马蹄形隧洞过水断面临界水深的简化计算方法

针对马蹄形隧洞过水断面临界水深计算方法比较繁琐等问题,依据优化拟合原理,以标准剩余差最小为目标函数,在工程适用参数范围内进行逼近拟合,提出一种简化计算方法。该方法近似公式的表达形式更加简单直观,不必分段和进行判别选取,实际计算仅借助计算器即可快速完成。算例分析及精度比较表明,该简化计算方法的拟合替代精度高于有关文献,最大拟合相对误差仅为0.58%,且拟合相对误差小于0.5%的点占总计算点数的95%以上,可以满足实际工程的设计精度要求。

Simplified Calculation Method of Critical Water Depth on the U-shaped Tunnel Water Passing Cross-section

Aiming at the problems of more complicated calculation method of U-shaped tunnel water passing cross section critical water depth,and the like,based on optimized fitting principle,standard residual difference minimum is used as objective function,approximation fitting is conducted in the parameter range applicable to project,and a simplified calculation method is proposed.The expression form of the method approximate to formula is more simple and intuitive without segmentation and discriminant selection,the actual calculation can be rapidly finished by the aid of calculator.Analysis of cases and accuracy comparison show that the fitting alternative precision of simplified calculation method is higher than relevant literature,the maximum fitting relative error is only 0.58%,the points with fitting relative error less than 0.58% account for 95% of total calculation points,which can completely meet the design accuracy requirements of the actual project.