Completely conservative difference schemes for fluid dynamics in a piezoconductive medium with gas hydrate inclusions

The dynamics equations for a two-component fluid in a porous medium with gas hydrate inclusions are approximated on a structurally irregular difference grid. The case of a thermodynamically equilibrium model is considered. The support operator method is used to construct a family of completely conservative two-level difference schemes. The time approximation is based on expressions “weighted” according to grid time levels with weighting factors that generally vary in space. For a difference fluid dynamics problem, an algorithm based on splitting into physical processes is proposed.