Abstract

The development of a mathematical model of the filtration flow during dissociation of gas hydrates for the two-dimensional case is researched considering the motion of both components of the gas hydrate (water and gas). Non-isothermal effects and the gas being not ideal while filtering liquid and gas are considered; the hydrate dissociation process is assumed to be in equilibrium. A method is developed for solving the system of equations of the mathematical model using an implicit difference scheme, tridiagonal matrix algorithm and simple iterations, as well as a developed method for calculating hydrate saturation. This method allows to find the spatial distributions of the main parameters of the gas-liquid filtration flow (temperature, pressure and phases saturations) for each moment in time, as well as position of the boundary of phase transitions.

中文翻译：

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解决气体水合物分解过程中非等温气液过滤流动问题的数学模型和方法

摘要

考虑到气体水合物的两种组分（水和气体）的运动，研究了二维情况下气体水合物分解过程中过滤流的数学模型的发展。过滤液体和气体时考虑非等温效应和气体不理想；假设水合物分解过程处于平衡状态。开发了一种使用隐式差分格式、三对角矩阵算法和简单迭代求解数学模型方程组的方法，以及一种计算水合物饱和度的开发方法。该方法允许及时找到气液过滤流的主要参数（温度、压力和相饱和度）的空间分布，