Deposits of gas hydrates are considered by several researchers as a promising source of hydrocarbon raw materials. For their industrial use, it is necessary to solve a number of complex problems, including the creation and justification of methods for developing gas hydrate deposits.<br>
This paper describes the various methane extraction methods from gas hydrate formations: temperature increase in the formation; artificial pressure reduction at the boundary of the hydrate-containing deposit (depressive effect on porous medium); injection inhibitors and a method of substituting CO<sub>2</sub>-CH<sub>4</sub> in methane hydrate. In the plane-parallel approximation, the formulation of the problem of pumping a warm (with a temperature above the initial temperature of the formation) gas into a porous layer initially saturated with methane and its hydrate is presented. A mathematical model of non-isothermal gas filtration is proposed with allowance for the phase transition. A numerical study of how the volumetric flow of methane from the hydrate containing reservoir depends on the parameters of the injected coolant, the permeability, and initial hydration of the reservoir is carried out.