非标准马蹄形隧洞水力计算探讨

工程实际中，为优化马蹄形隧洞断面受力条件，常采用非标准型式的过水断面，但复杂的体型又会导致水力学计算非常困难。为解决这一工程难题，通过数学计算采用几何分割法和积分法推导出了两种非标准马蹄形断面任意水深对应的水力学要素解析式，并利用Excel等计算软件方便快捷地求出精确解析解。依托滇中引水工程，将推导的公式应用于非标准马蹄形隧洞断面水力要素拟定中，结果准确可靠，可为类似工程的水力学计算提供参考。

Discussion on hydraulic calculation for non-standard horseshoe tunnel

In engineering practice, non-standard cross section was widely used to optimize the hydraulic conditions of horseshoe tunnel section, but the complex geometric shape may lead to complicated hydraulic calculation. In order to solve this problem, the analytic formula of hydraulic elements corresponding to any water depth and two kinds of non-standard horseshoe-shaped sections were deduced by means of geometric segmentation and integral method. According to the derivation result, the exact analytical solution can be obtained conveniently and quickly by using the software such as Excel. Then, based on the water diversion project in central Yunnan Province, the derivation formula was applied to the hydraulic elements formulation of non-standard horseshoe tunnel section, and the results were accurate and reliable, which could provide reference for hydraulic calculation of similar projects.