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现代矿业 ›› 2023, Vol. 39 ›› Issue (02): 139-142.

• 矿物加工工程 • 上一篇    下一篇

粒度分布曲线一致性的评价方法综述

李琛1 郭静怡2 左蔚然2   

  1. 1. 金川镍钴研究设计院;2. 福州大学紫金地质与矿业学院
  • 出版日期:2023-02-25 发布日期:2023-05-10

Review on Evaluation Methods for Consistency of Particle Size Distribution Curve

LI Chen1 GUO Jingyi2 ZUO Weiran2   

  1. 1. Jinchuan Nickel Cobalt Research & Design Institute Co.,Ltd.; 2. Zijin School of Geology and Mining,Fuzhou University
  • Online:2023-02-25 Published:2023-05-10

摘要: 在矿物加工破碎中,粒度分布曲线被广泛用于表征矿石的破碎特性,为完善不同破 碎条件下得出的粒度分布曲线之间的一致性研究,利用各距离公式、检验公式及相关系数等方法 对实际粒度分布曲线与理论粒度分布曲线之间的一致性程度进行量化,分析和比较各方法的优缺 点,并分析在粒度分布曲线中运用的可行性。在距离公式中,最小一乘法计算复杂但结果直观且 具稳定性;最小二乘法方法简单但易受异常值影响;弗雷歇距离从曲线本身所具特点入手量化整 体的差异。在检验公式中,K-S 检验弥补了卡方检验受样本数量约束的不足,而A-D 检验在K-S 检验的基础上增大了后部数据的权重,使其在结果分析中更灵敏。

关键词: 破碎, 粒度分布曲线, 曲线一致性, 评价方法

Abstract: In the crushing of mineral processing,the particle size distribution curve has been widely used to characterize the crushing characteristics of ore. In order to complete research about curve consistency for particle size distribution curve in the different crushing condition,several methods such as distance formula,test formula and correlation coefficient are introduced to quantified the consistency degree between actual particle size distribution curve and theory particle size distribution curve. The advantages and disadvantages of each method are analyzed and compared,as well as the use feasibility in the particle size distri⁃ bution curve. In the distance formula,the least absolute deviation method is complex,but the results are intuitive and stable.The least squares method is simple but vulnerable to outliers. Fréchet distance quantifies the overall difference from the characteristics of the curve. In the test formula,K-S test makes up for the deficiency of chi-square test which is restricted by the number of samples,while A-D test increases the weight of the rear data on the basis of K-S test,which makes it more sensitive in the result analysis.

Key words: breakage, particle size distribution curve, curve consistency, evaluation method