1000－7598－(2003)增1―0001―08

随着地下工程的发展，对于埋置较深和地质环境较为复杂的隧道工程，高地温问题已经成为一个重要的工程问题并引起了国内外学者的广泛关注。研究隧道的温度场分布问题对于解决寒区隧道冻融问题、高温隧道问题、隧道火灾灾害等是十分必要的。针对高地温环境中的圆形隧道，假定其具有一定长度且承受轴对称的温度荷载和地应力作用，建立两端简支的二维稳态的热传导方程和平衡方程。利用无量纲化和微分方程级数求解的方法，得到了包含温度场、位移场及应力场的热弹性理论解。依据上述研究结果，以某包含衬砌的圆形断面隧道为例进行了热弹性分析，并得到了由于隧道开挖而引起的围岩的温度变化范围。研究所得结论可为隧道施工及运营过程中隧道的保温隔热提供重要的理论依据。

Elasticity solution for temperature and stress fields of tunnels with high geothermal temperature

With the development of underground engineering, high geothermal problem has become one kind of important engineering problem for deep tunnels and some tunnels with complicated geological environment. And it has attracted more and more attentions of scholars around the world. It is necessary to study the temperature distribution of the tunnel for solving the frost heaving problem of tunnels in cold regions, high geothermal temperature around the tunnel and the problem caused by tunnel fires. In this paper, a two-dimensional steady state thermo-elastic problem of tunnels is investigated by using theoretical method. The tunnel has a finite length. It is located in a high geothermal surrounding and subjected to axisymmetric temperature gradient due to excavation. The earth pressure is also considered in the analysis. The shape of the tunnel is assumed to be circle. Employing dimensionless and series solving methods of differential equations, analytical solutions of temperature, displacement and thermal/mechanical stresses have been obtained. Based on the present analysis, an illustrative example of tunnel containing the lining and the surrounding rock is numerically studied. And it is obtained the reasonable calculated thickness of the surrounding rock causing by the tunnel excavation. The conclusions provide an important theoretical basis for the thermal insulation in the tunnel construction and operation process.