二维粒子分布均匀度测算方法研究

Study on the measuring and calculating method for the 2-dimensional homogeneity of particles distribution

本文对定量表达平面上粒子分布均匀程度的测算方法进行了研究,提出了形态定量中二维粒子分布均匀度的新概念,并导出相应计算公式中为二维粒子均匀度,SDd为平面上任意两个相邻粒子间间距(d)的标准差,X为d的均值,CV为d的变异系数,此外还相应提出了误差大小计算公式和控制方法,对二维粒子分布均匀度的意义及有关问题进行了讨论。

Abstruct A measuring and calculating method for the quantitative expression of homogeneous degree of particales distribution on plane was studied. The concept of 2—dimonsuonal homogeneity of particles distribution (ε_2) which is a new concept in the morphometry was put forward and the formula has been deduced, i. e.: ε_2= 1- CV= 1- (SDd/ X) , In the the formula SDd means the standard deviation of distance between any two particles which are neighbour (d) on the plane of section, Xrepresents the mean of d and CV denotes the coefficient of variation. Formulas for errors estimate and control were given also. The significance and some problems about the method were discussed.