Asymptotic Method of Solution for a Problem of Construction of Optimal Gas-Lift Process Modes

Fikrat A. Aliev, Mutallim M. Mutallimov, Idrak M. Askerov and Iouldouz S. Raguimov

Mathematical Problems in Engineering, 2010, vol. 2010, 1-11

Abstract:

Mathematical model in oil extraction by gas-lift method for the case when the reciprocal value of well's depth represents a small parameter is considered. Problem of optimal mode construction (i.e., construction of optimal program trajectories and controls) is reduced to the linear-quadratic optimal control problem with a small parameter. Analytic formulae for determining the solutions at the first-order approximation with respect to the small parameter are obtained. Comparison of the obtained results with known ones on a specific example is provided, which makes it, in particular, possible to use obtained results in realizations of oil extraction problems by gas-lift method.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:191053

DOI: 10.1155/2010/191053

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