非标准马蹄形断面水力计算研究

Hydraulic Calculation Study of Non-Standard Horseshoe-Shaped Cross-Sections

以滇中引水工程楚雄段-昆明段非标准马蹄形断面为研究对象,采用几何分割法对该马蹄形断面的水力要素进行了推理,推导出任意水深所对应水力要素表达式。同时,采用三分试算法计算了该断面正常水深,试算过程采用C#编程来实现。考虑到马蹄形断面正常水深计算的复杂性,采用拟合优化原理推导出正常水深的直接计算公式。计算结果表明:在该公式的适用范围内计算该断面正常水深的最大相对误差为0.496%,同时整个计算区间内89.3%以上计算点相对误差小于0.24%,精度相对较高,可以满足实际工程的需要。

This paper focuses on the analysis of the non-standard horseshoe-shaped section of the Chuxiong-Kunming segment of the Water Diversion Project in Central Yunan.It utilizes a geometric segmentation approach to deduce the hydraulic elements for this unique section,providing expressions for these elements at varying water depths.Additionally,it employs a three-part trial algorithm to calculate the normal water depth for the section,and this trial calculation process was facilitated by using C#programming.Recognizing the complexity of normal water depth calculations for such a section,a direct calculation formula for normal water depth is derived by using a fitting optimization principle.The results of the calculations reveal that within the applicable range of the formula,the maximum relative error in computing the normal water depth of the section is only 0.496%.Furthermore,over 89.3%of the calculated points within the entire calculation interval exhibit a relative error of less than 0.24%.These findings signify a relatively high level of precision in the calculations,demonstrating their suitability for meeting the requirements of actual projects.