Abstract This paper presents the development and validation of a full-time-scale semi-analytical bore field simulation model. The model allows for the simulation of bore fields comprised of arbitrarily positioned boreholes while accounting for both short-term transient thermal effects within the boreholes and long-term thermal interactions in the bore field. The g-function of the bore field, obtained from the finite line source solution, is corrected to account for the cylindrical geometry of the boreholes and coupled to a thermal resistances and capacitances model of the borehole interior, thereby extending the scope of g-functions to short time scales. Additionally, an improved load aggregation scheme for ground thermal response calculations allows the model to be used with variable simulation time steps. The complete model is validated using a combination of analytical, experimental and field monitored data to verify both its short-term and long-term behaviour. The model is implemented using the Modelica language as part of an implementation in the open-source buildings simulation library IBPSA.

中文翻译：

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用于垂直地热井场短期和长期模拟的全时间尺度半解析模型的开发和验证

摘要 本文介绍了全时间尺度半解析井场模拟模型的开发和验证。该模型允许模拟由任意定位的钻孔组成的钻孔场，同时考虑钻孔内的短期瞬态热效应和钻孔场中的长期热相互作用。从有限线源解中获得的钻孔场的 g 函数被修正以说明钻孔的圆柱几何形状并耦合到钻孔内部的热阻和电容模型，从而扩展了 g 函数的范围到短时间尺度。此外，用于地面热响应计算的改进负载聚合方案允许该模型与可变模拟时间步长一起使用。使用分析、实验和现场监测数据的组合来验证完整的模型，以验证其短期和长期行为。该模型是使用 Modelica 语言实现的，作为开源建筑模拟库 IBPSA 中实现的一部分。