Two-dimensional modeling of filtration in hydrate-containing formations taking into account gravity on irregular grids

The work is devoted to the application of irregular computational grids to problems of underground fluid dynamics in the presence of gas hydrates taking into account gravity. Discretization of filtration equations is carried out using the support operator method. The obtained algorithms are tested on the problem of gravitational differentiation of gas and water in a porous medium taking into account gas hydrates. One of the criteria used in testing is the horizontality of the gas-water contact in the stationary case. The calculations are divided into two stages. At the first stage, a regular rectangular grid is used, which makes it possible to check compliance with this criterion. At the second stage, calculations are carried out on an irregular grid for a system of heterogeneous layers of complex geometric structure corresponding to real geological structures. The results obtained correspond to the physics of the process. The approach can be used to study the migration of deep gas released during the dissociation of gas hydrates to the earth's surface.