M.A. Tatang, Direct Incorporation of Uncertainty in Chemical and Environmental Engineering Systems, PhD Thesis, Dept. of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA (1995).
P. Sarma, L.J. Durlofsky and K. Aziz, Efficient closed-loop production optimization under uncertainty, in: SPE Paper 94241 Presented at the SPE Europec/EAGE Annual Conference, Madrid, Spain (2005).
J.D. Jansen, D.R. Brouwer, G. Naevdal and C.P.J.W. van Kruijsdiik, Closed-loop reservoir management, First Break 23 (2005) 43–48.
D.R. Brouwer, G. Naevdal, J.D. Jansen, E.H. Vefring and C.P.J.W. van Kruijsdiik, Improved reservoir management through optimal control and continuous model updating, in: SPE Paper 90149 Presented at the SPE Annual Technical Conference and Exhibition, Houston, TX (2004).
G. Naevdal, L.M. Johnsen, S.I. Aanonsen and E.H. Vefring, Reservoir monitoring and continuous model updating using ensemble Kalman filter, in: SPE Paper 84372 Presented at the SPE Annual Technical Conference and Exhibition, Denver, CO (2003).
X.H. Wen and W.H. Chen, Real time reservoir model updating using ensemble Kalman filter, in: SPE Paper 92991 Presented at the SPE Reservoir Simulation Symposium, Houston, TX (2005).
I. Aitokhuehi and L.J. Durlofsky, Optimizing the performance of smart wells in complex reservoirs using continuously updated geological models, J. Pet. Sci. Eng. 48 (2005) 254–264.CrossRef
J. Caers, The probability perturbation method: an alternative to traditional Bayesian approaches for solving inverse problems, presented at 9th European Conference on the Mathematics of Oil Recovery, Cannes, France (2004).
P.E. Gill, W. Murray and M. Wright, Practical Optimization (Academic Press, New York, 1982).
Z. Faithi and W.F. Ramirez, Optimization of an enhanced oil recovery process with boundary controls – a large scale nonlinear maximization, Presented at the 4th IFAC Symposium on Control of Distributed Parameter Systems, Los Angeles, CA (1985).
G. Mehos and W.F. Ramirez, Use of optimal control theory to optimize carbon dioxide miscible flooding enhanced oil recovery, J. Pet. Sci. Eng. (1989) 247–260.
W. Liu and W.F. Ramirez, Optimal control of three-dimensional steam flooding process, J. Pet. Sci. Eng. (1994) 137–154.
I.S. Zakirov, S.I. Aanonsen, E.S. Zakirov and B.M. Palatnik, Optimization of reservoir performance by automatic allocation of well rates, Presented at the 5th European Conference on the Mathematics of Oil Recovery, Leoben, Austria (1996).
H. Asheim, Maximization of water sweep efficiency by controlling production and injection rates, in: SPE Paper 18365 Presented at the SPE European Petroleum Conference, London, UK (1988).
G.A. Vironovsky, Waterflooding strategy design using optimal control theory, Presented at the 6th European IOR Symposium, Stavanger, Norway (1991).
B. Sudaryanto and Y.C. Yortsos, Optimization of displacements in porous media using rate control, in: SPE Paper 71509 Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, LA (2001).
D.R. Brouwer and J.D. Jansen, Dynamic optimization of water flooding with smart wells using optimal control theory, SPEJ. (Dec 2004) 391–402.
W.H. Chen, G.R. Gavalas, J.H. Seinfeld and M.L. Wasserman, A new algorithm for automatic history matching, SPEJ. 14 (1974) 593–608.
G.M. Chavent, M. Dupuy and P. Lemonnier, History matching by use of optimal control theory, SPEJ. 15 (1975) 74–86.
M.L. Wasserman, A.S. Emanuel and J.H. Seinfeld, Practical applications of optimal control theory to history-matching multiphase simulator models, in: SPE Paper 5020 Presented at the SPE–AIME Annual Fall Meeting, Houston, TX (1974).
A.T. Watson, J.H. Seinfeld, G.R. Gavalas and P.T. Woo, History matching in two-phase petroleum reservoirs, in: SPE Paper 8250 Presented at the SPE–AIME Annual Fall Technical Conference and Exhibition, Las Vegas, NV (1979).
Z. Wu, A.C. Reynolds and D.S. Oliver, Conditioning geostatistical models to two-phase production data, SPEJ. 4 (1999) 142–155.
R. Li, A.C. Reynolds and D.S. Oliver, History matching of three-phase flow production data, in: SPE Paper 66351 Presented at the SPE Reservoir Simulation Symposium, Houston, TX (2001).
Z. Wu and A. Datta-Gupta, Rapid history matching using a generalized travel time inversion method, in: SPE Paper 66352 Presented at the SPE Reservoir Simulation Symposium, Houston, TX (2001).
F. Zhang, J.A. Skjervheim, A.C. Reynolds and D.S. Oliver, Automatic history matching in a Bayesian framework, example applications, in: SPE Paper 84461 Presented at the SPE Annual Technical Conference and Exhibition, Denver, CO (2003).
G.R. Gavalas, P.C. Shah and J.H. Seinfeld, Reservoir history matching by Bayesian estimation, SPEJ. 16 (1976) 337–350.
D.S. Oliver, Multiple realizations of the permeability field from well test data, SPEJ. 1 (June 1996) 145–154.
A.C. Reynolds, N. He, L. Chu and D.S. Oliver, Reparameterization techniques for generating reservoir descriptions conditioned to variograms and well-test pressure data, SPEJ. 1 (Dec 1996) 413–426.
P. Sarma, K. Aziz and L.J. Durlofsky, Implementation of adjoint solution for optimal control of smart wells, in: SPE Paper 92864 Presented at the SPE Reservoir Simulation Symposium, Houston, TX (2005).
R.F. Stengel, Optimal Control and Estimation (Dover Publications, New York, 1985).
A. Tarantola, Inverse Problem Theory (Soc. Ind. Appl. Math., Philadelphia, 2005).
S.P. Huang, S.T. Quek and K.K. Phoon, Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes, Int. J. Numer. Methods Eng. 52 (2001) 1029–1043.CrossRefMATH
M. Loeve, Probability Theory I and II, 4th Edition (Springer-Verlag, New York, 1977).
J.K. Cullum, Lanczos Algorithms for Large Symmetric Eigenvalue Computations
(Birkhauser, Boston, 1985).MATH
S. Strebelle, Conditional simulation of complex geological structures using multiple-point statistics, Math. Geol. 34 (2002) 1–22.CrossRefMATHMathSciNet