Analytical solution of the problem of hydrate formation in a porous medium with a temperature jump at the phase transition front

The results of theoretical study of the methane hydrate formation during the hydrocarbon gas injection into a porous reservoir initially saturated with methane and water are presented. In the axisymmetric approximation, mathematical model with a stepwise temperature distribution in the reservoir is considered. For this case, an approximate analytical solution is constructed with a temperature jump at the gas hydrate formation front in the form of an explicit functional dependence of the self-similar coordinate of this boundary on the parameters of a porous medium and an injected gas.