production data. J. Cdn. Pet. Tech. 43 (3): 37-46.
4. Chen, S., Li, G., Peres, A.M.M, and Reynolds, A.C. 2008. A Well Test for In-Situ Determination of Relative Permeability Curves. SPE ResEval&Eng 11 (1):95-107.SPE-96414-PA.doi: 10.2118/96414PA.
5. Okano, H., Pickup, G.E., Christie, MA., Subbey, S., Sambridge, M., and Monfared, H. 2005. Quantification of Uncertainty in Relative Permeability for Coarse-Scale Reservoir Simulation. Proceedings of SPE Europec/EAGE Annual Conference.
6. Tarantela, A. 1987. Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation. Amsterdam: Elsevier Science.
7. Reynolds, A.C., He, N., and Oliver, D.S. 1999. Reducing uncertainty in geostatistical description with well testing pressure data. In Reservoir Characterization: Recent Advances, ed. R.A. Schatzinger and J.F. Jordan, No.71, 149-162. Tulsa, Oklahoma: AAPG Memoir, AAPG.
8. Oliver, D.S., He, N., and Reynolds, A.C. 1996. Conditioning permeability fields to pressure data. Proc, 5th European Conference on the Mathematics of Oil Recovery (ECMOR V), Leoben, Austria, 3-6 September, 1-11.
9. Kitanidis, P.K. 1995. Quasi-linear geostatistical theory for inversing. Water Resources Research 31 (10): 2411-2419. doi: 10.1029/95WR01945.
10. Gomez-Hernandez, J.J. and Joumel, A.G. 1992. Joint sequential simulation of multigaussian fields. In Geostatistics Tróia '92, ed. A. Soares, 133-144. Dordrecht, The Netherlands: Kluwer Academic.
11. Zhang, F. and Reynolds, A.C. 2002. Optimization algorithms for automatic history matching of production data. Proc, 8th European Conference on the Mathematics of Oil Recovery (ECMOR VIII), Frieiberg, Germany, 3-6 September, 1-10.
12. Gao, G. and Reynolds, A.C. 2006. An Improved Implementation of the LBFGS Algorithm for Automatic History Matching. SPE J. 11 (1): 5-17. SPE-90058-PA. doi: 10.2118/90058-PA.
13. Stone, H. 1973. Estimation of Three-Phase Relative Permeability and Residual Oil Data. J. Can. Pet. Tech. 12 (4): 53-61.
14. de Boor, C. 1978. A Practical Guide to Splines. New York: Applied Mathematical Sciences, Springer.
15. Lane, J.M. and Reisenfeld, R.F. 1983. A geometric proof for the variation diminishing property of B-spline approximation. Journal of Approximation Theory 37 (1): 1-4. doi: 10.1016/00219045(83)90111-9.
16. Aziz, K. and Settari, A. 1979. Petroleum Reservoir Simulation. Essex, UK: Elsevier Applied Science Publishers.
17. Li, R., Reynolds, A.C., and Oliver, D.S. 2003. History Matching of Three-Phase Flow Production Data. SPE J. 8 (4): 328-340. SPE87336-PA. doi: 10.2118/87336-PA.
18. Gao, G. 2005. Data Integration and Uncertainty Evaluation for Large Scale Automatic History Matching Problems. Ph.D. thesis, University of Tulsa, Tulsa, Oklahoma.
19. 19. Floris, F.J.T., Bush, M.D., Cuypers, M., Roggero, F., and Syversveen, A-R. 2001. Methods for quantifying the uncertainty of production forecasts: A comparative study. Petroleum Geoscience 7 (Supplement, 1 May): 87-96 SPT Group for Russia and CIS. University of Bergen. petroleum engineering at the University of Tulsa. TUPREP University of Petroleum, China, petro- leum engineering and mathematics, TUPREP at the University of Tulsa, (Pubitemid 33743381)