Experimental Study on Optimization of Grinding Medium Ratio in a Copper Mine Based on Grinding Kinetics
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摘要:
针对云南某铜矿磨矿介质配比m(Φ80)∶m(Φ60) =50∶50与球磨机给矿力学性质及粒度不匹配，导致磨矿细度及中间易选粒级产率偏低等问题，基于磨矿动力学原理可得到磨矿介质推荐配比m(Φ70)∶m(Φ60)∶m(Φ50)∶ m(Φ40) =15∶30∶10∶45。对比试验结果表明，推荐配比与现场配比相比，磨矿前期（4 min），+0.3 mm粒级物料产率提高1.01百分点，0.3～0.074 mm粒级产率降低7.88百分点；磨矿细度（−0.074 mm）在12 min时达到79.85%，且中间易选粒级与过粉碎粒级产率分别提高3.44、1.79百分点。最终推荐选厂选择基于磨矿动力学原理所得介质配比 m(Φ70)∶m(Φ60)∶m(Φ50)∶m(Φ40) =15∶30∶10∶45。
Abstract:In view of the problem of ore grinding fineness and intermediate easy-to-separate particle grades yield caused by the mismatch between the grinding medium ratio m(Φ80)∶m(Φ60)=50∶50 and the grinding feed mechanical properties and particle size distribution in a copper mine in Yunnan, the recommended grinding medium ratio m(Φ70)∶m(Φ60)∶m(Φ50)∶m(Φ40)=15∶30∶10∶45 can be obtained based on the grinding kinetics principle. Comparative test results showed that compared with the on-site ratio, in the early stage of grinding (4 min), the yield of material particles larger than 0.3 mm increased by 1.01 percentage points, while the yield of particles in the range of 0.3 to 0.074 mm decreased by 7.88 percentage points. The grinding fineness (less than 0.074 mm) reached 79.85 percentage at 12 min, and the yield of intermediate easy-to-separate particle grade and over-pulverized particle grade were increased by 3.44 and 1.79 percentage points, respectively. Finally, the recommended medium ratio of the grinding media was m(Φ70)∶m(Φ60)∶m(Φ50)∶m(Φ40)=15∶30∶10∶45 for the selection of the beneficiation plant based on the grinding kinetics principle.
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Key words:
- grinding dynamics /
- grinding medium ratio /
- copper mine
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表 1 球磨机总给矿正累积粒度分布
Table 1. Positive cumulative particle size distribution of ball mill total feed
粒级/mm +15 +12 +2 +0.15 +0.074 皮带给矿/% 0.51 7.73 68.85 89.72 93.69 螺旋分级机返砂/% 0 0 0.42 34.64 72.88 
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表 2 磨矿动力学参数m值
Table 2. Grinding kinetic parameter m value
粒级/mm 80 70 60 50 40 +8 1.96 1.12 0.75 0.81 0.78 0.45～8 1.56 1.26 0.74 0.74 0.75 0.3～0.45 1.28 1.39 0.95 0.75 0.72 0.15～0.2 1.06 1.48 1.22 0.76 0.62
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表 3 磨矿动力学参数lnk值
Table 3. Grinding kinetic parameter lnk value
粒级/mm 80 70 60 50 40 +8 −3.16 −1.56 −1.57 −1.98 −2.18 0.45～8 −2.73 −1.98 −1.35 −1.62 −1.88 0.3～0.45 −2.42 −2.35 −1.69 −1.47 −1.64 0.15～0.2 −1.97 −2.61 −2.20 −1.44 −1.29
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表 4 各粒级最佳球径
Table 4. The best ball diameter of each particle size
粒级/mm +8 0.45～8 0.3～0.45 0.15～0.2 球径/mm 70 60 50 40
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表 5 球磨机初装球配比方案
Table 5. Proportion scheme of ball mill initially loaded
级别/mm 配矿
产率/%扣除−0.15mm后
待磨产率γ待/%各组适宜
球径/mm推荐
球比/%+8 8.83 13.00 70 15 0.45～ 20.22 29.74 60 30 0.3～0.45 8.09 11.90 50 10 0.15～0.3 30.84 45.36 40 45 −0.15 32.02 − − − 合计 100.00 100.00 − 100.00
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表 6 磨矿介质对比方案
Table 6. Comparison scheme of grinding media
配比名称 配比内容/% 平均球径/mm 推荐配比 m(Φ70)∶m(Φ60)∶m(Φ50)∶m(Φ40) =15∶30∶10∶45 51.5 选厂配比 m(Φ80)∶m(Φ60) =50∶50 70.0
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