目前，主要隧道围岩传热计算方法缺乏对含衬砌围岩的传热过程进行研究，根据导热微分方程和傅里叶定律，尝试建立无衬砌层和有衬砌层2种条件下的围岩一维稳态传热解析算法，分析围岩导热系数（λy）、岩壁与空气换热系数（hy）、隧道当量半径（rw）、调热圈半径（ro）、围岩初始温度（to）隧道内空气温度（tf）等参数对隧道内壁的温度（tw）的影响规律。研究表明： 1）无衬砌环境下，各个因素对tw的敏感度从大到小依次为tf、to、λy、hy、rw、ro; 2)调热圈半径对tw的影响非常小，设定为100 m和3
000 m时引起的tw变化不超过12%； 3）相比无衬砌层，衬砌层外壁温度小幅升高，衬砌层内壁温度小幅下降，原因是衬砌层的导热系数λc低于λy； 4）增加隔热层有利于降低隧道内壁温度，采用导热系数为0.025 W/（m·℃），厚度为11
cm的聚氨酯隔热层，可降低隧道内壁温度10%以上； 5）增加隔热层厚度对降低隔热层内壁温度的边际效应是递减的。
It is found that the main heat transfer calculation
methods of tunnel surrounding rock cannot demonstrate the heat transfer process
of surrounding rock with lining. Based on the heat conduction differential
equation and Fourier′s law, the analytical algorithm of
onedimensional steady heat transfer of surrounding
rock with and without lining layer are established, the influence of six
parameters on inner wall temperature of tunnel tw are analyzed, i.e.〖ＫＧ－４〗, thermal conductivity of surrounding rock λy , heat transfer coefficient between rock wall, and air hc, equivalent radius of tunnel rw, radius of heat regulating circle ro, initial temperature of surrounding
rock to and air temperature
in tunnel tf. The results
show that: (1) The sensitivity degree of each factor to tw are tf, to, λy, hy, rw, and ro , in an order from large to small. (2) The effect of ro on tw is very little; when ro is set at 100 m and 3 000 m, the change of tw is less than 12%. (3)Compared with the
nonlining layer, the outer wall temperature of lining
layer increases slightly, while the inner wall temperature of the lining layer
decreases slightly as the thermal conductivity of lining layer λc is lower than that of surrounding rock. (4) The use of thermal
insulation layer is helpful to the decrease in temperature of tunnel inner
wall; if the heat transfer coefficient is 0.025 W/(m·℃)
and the thickness of thermal insulation layer is 11 cm, the temperature of
tunnel inner wall can be reduced by more than 10%. (5) The marginal effect of
insulation layer thickness on inner wall temperature decreases with its
thickness.
