Stability of a numerical scheme for methane transport in hydrate zone under equilibrium and non-equilibrium conditions

In this paper we carry out numerical analysis for a family of simplified gas transport models with hydrate formation and dissociation in subsurface, equilibrium non-equilibrium conditions. These are adequate simulation phase change at basin shorter time scales, but the does not account directly related effects evolving hydraulic properties. To our knowledge is first such model. It carried steps while keeping pressure solution fixed. We frame model as conservation law non-smooth space-dependent flux function; kinetic approximates equilibrium. prove weak stability upwind scheme applied to regularized law. illustrate model, confirm convergence simulations, its use some relevant scenarios.