Mass flow rate determination under reservoir conditions changing in the problem of gas extraction with hydrate plug formation

\nThe influence of changes of pressure and temperature of the reservoir bed on the process of formation and deposition of natural gas hydrates on the wall of a producing well is investigated in the computational experiment. The problem is summarized to the solution of differential equations describing the non-isothermal flow of real gas in a porous medium and in a well, considering the formation and deposition of gas hydrates, heat propagation in rocks with appropriate conjugation conditions. The gas withdrawal mode with constant wellhead pressure is studied. The algorithm of numerical solution of the inverse problem of determining the dynamics of gas mass flow rate is based on the method of half division. The comparison of the calculation results for cases when the pressure at the well bottom is: 1) changing with time in the process of gas withdrawal; 2) remaining constant. It is indicated that consideration of changes in reservoir conditions leads to a significant increase in the time of complete plugging of the well by gas hydrates and to reduction of accumulated gas production.\n