Research on temperature field distribution of circular tunnel with high geo-temperature based on analytical solution
Compared with conventional tunnels,high-geothermal tunnels have a more complex structure in the radial direction during construction,so it is of great significance to study the temperature field of tunnel section to solve the problems related to high ground temperature in the tunnel.In this paper,a mathematical model of the temperature field of a circular tunnel section with high ground temperature is established in the form of polar coordinates,and the heat conduction problem is solved by the Laplace formula,and the analytical formula of the temperature field under the three-layer structure of lining-heat insulation-surrounding rock is obtained.Through MATLAB programming and calculation,the spatiotemporal evolution law of temperature field is obtained,and the corresponding numerical model is established to verify the reliability of the results.The results show that the temperatures of the lining and insulation layers change periodically when the atmospheric temperature inside the tunnel fluctuates,and the amplitude of the temperature field decreases gradually with the increase of the distance from the tunnel center.The temperature field is distributed in a ring,the temperature gradient at the insulation layer is the largest,and the temperature gradients of the lining and surrounding rock are smaller.The inner temperature of the lining is synchronized with the inner temperature of the insulation layer,while the outer temperature of the insulation layer fluctuates behind the inner temperature of the lining.The numerical model is consistent with the analytical solution of the outer temperature variation of the thermal insulation layer.
high ground temperaturetunneltemperature fieldnumerical modelanalytical solution
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