Mathematical modeling of dissociation of gas hydrates in porous medium taking into account ice and salt

Abstract

In the work, the method of splitting by physical processes is consistently applied to the problems of underground hydromechanics associated with gas hydrates and taking into account the presence of ice and the ice-water phase transition, as well as the presence of salt. The systems are reduced to the block form, with the separation of the dissipative and hyperbolic parts. It was shown by the method of characteristics that the usual approximation of the upwind coefficients should be modified here. Using the Gibbs phase rule, a choice was made of the determining variables in the flow zones that differ from each other in the number of phases and components. A general mathematical model has been built for the entire area of the process.