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

在本文中，我们对一系列简化的气体输运模型进行了数值分析，这些模型具有地下、平衡和非平衡条件下的水合物形成和分解。这些模型足以模拟盆地和较短时间尺度上的水合物相变，但分析并未直接考虑水力特性演变的相关影响。据我们所知，这是对此类模型的首次分析。它是在保持压力溶液固定的同时为运输步骤进行的。我们将输运模型构建为具有非光滑空间依赖通量函数的守恒定律；动力学模型近似于这种平衡。我们证明了适用于正则化守恒定律的逆风方案的弱稳定性。我们说明模型，通过数值模拟确认收敛，