提出一种用于解决圆柱形岩石巷道轴对称问题和确定其周围瞬时温度场的数学模型和算法,该方法的显著特征是在岩巷内沿与大气的接触面上引入空气热边界层。通过计算位于俄罗斯远东多年冻土区某实际岩体的融化深度,对该算法及模型进行了验证。研究结果表明:该方法计算所得岩层融化深度取决于隧道衬砌外侧的隔热层厚度,同时还给出了双侧开挖施工后沿隧道长度方向上岩体融化深度的计算结果。 A mathematical model and algorithm for solving the axisymmetric problem of cylindrical rock roadway and determining the instantaneous temperature field around the rock tunnel are presented. The remarkable feature of this method is the introduction of air-thermal boundary layer along the contact surface with the atmosphere in the rock roadway. The algorithm and model are validated by calculating the melting depth of a real rock mass in the permafrost region of Russia’s Far East. The results show that the calculated depth of fusion depends on the thickness of the insulation layer on the outside of the tunnel lining and the calculation results of the depth of the rock mass along the length of the tunnel after excavation.