The problems of motion of fluids, gases and gas–liquid mixtures in pipes related to gas-lift oil recovery are mathematically formulated as systems of nonlinear hyperbolic partial differential equations. Optimal-control problems are posed based on the proposed models and some real assumptions. These problems can be used to design programmed paths and controls, which underlie the controllers that stabilize the pressure or volume of injected gas. That the mathematical models agree with available field and laboratory data is demonstrated by examples
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Translated from Prikladnaya Mekhanika, Vol. 46, No. 6, pp. 113–122, June 2010.
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Aliev, F.A., Il’yasov, M.K. & Nuriev, N.B. Problems of modeling and optimal stabilization of the gas-lift process. Int Appl Mech 46, 709–717 (2010). https://doi.org/10.1007/s10778-010-0359-4
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DOI: https://doi.org/10.1007/s10778-010-0359-4