直线双排管冻结壁平均温度的等效抛物弓形模型

在双排管冻结壁温度场的巴霍尔金（Бахолдин）解析解和考虑地层实际冻结温度时该解的修正解的基础上，建立了一种双排管冻结壁的平均温度解析计算模型--等效抛物弓形模型。该模型以冻结壁某一横截面厚度上的等效抛物弓形法计算的平均温度来等效整体冻结壁的平均温度。在实际工程中可能出现的冻结管平面布置参数变化范围内全面考察了冻结壁平均温度等效抛物弓形计算结果与依据巴霍尔金解析解数值积分计算结果的误差以及误差规律。结果表明，等效抛物弓形计算的冻结壁平均温度误差较小，具有足够的工程精度。

Equivalent parabolic arch method of average temperature calculation for straight double-row-pipe frozen soil wall

A new method of calculating the average temperature of double-row-pipe frozen soil wall was proposed.This new method,namely the equivalent parabolic arch method,is based on the Bakholdin(Бахолдин) analytical solution of the temperature field for the double-row-pipe frozen soil wall and a modified solution considering the actual freezing temperature of the soil.The average temperature of the whole frozen wall was presented by the average temperature along thickness on a certain cross section and this temperature was calculated by the equivalent parabolic arch method.Within the possible range of the freezing pipe layout parameters for the practical engineering conditions,a comprehensive error analysis was carried out comparing the average temperature calculated by the equivalent parabolic arch method with that calculated by numerical integration of the Bakholdin analytical solution.The results demonstrate that the average temperature produced by the equivalent parabolic arch method bears favorable accuracy for engineering practice.