This paper discusses axi-symmetric flow during CO injection into a non-adiabatic reservoir accounting for Joule-Thomson cooling and steady-state heat exchange between the reservoir and the adjacent layers by Newton's law. An exact solution for this 1D problem is derived and a new method for model validation by comparison with quasi 2D analytical heat-conductivity solution is developed. The temperature profile obtained by the analytical solution shows a temperature decrease to a minimum value, followed by a sharp increase to initial reservoir temperature on the temperature front. The temperature distribution head of the front is determined by the initial reservoir temperature, while the solution behind the front is determined by the temperature of injected CO. The analytical model exhibits stabilisation of the temperature profile and the cooled zone. The explicit formula for temperature distributions allows determining the maximum injection rate that avoids hydrate formation.

中文翻译：

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CO2 储存过程中热交换焦耳-汤姆逊冷却的分析模型


本文讨论了将 CO 注入非绝热储层期间的轴对称流动，通过牛顿定律解释了储层与相邻层之间的焦耳-汤姆逊冷却和稳态热交换。推导了该一维问题的精确解，并通过与准二维解析热导解进行比较，开发了一种新的模型验证方法。由解析解获得的温度剖面显示温度下降到最小值，然后在温度前沿急剧上升到初始储层温度。前缘的温度分布水头由初始储层温度决定，而前缘后面的解由注入CO的温度决定。分析模型表现出温度剖面和冷却区的稳定性。温度分布的明确公式可以确定避免水合物形成的最大注入速率。