Citation: | XIE Haosong, XIAO Qingfei, ZHANG Zhipeng, REN Yingdong. Optimization of Steel Ball Size and Discrete Element Simulation Analysis of a Semi-autogenous Grinding Gold Mine in Yunnan[J]. Conservation and Utilization of Mineral Resources, 2023, 43(1): 57-65. doi: 10.13779/j.cnki.issn1001-0076.2023.01.006 |
To address the problem of the serious accumulation of hard rock (-80+25 mm) in semi-autogenous grinding mill of a gold mine in Yunnan, The theoretical optimum size of steel ball was calculated by Duan's semi-theoretical formula of ball diameter which was based on the determination of mechanical properties and particle size of ore feed. The grinding cycle test was carried out with the steel ball size as a single variable, and grinding effect was verified by discrete element simulation analysis. The results showed that the average platts hardness of the ore is relatively large, which is medium to hard, and there are relatively large brittleness and toughness at the same time. The recommended Φ140 mm scheme had the lowest tendency to accumulate hard rock during the grinding cycle test. After 4 cycles, the hard rock yield was the lowest at 3.89%, 3.50 percentage points lower than the on-site Φ120 mm scheme, while the −2 mm pass grade and −0.074 mm grade yield were the highest, 8.40 and 3.15 percentage points higher than the on-site Φ120 mm scheme respectively. The recommended Φ140mm scheme was more active than the on-site Φ120 mm scheme in terms of hard rock particle motion, more reasonable collision energy distribution, and higher energy consumption and frequency of high-energy collision for single collision of hard rock by the media. The effectiveness of the recommended Φ140 mm scheme for semi-autogenous grinding to reduce hard rock accumulation was verified from grinding tests and discrete element simulation tests.
[1] | 段希祥, 肖庆飞. 碎矿与磨矿[M]. 北京: 冶金工业出版社, 2012. DUAN X X, XIAO Q F. Ore crushing and grinding [M]. Beijing: Metallurgical Industry Press, 2012.8 |
[2] | 黄治国, 方启学, 任翔, 等. 全自磨半自磨磨矿技术[M]. 北京: 冶金工业出版社, 2018 HUANG Z G, FANG Q X, REN X et al. Full autogenous grinding and semi-autogenous grinding technology [M]. Beijing: Metallurgical Industry Press, 2018. |
[3] | 宗路, 李旭, 蔡改贫, 等. 基于响应曲面法的半自磨机磨矿能耗研究[J]. 化工矿物与加工, 2018, 47(4): 18−21+53. doi: 10.16283/j.cnki.hgkwyjg.2018.04.006 ZONG L, LI X, CAI G P, et al. Study on energy consumption of semi-autogenous mill grinding based on response surface method[J]. Chemical Minerals and Processing, 2018, 47(4): 18−21+53. doi: 10.16283/j.cnki.hgkwyjg.2018.04.006 |
[4] | 尹自信. 球磨机铁矿石颗粒破碎及粒度分布行为研究[D]. 徐州: 中国矿业大学, 2020. YIN Z X. Study of iron ore particle crushing and particle size distribution behavior in ball mill[D]. Xuzhou: China University of Mining and Technology, 2020. |
[5] | 赵元, 马华庆, 赵永志. 研磨介质形状对球磨机特性影响的DEM模拟研究[J]. 矿山机械, 2020, 48(5): 38−45. ZHAO Y, MA H Q, ZHAO Y Z. DEM simulation study on the effect of grinding media shape on ball mill characteristics[J]. Mining Machinery, 2020, 48(5): 38−45. |
[6] | YU X P, XU N, ZHEN C Z, et al. Friction and wear of liner and grinding ball in iron ore ball mill[J]. Tribology International, 2017, 115: 506-517. |
[7] | CLEARY P W, DELANEY G W, SINNOTT M D, et al. Inclusion of incremental damage breakage of particles and slurry rheology into a particle scale multiphase model of a SAG mill[J]. Minerals Engineering, 2018, 128: 92−105. doi: 10.1016/j.mineng.2018.08.026 |
[8] | CLEARY P W, MORRISON R D, DELANEY G W. Incremental damage and particle size reduction in a pilot SAG mill: DEM breakage method extension and validation[J]. Minerals Engineering, 2018, 128: 56−68. doi: 10.1016/j.mineng.2018.08.021 |
[9] | CLEARY P W, MORRISON R D. Understanding fine ore breakage in a laboratory scale ball mill using DEM[J]. Minerals Engineering, 2011, 24: 352−366. doi: 10.1016/j.mineng.2010.12.013 |
