多层介质寒区公路隧道保温层厚度计算的一种解析方法

冯强; 蒋斌松

doi:10.11779/CJGE201410016

多层介质寒区公路隧道保温层厚度计算的一种解析方法 English Version

冯强^{1, 2},
蒋斌松¹

1. 中国矿业大学深部岩土力学与地下工程国家重点实验室,江苏徐州 221116;
2. 山东科技大学土木与建筑工程学院,山东青岛 266590

基金项目: 国家自然科学基金项目（51174196）; 国家自然科学基金青年基金项目(51309222); 江苏省自然科学基金青年基金项目（BK20130193）

详细信息

作者简介:
冯强(1985- ),男,山东乳山人,讲师,博士,主要从事岩石力学理论与工程研究。E-mail: fqcumt@163.com。

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出版历程
- 收稿日期: 2014-01-16
- 发布日期: 2014-10-19

Analytical method for insulation layer thickness of highway tunnels with multilayer dielectric in cold regions

FENG Qiang^{1, 2},
JIANG Bin-song¹

1. State Key Laboratory For Geomechanics and Deep Underground Engineering, China University of Mining & Technology, Xuzhou 221116, China;
2. School of Civil Engineering and Architecture, Shandong University of Science and Technology, Qingdao 266590, China

摘要

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。
- 寒区隧道 /
- 保温层厚度 /
- Laplace积分变换 /
- 温度场 /
- 解析解 /
- Den Iseger方法
Abstract: Yuximolegai tunnel at Tianshan Mountain of Xinjiang is built in a seasonal frozen region. The thickness of insulation layer needs to be determined against frozen damage. For the solution to this problem, a model is established. When the insulation layer has good effect and no phase change occurs, the Laplace integral transform is employed to solve the temperature field of cold-region tunnels. Compared with the stability and accuracy of the stehfest method, those of the Den Iseger method, which is based on the Gaussian quadrature rule and the fast Fourier transform, are better. Thus, this method is used to solve the inversion of Laplace transform. Based on the results of Yuximolegai tunnel, it is shown that the temperatures of the insulation layer, the linings and the surrounding rocks follow the law of simple harmonic vibration with air temperature. Since the temperature difference between the two edges of 5 cm-thick insulation layer attains 9.63℃, it can not protect the surrounding rock against frozen heave. If the tunnel needs to be protected well in design period, the thickness of insulation layer should be 27 cm at least. Based on the parameter analysis, although the influence of convective heat transfer coefficient on solid surface is large, the influence on thickness of the insulation layer is limited. The insulation layer should decrease with the increase of the annual mean temperature and increase with the safe time of tunnels. With the increase of ground temperature, the thickness of insulation layer reduces gradually. Finally, by analyzing the annual mean temperature and ground temperature, the relationship between this two factors and the thickness of insulation layer is established, which may provide the basis for the design of other tunnels in this region.
- cold-regional tunnel /
- insulation layer thickness /
- Laplace integral transform /
- temperature field /
- analytical solution /
- Den Iseger method

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参考文献(14)

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