Abstract

Based on the methods and equations of the mechanics of multiphase media, a mathematical model of gas injection into a reservoir saturated with gas and ice has been built. The formation of gas hydrate in an extended area and melting of ice are taken into account. Considered problem is reduced to solving the problem of finding three moving boundaries of phase transitions. Self-similar solutions of the problem are obtained that describe the distribution of parameters (temperature, pressure, saturations of phases) in the reservoir.

中文翻译：

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天然气水合物形成和冰融化向油藏注气过程的数学建模

摘要

基于多相介质力学方法和方程，建立了气冰饱和储层注气数学模型。考虑到在扩展区域形成天然气水合物和冰的融化。考虑的问题被简化为解决寻找相变的三个移动边界的问题。获得了该问题的自相似解，该解描述了储层中参数（温度、压力、相饱和度）的分布。