Abstract
A mathematical model of the process of decomposition of gas hydrate during heat exposure is proposed and developed. Based on the proposed technological scheme and the corresponding theoretical model, the problem of the action of a heat source on a porous layer of finite length, initially saturated with methane hydrate, is considered. The task describes the heating and simultaneous extraction of gas into a combined well. According to the adopted scheme, a coolant in the form of hot water is supplied to the annular channel, and the internal well communicates with the formation and gas is produced there, which was formed during the hydrate decomposition as a result of thermal exposure. The influence of the temperature of the heat source on the evolution of thermal fields around the well, on the nature of the motion of the phase transition boundary, is studied, and the law of its motion is obtained. The heat consumption for heating the formation and the evolution of gas output over the considered time interval at various values of the heating temperature and pressure drop are analyzed. The dynamics of the gas mass flow rate and the energy efficiency of methane production at various values of the temperature difference between the reservoir and the fluid injected into the heat pipe are revealed. A quasistationary solution is obtained that corresponds to the case when a pressure is maintained in the well equal to the equilibrium value for the initial temperature of the gas hydrate formation. The dependence of the energy efficiency of the proposed method of gas production on the porosity of the formation is analyzed. It was established that with a twofold increase in the hydrate content of the formation, this value grows by about ten percent. The obtained solutions make it possible to determine the most favorable heat exposure regimes. Moreover, this solution is in good agreement with the numerical results obtained by a more general theoretical model.
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