Numerical research of oil extraction control problem for a mathematical model of two-phase three-component filtration

A formulation of the optimal oil extraction control problem according to the technological criterion of solution quality is suggested. The process of oil extraction in a laminated layer is described by an averaged model of two-phase three-component filtration using the Buckley–Leverett scheme. Reservoir characteristics can change along coordinate axes. The comparison between the basic technological parameters of oil production, obtained with and without regard to optimal regulation for three variants of absolute permeability distribution in a waterflooding element is made. For all the variants, the best technological parameters of oil extraction are obtained using optimal control.