Abstract
In this paper, a study was conducted to determine the stability of productive formations when selecting liquid hydrocarbon reserves from them. Using mathematical modeling methods and various laws of fluid motion in a porous medium, the optimal conditioned pressure value has been established, at which the least destruction of the rock matrix will be observed. This area of research is relevant due to the fact that for the current situation, one of the most effective methods of increasing well productivity is hydraulic fracturing, which implies a significant impact on the stability of the borehole-rocks system. The obtained conclusions will make it possible to effectively plan geological and technical measures related to the impact on the rock matrix and will allow trouble-free operation of the complicated well stock.