Energy piles are commonly deployed in vertically layered geological conditions due to the geological structure and pile foundation backfill. The imperfect contact between adjacent soil layers results in resistance to heat transfer at the interface, known as the interfacial thermal resistance effect. In this paper, the energy pile was simplified as a finite‐length solid cylindrical heat source, and an analytical model was established for layered heat transfer of energy piles considering the interfacial thermal resistance effect. The Laplace‐domain solutions to the temperatures in the layered ground were derived by using the finite Hankel and Laplace transforms. The Crump method was subsequently employed to numerically invert Laplace‐domain solutions to the time‐domain solutions. The proposed model was validated by comparing with an analytical solution of a homogeneous model and COMSOL numerical solution. These solutions were used to analyze the temperature response around energy piles considering interfacial thermal resistance. Finally, a parametric study was performed to explore the effects of interfacial thermal resistance and other thermal properties of the soil layer on the layered heat transfer of energy piles.

中文翻译：

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基于积分变换法的界面热阻层状土中能量桩周围传热的解析模型


由于地质结构和桩基回填，能源桩通常部署在垂直分层的地质条件下。相邻土层之间的不完美接触导致界面处的热传递阻力，称为界面热阻效应。本文将能量堆简化为有限长度的实心圆柱形热源，并建立了考虑界面热阻效应的能量桩分层传热解析模型。分层地面温度的拉普拉斯域解是通过使用有限 Hankel 和 Laplace 变换推导出来的。随后采用 Crump 方法将拉普拉斯域解数值反转为时域解。通过与齐次模型的解析解和 COMSOL 数值解进行比较，验证了所提出的模型。这些解决方案用于分析考虑界面热阻的能源堆周围的温度响应。最后，进行了参数研究，以探究土层的界面热阻和其他热特性对能源桩分层传热的影响。