基于矿石断裂能的半自磨机球径理论公式推导及验证  

Derivation and verification of the theoretical formula of ball diameter of SAG mill based on ore fracture energy

作　　者：肖庆飞[1] 李云啸 周强[1,2] 刘向阳 谢浩松 王国彬 王肖江 XIAO Qingfei;LI Yunxiao;ZHOU Qiang;LIU Xiangyang;XIE Haosong;WANG Guobin;WANG Xiaojiang(Faculty of Land Resources Engineering,Kunming University of Science and Technology,Kunming,Yunnan 650093,China;National Key Laboratory of Intelligent Optimization and Manufacturing of Mining and Metallurgical Process,Beijing 102628,China;State Key Laboratory of Mineral Processing Science and Technology,Beijing 102628,China;Sichuan Xinzhanwang Carbon Material Technology Group Co.,Ltd.,Bazhong,Sichuan 636000,China)

机构地区：[1]昆明理工大学国土资源工程学院,云南昆明650093 [2]矿冶过程智能优化制造全国重点实验室,北京102628 [3]矿物加工科学与技术国家重点实验室,北京102628 [4]四川鑫展望碳材科技集团有限公司,四川巴中636000

出　　处：《中国矿业大学学报》2024年第6期1237-1246,共10页Journal of China University of Mining & Technology

基　　金：国家自然科学基金项目(52374269);云南省基础研究计划面上项目(202201AT070766);矿物加工科学与技术国家重点实验室开放基金项目(BGRIMM-KJSKL-2023-09);矿冶过程智能优化制造全国重点实验室开放基金项目(BGRIMM-KZSKL-2022-1)。

摘　　要：为了减轻半自磨机顽石积累,基于Davis钢球运动理论推导出了适用于半自磨机(SAG)的球径理论公式,采用离散元法(DEM)模拟仿真试验及Tavares破碎模型模拟分析了钢球对矿石的破碎效果及能量利用率,并通过磨矿试验验证了公式的准确性.研究结果表明:相较于现场?120 mm钢球,采用?140 mm钢球下的Tavares破碎模型模拟中,粗矿块和顽石产率分别降低1.95%和1.70%,而细矿石产率提高3.06%;同时,能量利用率提高1.77%,钢球对顽石的有效累积冲击功率提高70.54%;此外,磨矿试验产品中+100 mm粗矿块和顽石产率分别降低17.02%和57.38%,-0.074 mm产率提高17.72%.通过数值模拟及磨矿试验验证了半自磨机球径理论公式的准确性,该公式可减轻顽石积累,优化磨矿效果.In order to reduce the accumulation of pebbles in SAG mill,the theoretical formula of ball diameter for SAG was derived based on the Davis ball motion theory,and the crushing effect and energy utilization rate of steel balls on ore were simulated and analyzed by the discrete element method(DEM)simulation tests and Tavares breakage model,simultaneously the accuracy of the formula was verified by batch grinding tests.The results show that compared with the 120 mm steel ball on site,the yields of the coarse fraction(+100 mm)and pebbles are decreased by 1.95%and 1.70%,respectively,while the yield of the fine fraction is increased by 3.06%,and the energy utilization rate is increased by 1.77%,besides the effective cumulative impact power of the steel balls on the pebbles is increased by 70.54%.The results of the batch grindings tests show that the yields of coarse fraction and pebbles in the ground product are decreased by 17.02%and 57.38%,respectively,and the yield of-0.074 mm is increased by 17.72%.The accuracy of the theoretical formula of ball diameter of the SAG mill is verified by numerical simulation and grinding tests,which can indeed reduce the accumulation of pebbles and optimize the grinding effect.

关 键 词：球径理论公式 半自磨机 矿石断裂能 顽石 破碎模型 

分 类 号：TD912[矿业工程—选矿]