A fluid dynamics model for a porous media, containing gas hydrate deposits

We consider a system of mass and energy balances describing the dynamics of fluids in a porous media containing gas and gas hydrate deposits. On the basis of this system we derive an equation for a process of hydrates dissipation which allows to study a "thermodynamic" evolution of parameters characterizing the deposit consisting of gas and gas hydrates. We affirm a defining role of jumps in the specific volumes and internal energy during phase transformations affecting the stability of the deposit evolution with respect to dissipative-thermodynamic processes. According to this theory a number of model problems is formulated and studied in numerical experiments.