信息熵理论在计算断面含沙量分布中的运用

Application of Information Entropy Theory to Study of Sediment Concentration Distribution in Open Cross Section

运用信息论中的最大熵原理导出悬沙颗粒所处位置高度y的概率密度函数p(y).由p(y)与相对含沙量的关系得出适合于断面任一垂线的含沙量分布公式,在此基础上结合边界及流速情况提出了便于工程运用的针对宽浅河槽及非宽浅河槽断面含沙量分布的计算方法,计算结果与实测结果吻合良好.

Based on the assumption that the position height above the river bed of a sediment parti-cai, y is random varialde, The probability distribution function, p(y) is obtained by use of the Meximan Entroipy principle, while the expression of suspended sediment concentration distribution in altitude is presented by means of the relationship between p(y) and sediment concentration s(y). A mathematical model and its algorithm for the suspended sediment concoutra-tion distribution calculation in wide-shallow as well as nonwide ?shallow river are developed in this paper. The model and algorithm here applied, the results are in fair agreement with the field measarment data of an irrigation channel in Yellow River basin and in YongZhi River which shows an encouraging perspective in their practical use.