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针对河道床面形态存在自相似性的特点,采用分形布朗运动数学模型模拟了不同起伏度和复杂度的概化地形曲面。按一定间距在曲面上提取断面数据,采用断面法计算曲面与某参考面之间的体积。将该体积计算值与理论值的差值同床面分形维数及其起伏程度进行相关性分析,结果表明,利用断面法得到的河道槽蓄量计算误差与床面形态有关。相对误差与描述地形复杂度的分维数呈指数递增,与描述起伏程度的均方差之间呈线性递增。
According to the characteristics of the self-similarity of river bed surface morphology, the fractal Brownian motion mathematical model is used to simulate the generalized terrain surface with different relief and complexity. According to a certain distance in the curved surface extraction section data, using cross-section method to calculate the volume between the surface and a reference surface. Correlation analysis of the difference between the calculated value and the theoretical value was carried out with the fractal dimension of the bed and the degree of its undulation. The results show that the error of calculation of the channel flume obtained by the section method is related to the shape of the bed. Relative error and description The fractal dimension of terrain complexity increases exponentially and increases linearly with the mean square error of describing the degree of fluctuation.