Stability of a numerical scheme for methane transport in hydrate zone under equilibrium and non-equilibrium conditions
Stability of a numerical scheme for methane transport in hydrate zone under equilibrium and non-equilibrium conditions
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DOI：
10.1007/s10596-021-10053-2
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发表时间：
2021-03
影响因子：
2.5
通讯作者：
M. Peszynska;Choah Shin
中科院分区：
文献类型：
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作者：
M. Peszynska;Choah Shin
本文对一类考虑地下水合物生成和分解的简化天然气输运模型进行了数值分析。这些模型是足够的水合物相变在盆地和较短的时间尺度上的模拟，但分析不直接考虑不断变化的水力特性的相关影响。据我们所知，这是第一次分析这样一个模型。在保持压力溶液固定的情况下进行运输步骤。我们框架的运输模型作为守恒定律与非光滑的空间依赖性通量函数，动力学模型近似于这个平衡。证明了正则化守恒律迎风格式的弱稳定性。我们说明了模型，确认收敛与数值模拟，并说明其使用一些相关的平衡和非平衡的情况。
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.