黄河下游游荡性河道整治河弯流路方程

基于最小方差理论，对正弦派生曲线与河势流路的自然演变情况进行了对比分析．结果表明，正弦派生曲线基本可以反映天然河道自由发展河弯的河势变化形态，黄河下游游荡性河道整治的“模范河段”河弯布局与正弦派生曲线符合良好．在统计回归“模范河段”河弯布局参数的基础上，给出了正弦派生曲线中相关参数的表达式，提出了适合黄河下游游荡性河道河床演变自然规律的河弯流路基本方程．利用该方程检验了黄河下游游荡性河道整治未完善的柳园口至府君寺河段河道整治规划流路的可行性，为游荡性河道进一步整治提供了理论支撑．

Bend's Equation for River Channel Regulation of the Meandering Reach in the Lower Yellow River

Based on the minimum variance theory, comparison analysis was carded out between sine wave derived curves and river meandering processes. It is found that the curves can basically reflect changes in the layout of natural developing bends. The layout of the bends in the best trained reach of the meandering part of the lower Yellow River coincides with sine wave derived curves. Formulas for the parameters of the sine wave derived curves were given by analyzing the data of the best trained reach. A foundational governing equation for the layout of the meandering reach was developed, and used to test the feasibility of the planning layout of the Liuyuankou--Fujunsi reach to be trained. The study provides a firm theoretical support for the training of meandering river.