When extracting oil from reservoirs, the use of active physical and chemical reagents in combination with high-frequency wave oscillations as control actions leads to an increase in the oil recovery factor due to the involvement in the process of displacement of reserves that cannot be recovered by traditional flooding (with the injection of water into injection wells). The article presents results of numerical experiments using a mathematical model of cylindrical waves in the direction of the filtration flow of fluids; the effectiveness of cyclic control wave influences is shown. Complex problems associated with the application of hydrodynamic methods to weakly discontinuous vibrations in an inhomogeneous medium are noted and ways to resolve these probltms are indicated. It is shown that the proposed combined methods of control influences on the process of filtration displacement of anomalous and difficult-to-recover oil fractions from oil-saturated porous media of natural deposits provide an increase in the final oil recovery factor by potentially 10–15%.