Currently, the use of gas methods to increase oil recovery is underexplored. However, the experience of applying these methods, both in Russia and abroad, indicates their high technological and economic efficiency. The article takes the first step towards substantiating the use of gas methods in the conditions of operational facilities in Bashkortostan. The goal of the research was to carry out a forecast of the results of gas exposure on hard-to-recover and residual oil reserves in Bashkortostan fields. The objectives of the research were the creation and adaptation of mathematical models of oil displacement for the conditions of productive objects and the fulfillment of the forecast for an increase in the production of residual oil reserves in the fields. The studies were carried out using models of filtering processes of multicomponent mixtures, a three-dimensional formulation of the problem and complex boundary conditions of polygon objects. The completeness of the generation of residual reserves was calculated. As a result of the research, a mathematical model of gas exposure to hard-torecover and residual oil reserves was adapted to the geological and field conditions of the Volga-Urals, which allowed for a reduction in the volume of calculations. The article presents the results of mathematical modeling of the process of displacing oil from the porous medium of the reservoir rocks of the fields of the Republic of Bashkortostan through the use of gas exposure.