多层介质寒区公路隧道保温层厚度计算的一种解析方法

发布时间：2018-04-01 04:13

  本文选题：寒区隧道　切入点：保温层厚度　出处：《岩土工程学报》2014年10期

【摘要】：新疆天山的玉希莫勒盖隧道处于高海拔季节性冻土地区,为防止冻害的发生,需要对所需保温层厚度进行研究。针对这一问题建立计算模型,采用Laplace积分变换的方法得到了由于保温作用而没有相变发生时寒区隧道温度场的解析分析方法;通过与stehfest方法对比分析,基于高斯正交法则和快速Fourier变换的Den Iseger方法具有更好的稳定性和准确性,采用该数值反演方法进行Laplace逆变换的求解。根据对玉希莫勒盖隧道的分析表明,保温层、衬砌与围岩中的温度都随着大气温度呈简谐振动;现场采用的5 cm厚保温层内外温差达9.63℃,不能保证该隧道围岩不发生冻胀现象;要保证其在设计年限内不发生冻胀所需要的最小保温层厚度为27 cm;通过对相关物理参数的分析表明:对流换热系数对固体介质的表面温度的最值影响较大,但对保温层厚度的影响较小;随着年平均气温的升高所需保温层的厚度越小,保证的安全年限越长,厚度也越大;随着地层温度的升高,所需保温层厚度逐渐减小;最后对年平均气温和地层温度的不同组合情况进行拟合分析,得出保温层厚度与这两因素的相关关系,可为该地区其他隧道的设计提供参考。
[Abstract]:The Yuximolegi Tunnel in Tianshan Mountain Xinjiang is located in the seasonal frozen soil area at high altitude. In order to prevent the occurrence of freezing damage the thickness of the required insulation layer should be studied.In order to solve this problem, the analytical analysis method of tunnel temperature field in cold region is obtained by using Laplace integral transformation method, which is compared with stehfest method.The Den Iseger method based on Gao Si's orthogonal rule and fast Fourier transform has better stability and accuracy. The numerical inversion method is used to solve the inverse Laplace transform.According to the analysis of the Yuximolegai tunnel, the temperature of the insulation layer, lining and surrounding rock is simple and harmonic with the atmospheric temperature, and the difference between the inside and outside temperature of the 5 cm thick insulation layer is 9.63 鈩，

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