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在消能水力计算中常遇梯形明渠共轭水深的计算问题。本文根据梯形水平明渠水跃方程，通过二维优化拟合法给出了近似算式，与目前工程中采用的试算法、图解法相比，使求解工作简捷直观，成果精度足可满足工程设计要求，而且将变量区间由图解法的０．４≤α≤１．５、０≤Ｎ≤３．０扩大到０．４≤α≤１．８、０≤Ｎ≤５．０。
Calculation of conjugate water depth of trapezoidal channel in the calculation of energy dissipation. In this paper, according to the water jump equation of trapezoidal horizontal open channel, the approximate formula is given by two-dimensional optimization and fitting method. Compared with the trial calculation method and graphic method adopted in the present project, the solution work is simple and intuitive, and the accuracy of the results can meet the engineering design requirements. The variable interval is expanded from 0.4≤α≤1.5 and 0≤N≤3.0 in the graphic method to 0.4≤α≤1.8 and 0≤N≤5.0.