Numerical Modeling Gas Hydrate Processes in Porous Medium Taking into Account Gravity on Irregular Grids

The work is devoted to modeling the movement of liquid and gas in a porous medium containing gas hydrate, taking into account the force of gravity. Taking gravity into account is necessary to study a number of problems associated with the rise of gas during the decomposition of gas hydrates. Such problems include studying the causes of large-scale gas flows from the ocean floor, studying the degree of influence of gas hydrates on geology and ecology, and determining the optimal methods for developing gas hydrate deposits. For numerical modeling of filtration problems in formations of complex geological and lithological structure, the support operator method is used, which makes it possible to carry out calculations on irregular grids, allowing for a detailed approximation of curved heterogeneous formations. The developed algorithms are tested on the problem of gravitational differentiation of gas and water in a porous medium taking into account gas hydrates. Analysis of the calculation results showed that the method can be used to solve problems of gas hydrate fluid dynamics in complex reservoir systems considering gravity.