The paper presents a mathematical model of dissociation of methane hydrate during thermal exposure to a porous layer. The problem of the impact of a heat source (hot fluid) on a porous reservoir of finite length, initially saturated with methane hydrate, is considered. The temperature distributions in the system are constructed at different points in time. The influence of the temperature of the heat source on the nature of the movement of the phase transition boundary is investigated.

The article summarizes the results of numerical monitoring of the decomposition of gas hydrates in a high frequency electromagnetic field. The results of the numerical experience of the decay process are summarized. In addition, the distribution of temperature and pressure is presented, but in addition, the relationship with the coefficient of permeability. In this article, the features of decomposition of methane hydrate under the influence of microwave radiation are studied. It is shown that the values of temperature and pressure in the reservoir decrease with time and distance from the source of microwave radiation. The dependence of the expansion front coordinate on time for different values of the permeability coefficient is presented.

The paper considers the problem of dissociation of methane gas hydrate saturating a porous medium of finite extent under the action of an external radiation source. The mathematical model includes the equations of continuity, heat inflow, and Darcy’s law, and is supplemented by the conditions of mass and heat balance on the discontinuity surface. In this case, we consider the case when the left boundary of a porous system is impervious to gas and heat flows, and the power of the source depends inversely on the coordinate of the phase transition front. Based on a computational algorithm developed using the method of catching the front in the grid node, the influence of the initial parameters of the reservoir on the maximum temperatures and pressures implemented in the system is studied. The influence of the power of the radiation source and the volume content of gas hydrate in the system on the intensity of its decomposition is also considered.

In the work in a flat-one-dimensional formulation, a mathematical model and the results of modeling the combustion process of a gas hydrate as a result of its ignition with a mixture of methane and an oxidizer are presented. It was assumed that the rate constant of a chemical reaction depends on temperature according to the Arrhenius law. The solution was carried out by a numerical method based on the method of catching the phase transition front into the nodes of the spatial grid. On the basis of the obtained solutions, the distributions of the main parameters of the system, as well as the dependences of the highest temperature of the gas mixture and the rate of decomposition on time, were constructed.

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