单排管冻土帷幕平均温度非定等效截面计算方法

摘要

冻土帷幕平均温度,直接反映冻土帷幕强度等指标.巴霍尔金单排管冻结温度场公式很好地吻合了交圈之后的冻土帷幕温度场.基于该解析解导出的冻土帷幕平均温度计算方法有巴霍尔金等效三角形法及其修正方法(等效梯形法和等效三角形法),这些方法都是用某一固定横截面上的平均温度等效整体冻土帷幕平均温度,在一定程度上忽略了不同工况下各参数的差异,存在一定误差.文中通过对单排管冻土帷幕平均温度积分公式进行数学理论分析,采用非固定等效截面的平均温度等效整体冻土帷幕平均温度,得出了适应冻土帷幕各种可能的参数变化并误差更小的平均温度计算方法.%Average temperature of the frozen soil wall directly indicates its strength parameters.Bakholdin's analytical solution for temperature field under linear single-row-pipe freezing favorably matches the real condition after closure of the ice columns.Based on this analytical solution are calculation approaches of Bakholdin's equivalent triangle method and its correction method (equivalent trapezoid method and equivalent triangle method).These methods are equivalent to the average temperature of a fixed cross-section of the average frozen soil curtain average temperature,to a certain extent,ignore the different conditions of the difference between the parameters,there is a certain error.In order to improve the accuracy of average temperature achieved by the aforementioned methods,some mathematical analysis on the integral formula for average temperature is conducted in this paper,using the average temperature of the unconsolidated equivalent section,the average temperature of the whole frozen soil curtain is obtained.This method is suitable for possible engineering parameters of frozen soil wall and provides higher accuracy.