Study on the effect of microwave pretreatment on the grinding characteristics of vanadium titanium-magnetite based on grinding kinetics
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摘要: 对微波预处理前后钒钛磁铁矿进行不同磨矿时间的分批磨矿试验，建立了微波预处理前后钒钛磁铁矿的m阶磨矿动力学模型，分析了矿石粒度与磨矿时间对磨矿速度的影响。在磨矿初期，微裂纹数量是影响磨矿速度的主要因素，在磨矿中后期，磨矿概率成为影响磨矿速度的主要因素。微波预处理后粗粒级矿石（−3.350~+1.700 mm）的磨矿速度远高于未处理矿石，而细粒级矿石（−0.057~+0.045 mm）的磨矿速度变化很小。采用微波热力辅助钒钛磁铁矿磨矿有益于改善磨矿产品的粒度组成，从而提高选别效率及精矿质量。Abstract: Batch grinding experiments of vanadium titanium-magnetite (VTM) with different grinding times before and after microwave treatment were carried out. The m-order grinding kinetics model of untreated and microwave treated VTM was established, and the effects of particle size and grinding time on the grinding speed were analyzed. In the initial stage of grinding, the number of microcracks was the main factor affecting the grinding speed. While in the middle and later stages of grinding, the grinding probability became the main factor affecting the grinding speed. The grinding speed of the coarse-grained (−3.350~+1.700 mm) ore after microwave pretreatment was much higher than that of the untreated ore, while the grinding speed of fine-grained (−0.057~+0.045 mm) ore changed slightly. Microwave assisted grinding of VTM is beneficial to improving the particle size composition of the grinding products, thus improving the separation efficiency and the concentrate quality.
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Key words:
- vanadium titano-magnetite /
- microwave pretreatment /
- grinding kinetics /
- grinding speed
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图 1 粗粒级矿石磨矿速度曲线
Figure 1. Grinding speed curve of coarse particle size ore
(a) −3.350~+1.700 mm；(b) −1.700~+1.180 mm；(c) −1.180~+0.850 mm
图 2 中间粒级矿石磨矿速度曲线
Figure 2. Grinding speed curve of middle particle size ore
(a) −0.850~+0.425 mm；(b) −0.425~+0.180 mm；(c) −0.180~+0.105 mm
图 3 细粒级矿石磨矿速度曲线
Figure 3. Grinding speed curves of the fine particle size ore
(a) −0.105~+0.075 mm；(b) −0.075~+0.057 mm；(c) −0.057~+0.045 mm
表 1 磨矿产品的粒度分布
Table 1. Particle size distribution of ground products
粒度 / mm 未处理矿石/% 微波预处理后矿石/% 0.5 min 1 min 2 min 3 min 5 min 7 min 0.5 min 1 min 2 min 3 min 5 min 7 min −3.350~+1.700 10.89 8.07 5.85 4.25 3.25 2.23 4.84 3.12 1.01 0 0 0 −1.700~+1.180 16.71 14.42 10.92 10.21 8.85 6.73 10.58 5.45 2.97 1.45 0 0 −1.180~+0.850 27.12 23.48 18.54 13.59 10.59 7.89 19.07 9.51 5.08 2.12 0 0 −0.850~+0.425 42.85 36.14 26.28 20.25 15.25 9.52 35.24 21.17 11.24 5.24 0 0 −0.425~+0.180 57.41 49.07 35.04 27.15 20.15 13.24 51.71 41.10 31.24 13.11 2.51 0 −0.180~+0.105 67.44 60.42 55.04 47.35 39.35 26.39 58.01 47.45 34.17 21.31 10.35 4.85 −0.105~+0.075 75.01 65.41 55.44 47.12 43.12 38.41 65.21 56.44 47.40 30.08 24.94 17.06 −0.075~+0.057 79.51 73.04 68.08 64.07 60.07 52.05 73.21 65.27 55.04 39.03 33.47 26.03 −0.057~+0.045 83.25 79.78 71.03 69.02 63.52 59.12 77.87 71.51 61.19 52.98 38.71 30.46 −0.045 100 100 100 100 100 100 100 100 100 100 100 100 
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表 2 不同粒度矿石的磨矿动力学参数m和k值
Table 2. The grinding kinetic parameters k and m values of ores with different particle sizes
粒度/mm 未处理矿石 微波预处理后矿石 m k R2 m k R2 −3.350~+1.700 0.4797 0.8682 0.9815 0.5627 1.8920 0.9912 −1.700~+1.180 0.5037 0.6852 0.9885 0.6234 1.4688 0.9876 −1.180~+0.850 0.5582 0.5444 0.9748 0.7852 1.2130 0.9689 −0.850~+0.425 0.7360 0.4187 0.9837 1.0123 0.7623 0.9719 −0.425~+0.180 0.7564 0.3997 0.9912 1.0767 0.4914 0.9822 −0.180~+0.105 0.6873 0.2615 0.9795 0.9276 0.4375 0.9789 −0.105~+0.075 0.6593 0.2351 0.9728 0.8923 0.3170 0.9844 −0.075~+0.057 0.5545 0.1551 0.9871 0.8617 0.2011 0.9861 −0.057~+0.045 0.5164 0.1404 0.9855 0.8051 0.1386 0.9624
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