Abstract
We consider the optimal stabilization problem for delivered gas and gaslift operation debit for oil wells. Under certain natural assumptions, the general problem reduces to a linear-quadratic control problem that lets us find program controls and trajectories on which we further construct the optimal controller with respect to all phase coordinates and a (debit) part of them in both continuous and discrete case. For a special case, numerical results are illustrated with graphs that let us use this method in oilfield practice.
Similar content being viewed by others
References
Charnyi, I.A., Neustanovivsheesya dvizhenie real’noi zhidkosti v trubakh (Unstable Motion of Real Liquids in Pipes), Moscow: Gostekhizdat, 1951.
Shurov, V.I., Tekhnologiya i tekhnika dobychi nefti (Technology and Technics of Oli Mining), Moscow: Nedra, 1983.
Aliev, F.A., Il’yasov, M.Kh., and Dzhamalbekov, M.A., Modeling the Operation of a Gaslift Well, Dokl. Nat. Akad. Nauk Azerb., 2008, no. 4, pp. 30–41.
Aliev, F.A. and Mutallimov, M.M., An Algorithm for Solving the Problem of Constructing Program Trajectory and Control for Gaslift Oil Mining, Dokl. Nat. Akad. Nauk Azerb., 2009, no. 5, pp. 9–18.
Larin, V.B., Upravlenie shagayushchimi apparatami (Controlling Walking Apparata), Kiev: Naukova Dumka, 1988.
Chernousko, F.L., Optimization Progressive Motions for Multibody Systems, Appl. Comput. Math., 2008, vol. 7, no. 2, pp. 168–178.
Lur’e, K.A., Optimal’noe upravlenie v zadachakh matematicheskoi fiziki (Optimal Control in Problems of Mathematical Physics), Moscow: Nauka, 1975.
Kwakernaak, H. and Sivan, R., Linear Optimal Control Systems, New York: Wiley, 1972. Translated under the title Lineinye optimal’nye sistemy upravleniya, Moscow: Mir, 1977.
Aliev, F.A., Niftiyev, A.A., and Zeynalov, J.I., Optimal Synthesis Problem for the Fuzzy Systems in Semi-Infinite Interval, Appl. Comput. Math., 2011, vol. 10, no. 1, pp. 97–105.
Ulyanov, S.V. and Mishin, A.A., Self-Organization Robust Knowledge Base Design for Fuzzy Controllers in Unpredicted Control Situations based on Quantum Fuzzy Inference, Appl. Comput. Math., 2011, vol. 10, no. 1, pp. 164–174.
Ezzati, R., Approximate Symmetric Least Square Solutions of General Fuzzy Linear Systems, Appl. Comput. Math., 2010, vol. 9, no. 2, pp. 220–225.
Tsurkov, V.I., Dinamicheskie zadachi bol’shoi razmernosti (High-dimensional Dynamical Problems), Moscow: Nauka, 1988.
Bashlykov, A.M., Optimal Control Models for Rotating Solid Bodies with Liquid Insides, Mechatronics, Automation, Control, 2007, no. 11, pp. 24–30.
Aliev, F.A. and Larin, V.B., Optimization of Linear Control Systems, London: Gordon and Breach, 1998.
Aliev, F.A., Mutallimov, M.M., et al., Asymptotic Method of Solution for a Problem of Construction of Optimal Gas-lift Process Modes, Math. Probl. Eng., 2010, vol. 2010, Article ID 191053.
Mutallimov, M.M., Askerov, I.M., Ismailov, N.A., et al., An Asymptotical Method to Construction a Digital Optimal Regime for the Gaslift Process, Appl. Comput. Math., 2010, vol. 9, no. 1, pp. 77–84.
Aliev, F.A., Il’yasov, M.Kh., and Nuriev, N.B., Mathematical Modeling, Optimization, and Control Problems for the Gaslift Method, Dokl. Nat. Akad. Nauk Azerb., 2009, no. 2, pp. 43–57.
Bryson, A.E., Jr. and Ho Yu-Chi, Applied Optimal Control: Optimization, Estimation, and Control, Waltham: Blaisdell, 1969. Translated under the title Prikladnaya teoriya optimal’nogo upravleniya, Moscow: Mir, 1972.
Aliev, F.A., Mardanov, M.D., and Velieva, N.I., An Algorithm for Solving the Synthesis Problem for an Optimal Stabilization System with respect to Output Variable, Eng. Simul., 1996, vol. 13, pp. 625–634.
Aliev, F.A., Ismailov, N.A., et al., An Algorithm for Constructing Optimal Digital Controllers for Gaslift Oil Mining, Dokl. Nat. Akad. Nauk Azerb., 2010, no. 4, pp. 39–45.
Author information
Authors and Affiliations
Additional information
Original Russian Text © F.A. Aliev, M.M. Mutallimov, N.A. Ismailov, M.F. Radzhabov, 2012, published in Avtomatika i Telemekhanika, 2012, No. 8, pp. 3–15.
Rights and permissions
About this article
Cite this article
Aliev, F.A., Mutallimov, M.M., Ismailov, N.A. et al. Algorithms for constructing optimal controllers for gaslift operation. Autom Remote Control 73, 1279–1289 (2012). https://doi.org/10.1134/S0005117912080012
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117912080012