[10] | 乔文存, 姬建钢, 董节功, 等. 半自磨流程的优化措施研究[J]. 矿山机械, 2014, 42(7): 91−96. doi: 10.16816/j.cnki.ksjx.2014.07.024 QIAO W C, JI J G, DONG J G, et al. Research on optimization measures of semi-autogenous grinding process[J]. Mining & Processing Machinery, 2014, 42(7): 91−96. doi: 10.16816/j.cnki.ksjx.2014.07.024 |
[11] | WANG M H, YANG R Y, YU A B. DEM investigation of energy distribution and particle breakage in tumbling ball mills[J]. Powder Technology, 2012, 223: 83−91. doi: 10.1016/j.powtec.2011.07.024 |
[12] | WEERASEKARA N S, POWELL M S, CLEARY P W, et al. The contribution of DEM to the science of comminution[J]. Powder Technology, 2013, 248: 3−24. doi: 10.1016/j.powtec.2013.05.032 |
[13] | 付开进. 大型半自磨机磨矿性能仿真及参数优化[D]. 长春: 吉林大学, 2016. FU K J. Grinding performance simulation and parameter optimization of large semi-self-grinding mill [D]. Changchun: Jilin University, 2016. |
[14] | WEERASEKARA N S, LIU L X, POWELL M S. Estimating energy in grinding using DEM modelling[J]. Minerals Engineering, 2016, 85: 23−33. doi: 10.1016/j.mineng.2015.10.013 |
[15] | 曲迪, 刘万华, 杨玉巍, 等. 基于离散元的半自磨机运行参数研究[J]. 矿业研究与开发, 2016, 36(2): 96−99. doi: 10.13827/j.cnki.kyyk.2016.02.022 QU D, LIU W H, YANG Y W, et al. Research on operation parameters of semi-autogenous mill based on discrete element[J]. Mining Research and Development, 2016, 36(2): 96−99. doi: 10.13827/j.cnki.kyyk.2016.02.022 |
[16] | RODRIGUEZ V A, CARVALHO R M D, TAVARES L M. Insights into advanced ball mill modelling through discrete element simulations, Minerals Engineering, 2018, 127: 48-60. |
[17] | 张谦, 肖庆飞, 王旭东, 等. 改善新疆某铜镍矿半自磨机顽石积累[J]. 过程工程学报, 2020, 20(9): 1089−1096. doi: 10.12034/j.issn.1009-606X.219347 ZHANG Q, XIAO Q F, WANG X D, et al. Improvement of refractory rock accumulation in a semi-autocycle mill in Xinjiang[J]. Chinese Journal of Process Engineering, 2020, 20(9): 1089−1096. doi: 10.12034/j.issn.1009-606X.219347 |
[18] | 武煜凯, 肖庆飞, 高志勇. 多级配球降低半自磨中顽石积累及改善磨矿效果试验[J]. 稀有金属, 2022, 46(5): 673−680. doi: 10.13373/j.cnki.cjrm.XY20120018 WU Y K, XIAO Q F, GAO Z Y. Experimental study on reducing the accumulation of refractory stones in semi-autogenous grinding and improving the grinding effect[J]. Rare Metals, 2022, 46(5): 673−680. doi: 10.13373/j.cnki.cjrm.XY20120018 |
[19] | 王肖江. 基于离散元法的武山铜矿半自磨介质优化研究[D]. 昆明: 昆明理工大学, 2017. WANG X J. Research on medium optimization of semi-autogenous grinding in Wushan opper mine based on discrete element method [D]. Kunming: Kunming University of Science and Technology, 2017. |
[20] | 王俊. 基于离散单元法的半自磨机工作性能研究[D]. 赣州: 江西理工大学, 2015. WANG J. Research on performance of semi-autogenous mill based on discrete element method [D]. Ganzhou: Jiangxi University of Science and Technology, 2015. |
[21] | 何智文. 黄金选矿厂湿式半自磨机磨矿效率提升方法分析与实施[D]. 济南: 山东大学, 2018. HE Z W. Analysis and implementation of grinding efficiency improvement method of wet semi-autogenous mill in gold concentrator [D]. Jinan: Shandong University, 2018. |
Flow diagram of grinding and classification process
The yield of hard rock (−80+25 mm) in products with four grinding cycles
The yield of qualified particle size (−2 mm) in products with four grinding cycles
The yield of −0.074 mm particle size in products with four grinding cycles
Comprehensive comparison of grinding product after four grinding cycle
Cylinder model of semi-autogenous grinding mill
The geometry of cylinder liner
Ore particle model
Motion state of particle in Φ120 mm scheme
Motion state of Particle in Φ140 mm scheme
Number of hard rock in the dropping area of Φ120 mm scheme
Number of hard rock in the dropping area of Φ140 mm scheme
Energy distribution of different collision types in semi-autogenous mill
Cumulative energy distribution of collision between media and rock in Φ120 mm scheme
Cumulative energy distribution of collision between media and rock in Φ140 mm scheme