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

Abstract EN

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.