A new method is presented to evaluate thermal interactions between vertical geothermal boreholes. The finite line source (FLS) solution is extended to consider thermal interactions between groups of boreholes. Groups of boreholes that share similar temperatures and heat extraction rates are identified using hierarchical agglomerative clustering, and each group is represented in the model as a single equivalent borehole. Each equivalent borehole is split into segments, and temporal and spatial superposition of the FLS solution are employed to calculate the total temperature change along the length of the equivalent boreholes. The new method is shown to provide an accurate calculation of the g-function, with a mean absolute percentage error below 0.612% on the g-functions of regular borefields of up to 144 boreholes using only 3 to 5 equivalent boreholes. Calculation times are significantly reduced: the g-function of a borefield of 1024 randomly positioned boreholes is calculated in 3.65 s.

提出了一种评估垂直地热钻孔之间热相互作用的新方法。有限线源 (FLS) 解决方案扩展到考虑钻孔组之间的热相互作用。使用分层凝聚聚类识别具有相似温度和热提取率的钻孔组，并且每组在模型中表示为单个等效钻孔。每个等效钻孔被分割成段，并利用 FLS 解的时空叠加来计算沿等效钻孔长度的总温度变化。示出了新的方法，以提供准确的计算克-function，平均绝对误差百分比低于0.612％的克- 仅使用 3 到 5 个等效钻孔即可实现多达 144 个钻孔的常规钻孔场的功能。计算时间显着减少：在 3.65 秒内计算出 1024 个随机定位钻孔的钻孔场的g函数。