The paper is devoted to the numerical simulation of oil recovery process using the technologies of polymer flooding and surfactants. The simulation is performed on the basis of the finite element method as well as the special scheme of flow balancing and phase flows between the cells, which along with high accuracy of pressure approximation, ensures the conservation of mass of filtering mixture components. The possibilities of simulation of different mechanisms of interaction of injected compositions with a medium are presented. The results of numerical simulation of different reservoir stimulations are shown using the digital model of the high-viscosity oil field in Tatarstan. It is shown that the application of polymer flooding and surfactant-polymer solutions makes it possible to increase the oil fraction in the produced fluid and, consequently, enhance the oil recovery.