ANALYTICAL SOLUTION TO TEMPERATURE FIELDS OF TUNNEL IN COLD REGION CONSIDERING LINING AND INSULATION LAYER
XIA Caichu1,2,ZHANG Guozhu1,2,XIAO Suguang1,2
(1. Department of Geotechnical Engineering,Tongji University,Shanghai 200092,China;2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University,Shanghai 200092,China)
Abstract:The problem of time-dependent heat conduction for tunnel in cold region with nonhomogeneous outer boundary conduction is transformed into both transient heat conduction with convection boundary condition of air temperature changed with sinusoid and steady heat conduction. Using the separation of variables and Laplace transform technique can obtain analytical solution to temperature fields of tunnel with insulation layer in cold region. The analytical solutions of the annual mean temperature and temperature amplitude can be obtained by energy conservation and experiential method considering heat conduction/convection between the tunnel ground and the air flow in the tunnel. Temperature of lining varies with both tunnel depth and annual mean temperature linearly. When the annual mean temperature is below 0 ℃ and the tunnel depth is less than 80 m,5 cm thick insulation layer alone can not satisfy the anti-freezing requirements. As the increase in thickness of insulation layer,lining temperature presents an upward trend,but the growth rate has gradually decreased;when the thickness of insulation layer is more than 5 cm,the increase in the thickness of insulation to improve the lining temperature is not economical. The insulation thickness can be calculated by engineering analogy and analytical solution based on climate and terrain conditions with piecewise calculation. Accuracy of the analytical solution is examined by comparing the calculated results with measured results. It is found that the calculated values agree well with those measured in the field.
夏才初,张国柱,肖素光,. 考虑衬砌和隔热层的寒区隧道温度场解析解[J]. 岩石力学与工程学报, 2010, 29(09): 1767-1773.
XIA Caichu1,2,ZHANG Guozhu1,2,XIAO Suguang1,2. ANALYTICAL SOLUTION TO TEMPERATURE FIELDS OF TUNNEL IN COLD REGION CONSIDERING LINING AND INSULATION LAYER. , 2010, 29(09): 1767-1773.