Development of low-order controllers for high-order reservoir models and smart wells

Proceedings - SPE Annual Technical Conference and Exhibition

Volumn 2, Issue , 2006, Pages 1326-1332

  Gildin, E ^a   Klie, H ^b   Rodriguez, A ^b   Wheeler, M F ^b   Bishop, R H ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b SPE

Author keywords

[No Author keywords available]

Indexed keywords

DATA ACQUISITION; DECISION MAKING; FEEDBACK CONTROL; MATHEMATICAL MODELS; PETROLEUM INDUSTRY; PROBLEM SOLVING;

HYDROCARBON EXTRACTION; KRYLOV SUBSPACE PROJECTION (KSP); PROPER ORTHOGONAL DECOMPOSITION (POD); RESERVOIR MANAGEMENT;

PETROLEUM RESERVOIRS;

EID: 33751009649     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2118/102214-ms     Document Type: Conference Paper

References (19)

1. Aziz, K., and Settari, A.: "Petroleum Reservoir Simulation", Elsevier Applied Science Publishers (1986).
2. Peaceman, D.W.: "Fundamentals of Numerical Reservoir Simulation", Elsevier Applied Scientific Publishing Company (1977).
3. Saputelli, L., Nokolaou, M. and Economides, M.J: "Self-Learning Reservoir Management", paper SPE 84064, SPE Journal on Reservoir Evaluation & Engineering, Vol. 8, No. 6, December (2005).
4. th. Edition, Prentice Hall (2004).
5. Brouwer, D.R, et al: "Improved Reservoir Management Through Optimal Control and Continuous Model Updating", paper SPE 90149 presented at the SPE Annual Technical Conference and Exhibition, Houston, TX, USA, September 26-29 (2004).
6. th. European Petroleum Conference, Abderdeen, Scotland, UK, October 29-31 (2002).
7. th. European Conference of the Mathematics of Oil Recovery, Amsterdam, The Netherlands, September 4-7, (2006).
8. Van Doren, J., Markovinovic, R. and Cansen, J.D.: "Reduced-Order Optimal Control of Waterflooding Using POD", IX ECMOR, Cannes, France, (2004).
9. Heijn, T., Markovinovic, R.and Jansen, J.D.: "Generation of Low-Order Reservoir Models Using System-Theoretical Concepts", SPE Journal (June 2004), 9, No. 2
10. Antoulas A.C.: "Approximation of Large-Scale Dynamical Systems", SIAM Press, (2005).
11. Zhou, K., Doyle, J. C., and Glover, K.: "Robust and Optimal Contror, Englewood Cliffs, NJ, Prentice Hall, (1996).
12. Anderson, B.D.O, and Liu, Y.: "Controller Reduction: Concepts and Approaches", IEEE Trans. On Automatic Control, Vol. AC-34, No. 8, pp. 802-812, August, (1989).
13. Lall, S., Marsden J., and Glavaski, S.: "Empirical Model Reduction of Controlled Nonlinear Systems", Proceedings of the IFAC World Congress, Vol. F, Beijing, pp.473-478, (1999).
14. Rowley, C.W.: "Model Reduction for Fluids, Using Balanced Proper Orthogonal Decomposition", International Journal of Bifurcation and Chaos, Vol. 15, No. 3 (2005).
15. Wilcox, K. and Peraire, J.: "Balanced Model Reduction via the Proper Orthogonal Decomposition", AIAA Journal, Vol. 40, No. 11 (2002).
16. Varga, A.: "Enhanced Modal Approach for Model Reduction", Mathematical Modelling of Systems 1:91-105 (1995).
17. Grimme, E.J,: "Krylov Projection Methods for Model Reduction", Ph.D. Thesis, ECE Dept. U. of Illinois, Urbana-Champaign, (1997).
18. Fukunaga, K.: "Introduction to Statistical Recognition", Academic Press, New York (1990).
19. Hinze, M. and Volkwein, S.: "Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control", In P. Benner, G. Golub, V. Mehrmann, and D.C. Sorensen, editors, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, Springer-Verlag, Berlm/Heidelberg, Vol. 45, (2005).