Analytical Calculation on Temperature Field of Tunnels in Cold Region by Laplace Integral Transform
Analytical Calculation on Temperature Field of Tunnels in Cold Region by Laplace Integral Transform
复制标题
DOI：
--
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Jiang Bin-song
中科院分区：
文献类型：
--
作者：
Jiang Bin-song
寒区低温对正在开挖或已经开挖的隧道有很大的危害，因此研究隧道温度场分布对防止隧道冻害具有重要作用。针对这一问题，建立了隧道温度场的分析模型，采用拉普拉斯变换方法，发展了隧道温度场的分析方法。通过变换，得到了隧道温度场的解析表达式，并对隧道温度场进行了数值模拟。结果表明，隧道温度场的解析表达式与实际温度场的解析表达式吻合较好。将问题从时域转化为拉普拉斯域;由于时间域的解在实际计算中比较困难，因此有必要采用stehfest反演方法对拉普拉斯拉普拉斯域的解进行数值反演，通过Stehfest法的误差检验，得出当循环级数N = 18时，误差在10-5~10-7之间，说明该方法是可靠的，最后通过风火山隧道的实例检验，所得结果与实际设计相吻合，为寒区工程设计提供了理论依据和计算方法。
The low temperature in cold region is quite harmful for the tunnels which are excavating or have been excavated.Therefore,the study on temperature field distribution of tunnel can play an im-portant role in frost damage prevention.In view of this problem,an analytical model was established,and Laplace transform method was adopted to develop the analytical method of temperature field on tunnel.By means of transformation,the problem was transformed from time domain to Laplace domain;and the solution in Laplace domain was obtained,then the solution in Laplace domain was inverse transformed to that in time domain.Because the solution in time domain is difficult for actual calcula-tion,it is necessary to carry on numerical inversion for the solution in Laplace domain by stehfest inver-sion method,to obtain the numerical solution in time domain.By error checking of stehfest method,it is obtained that when the cycle series N = 18,the error is about 10-5～10-7,suggesting that the method is reliable.Finally,based on the example checking of Fenghuo Mountain tunnel,the result obtained is identical with actual design,thus providing theory basis and calculation method for engineering design in cold region.