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将隧道取热段的热交换管,视为不断从围岩中提取热量的线热源,建立包含热交换管布设位置、热交换管换热量和系统工作状态的线热源数学表达式,建立考虑衬砌和保温层的隧道取热段热传导方程,利用叠加原理、拉普拉斯变换和积分变换相结合的方法,求解隧道取热段温度场的理论解。建立热交换管内流体传热方程,根据热交换管外围岩温度场,利用迭代法计算热交换管内流体的温度场。利用有限元法计算隧道取热段温度场。
Considering the heat transfer tube in the heat extraction section of the tunnel as a linear heat source for continuously extracting heat from the surrounding rock, a mathematic expression of linear heat source including the location of the heat exchange tube, the heat exchange capacity of the heat exchange tube and the working state of the system is established, Tunnel and heat insulation layer tunnel heat transfer equation of heat transfer, the use of superposition principle, Laplace transform and integral transform method to solve the theoretical solution of the temperature field of the tunnel heat extraction section. Based on the temperature field of the external rock of the heat exchange tube, the fluid heat transfer field is calculated by the iterative method. Finite Element Method for Calculating Temperature Field of Heat Fetch Section in Tunnel.