Abstract
This paper considers a thermodynamically equilibrium coupled discrete model of two-component (H2O, CH4) three-phase (water, gas, hydrate) filtration fluid dynamics and two-phase processes in a melt zone with no gas hydrates, for which splitting into physical processes is performed. The purpose of the study is to construct a joint family of two-layer completely conservative difference schemes of the support operator method with space-time temporal scales in accordance with the proposed algorithm for splitting the equilibrium model into physical processes both in the melt zone and in a medium with gas-hydrate inclusions. The direct use of the studied system for determining the dynamics of variables and for constructing an implicit difference scheme required for the calculation of filtration processes with large time steps would present serious difficulties.
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