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TECHNICAL PAPERS

Global Optimization of Gas Allocation to a Group of Wells in Artificial Lift Using Nonlinear Constrained Programming

[+] Author and Article Information
Gabriel A. Alarcón

Thermal Science Department, University of Los Andes, Mérida, 5101 Venezuela

Carlos F. Torres

Thermal Science Department, University of Los Andes, Mérida, 5101 Venezuela

Luis E. Gómez

Petroleum Engineering Department, University of Tulsa, Tulsa, OK 74104

J. Energy Resour. Technol 124(4), 262-268 (Nov 20, 2002) (7 pages) doi:10.1115/1.1488172 History: Received March 20, 2001; Revised April 26, 2002; Online November 20, 2002
Copyright © 2002 by ASME
Topics: Wells , Optimization , Lifts
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References

Mayhill, T. D., 1974, “Simplified Method for Gas Lift Well Problem Identification and Diagnosis,” Paper SPE 5151, SPE 49th Annual Fall Meeting, Houston, TX.
Kanu,  E., Mach,  J. M., and Brown,  K. E., 1981, “Economic Approach to Oil Production and Gas Allocation in Continuous Gas Lift,” JPT, J. Pet. Technol., 33, pp. 1887–1892.
Nishikiori,  N., Redner,  R. A., Doty,  D. R., and Schmidt,  Z., 1995, “An Improved Method for Gas Lift Allocation Optimization,” ASME J. Energy Resour. Technol., 117, pp. 87–92.
Buitrago, S., Rodrı́guez, E., and Espin, D., 1996, “Global Optimization Techniques in gas Allocation for Continuous Flow Gas Lift Systems,” SPE Paper 35616, Gas Technology Conference, Calgary, Canada.
Radden, J. D., Sherman, T. A. G., and Blann, J. R., 1974, “Optimizing Gas Lift Systems,” Paper SPE 5150 SPE 49th Annual Fall Meeting, Houston, TX.
Gómez, V., 1974, “Optimization of Continuous Flow Gas Lift Systems,” M. S. thesis, University of Tulsa, OK.
Hong, H. T., 1975, “Effect of Variables on Optimization of Continuous Gas Lift Systems,” M. S. thesis, University of Tulsa, OK.
Nakamura, S., 1991, Applied Numerical Methods With Software, Prentice Hall, New York, NY.
Nishikiori, N., 1989, “Gas Allocation Optimization for Continues Flow Gas Lift Systems,” M. S. thesis, University of Tulsa, OK.
Polak, E., 1997, Optimization: Algorithms and Consistent Approximations, Springer Verlag, New York, NY.
Schittowski,  K., 1985, “NLQPL: A FORTRAN-Subroutine Solving Constrained Nonlinear Programming Problems,” Ann. Operat. Res., 5, pp. 485–500.
Biggs, M. C., 1975, “Constrained Minimization Using Recursive Quadratic Programming, Towards Global Optimization,” Towards Global Optimization, L. C. W. Dixon and G. P. Szergo, eds., North-Holland, pp. 341–349.
Powell, M. J. D., 1978, “A Fast Algorithm for Nonlinearly Constrained Optimization Calculations,” Numerical Analysis, G. A. Watson, ed., Lect. Notes Math., 630 , Springer Verlag.
The MathWorks Inc., 1990, Optimization Toolbox User’s Guide, Version 4.2, The MathWorks, Inc., Natick.
Golan, M., and Whitson, C. H., 1991, Well Performance, Prentice Hall, 2nd Edition, Portland.

Figures

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Typical gas-lift performance curves, GLPC
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Type of the GLPC of a well depending on its response to gas injection
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Mathematical fit of proposed model against field injection data of Nishikiori 9
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Mathematical fit of second-degree polynomial against field injection data of Nishikiori 9
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Schematic of group of oil wells producing by gas lift 12
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Comparison between Nishikiori et al. 3 results and the proposed model for Gómez 6 data

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