标准门洞形过水断面临界水深的简化计算

标准门洞形过水断面临界水深计算需完成超越方程的求解,针对目前图表法、试算法及近似法存在的问题,采用优化拟合的方法,以标准剩余差最小为目标函数,在工程实用参数范围内,经拟合分析及计算获得了表达形式更加简单直观、常数及系数项数字位数最少、便于记忆及实际应用、计算精度满足设计要求(最大误差为0.57%)的近似公式,具有一定的实用价值.

Simplified Computation of Critical Water Depth of Standard Door-shaped Waterway Tunnel

The calculation of critical depth of standard door-shaped water section must solve a transcendental equation. For the exsited problems involved in the chart method, trial method and approximate method so far, the optimized fitting method is adopted with mini- mum standard remaining difference as the target function. Within the range of applicable parameters of the works, fitting analysis and calculation is carried out to obtain an approximate formula. Its expression form is more simple and intuitive, and the number digit of its constants and coefficients is the least. Furthermore, it is easy to be in memory and practical application and its calculation accuracy meets design requirements （the maximum error is 0.57% ） , so it has some practical value.