The Use of Splitting with Respect to Physical Processes for Modeling the Dissociation of Gas Hydrates

Resumo

The work is devoted to modeling the phase transformations of gas hydrate inclusions in porous media. Studying these problems makes it possible to elaborate various technologies for the development of gas hydrate deposits. A two-block mathematical model of the dissociation of gas hydrates in a porous medium based on splitting with respect to physical processes is proposed and studied. An absolutely stable difference scheme is constructed and implemented in the spatially onedimensional case to numerically analyze the model. The water saturation, thawing, and the thermodynamic parameters (pressure and temperature) are calculated based on this difference scheme. An analysis of the data obtained by the calculations has confirmed the possibility of solving a number of typical problems of gas hydrate fluid dynamics using the above approach, including the problem of the complex dynamics of water and hydrate saturation of a formation.