本文先将挟沙力公式的计算值和实测值进行标准化,然后将聚类统计的方法运用于挟沙力公式的检验。对挟沙力公式按其计算结果的点群趋势和数值的接近程度进行定量分类,最后根据类的优劣评价不同公式。该方法既实现了从定量上对公式的评价,又克服了因检验资料数值差异过大引起的误差。文中选取了6组高含沙水流挟沙力公式进行聚类统计,结果表明这6组公式可分为3类,第一类公式包括张红武公式,第二类包括窦国仁公式、舒安平公式,曹如轩公式和刘兴年公式;第三类公式包括刘峰公式,且第一类公式与不同水流条件的实测值符合得最好。
The quantitative comparison of formulas for calculating sediment carrying capacity suggested by different authors is difficult to carry out due to the scattering of experimental data. The clustering analysis method is introcuced to solve this problem. The calculation results and experimental data of each formula are standardized and unified to the same magnitude grade and then the clustering analysis is applied to verify the formulas. The formulas are classified according to their deviation from the experimental data and to be assessed based on the analysis on their advantages and disadvantages. The comparison of 6 formulas indicates that these formulas can be classified into three kinds with different levels. The formula suggested by ZHANG Hong-wu is the best, which deviation from experimental data obtained form various hydraulic conditions is comparative small.