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Numerical and finite element analysis of heat transfer in a closed loop geothermal system

机译:闭环地热系统中传热的数值和有限元分析

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摘要

Analysis of the thermal regime created by a geothermal borehole heat exchanger is performed using a closed form radial heat flow equation, a geothermal borehole heat exchanger design tool and a finite element model. Climatic, heat exchanger construction and building load data are entered into the heat exchanger design tool in order to create a theoretical model along with thermal parameters from a number of geological formations. Output data from the design tool model are used in conjunction with the closed form radial heat flow equation to calculate the predicted temperature with respect to time and distance from the heat exchanger for the modelled ground formations. The output data from the design tool is also used to create a number of finite element method models against which the predictions calculated using the closed form radial heat flow equation can be compared. A good correlation between the temperatures predicted by the finite element models and the closed form equation calculations is observed. However when used within its recommended limiting conditions, the closed form equation is shown to slightly underestimate the temperature of the ground when compared to the finite element model predictions. The limiting conditions associated with the closed form equation are discussed in the context of the output from the finite element method models.
机译:使用封闭形式的径向热流方程,地热钻孔换热器设计工具和有限元模型对地热钻孔换热器产生的热态进行分析。将气候,热交换器构造和建筑物载荷数据输入到热交换器设计工具中,以便创建理论模型以及来自多个地质构造的热参数。设计工具模型的输出数据与闭合形式的径向热流方程式结合使用,以计算建模的地层相对于时间和距热交换器的距离的预测温度。设计工具的输出数据还用于创建多个有限元方法模型,可以将这些模型与使用封闭形式径向热流方程计算的预测进行比较。观察到有限元模型预测的温度与闭合形式方程计算之间的良好相关性。但是,当在其建议的极限条件下使用时,与有限元模型预测相比,闭合形式方程显示出略微低估了地面的温度。在有限元方法模型的输出上下文中讨论了与闭合形式方程式相关的极限条件。

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