LI Pei^a,b,DENG Zhongcheng^a,b,CHI Huiqiang^a,ZHAO Shanzhong^a,CAO Zhao^a,b

(a.School of Mining and Coal Engineering;b.Key Laboratory of Mining Engineering of Inner Mongolia， Inner Mongolia University of Science and Technology,Baotou 014010,China)

Abstract:A new method was presented by which kinetics functions were readily obtained from the grinding tests with multi-size feed.Zero order characteristics of fine grinding was verified and thus breakage function could be deduced by BII method.Selection function was inferred by non-linear programming based on the particle size distribution (PSD) evolution with time or input energy.Cooperated with milling power estimation,the population balance model predicted the milling performance,such as PSD,productivity,specific energy,etc.,which were affected by the PSD of feed,operating conditions and input energy.The results show that the method facilitates the study of fine grinding kinetics significantly,by which the variation of milling performance with operating conditions can be properly simulated.Moreover,the full-scale milling operation can be predicted based on small-scale tests,which will facilitate the grinding circuit design with detailed data.

Keywords:grinding kinetics;fine grinding;population balance model

中图分类号：TD951                              文献标志码：A

文章编号：1008-5548(2022)04-0025-11

DOI:10.13732/j.issn.1008-5548.2022.04.003

收稿日期： 2021-04-04， 修回日期：2022-03-29，在线出版时间：2022-06-22。

基金项目： 国家自然科学基金项目，编号：51764045；内蒙古自治区科技计划资助项目，编号：2019KJJH001。

第一作者简介： 李沛(1990—)，男，博士研究生，研究方向为粉碎理论与磨矿优化。E-mail：lp_mining@foxmail.com。

通信作者简介： 曹钊(1985—)，男，教授，博士，博士生导师，研究方向为复杂多金属选矿与选择性磨矿。E-mail：caozhao1217@163.com。