Mathematical Modeling and Computational Simulation on Ball Milling in Domestic Goldsilver Mineral Processing Plant

Wonjae Lee; Minuk Jung; Seongsoo Han; Seungsoo Park; Geuntae Lim; Jaikoo Park

doi:10.12972/ksmer.2017.54.5.502

All Issue

2017 Vol.54, Issue 5 Preview Page Next Page

Research Paper

Mathematical Modeling and Computational Simulation on Ball Milling in Domestic Goldsilver Mineral Processing Plant 국내 금은광산 선광플랜트 볼 밀의 수학적 모델링 및 전산 모사

31 October 2017. pp. 502-511

PDF XML

Abstract

In this study, mathematical modeling and computational simulation were used to predict the particle size distribution of ball mill product in domestic gold silver mineral processing plant. Particle size distribution of ball mill product was predicted using Population Balance Model based on mass balance equation. Batch grinding tests were performed, then scaled-up under grinding condition of ball mill in domestic gold silver mineral processing plant. Scaled-up results were modeled and simulated by using USIM-PAC, a commercial software for mineral processing. Both 80% passing particle size of computational simulation result and actual particle size distribution were calculated as 0.206 mm, also coefficient of determination was calculated to be 0.998. Therefore, it was confirmed to the validation of simulation. Based on these results, it is expected to predict particle size distribution of ball mill in domestic gold/silver mineral processing plant according to the change of grinding condition.

Keywords

Mathematical modeling

Simulation

Ball mill

Scale-up

USIM-PAC

본 연구에서는 수학적 모델링 및 전산 모사를 통해 국내 금은광산 선광플랜트 볼 밀 분쇄산물의 입도 분포를 예측하였다. 물질 수지 방정식에 기초한 Population Balance Model을 활용하여 볼 밀 분쇄산물의 입도 분포를 예측하고자 하였다. 회분식 분쇄 실험을 수행한 후, 이를 국내 금은광산 선광플랜트 볼 밀의 분쇄 조건으로 스케일업하였다. 스케일업된 결과를 선광공정 상용 소프트웨어인 USIM-PAC으로 모델링 및 전산 모사하였다. 전산 모사 결과와 실제 선광플랜트 볼 밀 분쇄산물의 입도 모두 D₈₀ 기준 0.191 mm로 산출되었으며, 결정계수 또한 0.995로 산출되어 선광플랜트 볼 밀을 전산 모사 가능함을 확인하였다. 이를 근거로 선광플랜트 내 볼 밀의 분쇄 조건 변화에 따른 분쇄산물의 입도 분포를 예측할 수 있을 것으로 기대된다.

키워드

수학적 모델링

전산 모사

볼 밀

스케일업

USIM-PAC

References

Austin, L. G. and Bagga, P., 1981. An analysis of fine dry grinding in ball mills. Powder Technology, 28(1), 83-90.

10.1016/0032-5910(81)87014-3

Austin, L.G. and Bhatia, V.K., 1972. Experimental methods for grinding studies in laboratory mills. Powder Technology, 5(5), 261-266.

10.1016/0032-5910(72)80029-9

Austin, L.G. and Klimpel, R.R., 1984. Ball wear and ball size distributions in tumbling ball mills. Powder Technology, 41(3), 279-286.

10.1016/0032-5910(85)80026-7

Austin, L.G., 1973. A commentary on the Kick, Bond and Rittinger laws of grinding. Powder Technology, 7(6), 315-317.

10.1016/0032-5910(73)80042-7

Austin, L.G., Klimpel, R.R., and Luckie, P.T., 1984. Process engineering of size reduction: ball milling, 1^st Ed., Vol. 1, Society of Mining Engineers of the American Institute of Mining, Metallurgical, and Petroleum Engineers, New Jersey, United State of America.

Bond, F.C., 1952. The third theory of comminution, Trans. AIME, Min. Eng. ed 193, 484-494.

Brochot, S., Durance, M.V., Villeneuve, J., d'Hugues, P., and Mugabi, M., 2004. Modelling of the bioleaching of sulphide ores: application for the simulation of the bioleaching/gravity section of the Kasese Cobalt Company Ltd process plant. Minerals Engineering, 17(2), 253-260.

10.1016/j.mineng.2003.09.016

Chimwani, N., Glasser, D., Hildebrandt, D., Metzger, M.J., and Mulenga, F.K., 2013. Determination of the milling parameters of a platinum group minerals ore to optimize product size distribution for flotation purposes. Minerals Engineering, 43, 67-78.

10.1016/j.mineng.2012.09.013

Chimwani, N., Mulenga, F.K., Hildebrandt, D., Glasser, D., and Bwalya, M.M., 2014. Scale-up of batch grinding data from simulation of industrial milling of platinum group minerals ore. Minerals Engineering, 63, 100-109.

10.1016/j.mineng.2014.01.023

Cho, H.C. and Kim, J.Y., 2000. Mathematical modeling and simulation of grinding circuits. J. of the Korean Society of Mineral and Energy Resources Engineers, 37(6), 448-458.

Fuerstenau, D.W., Clutch, J.J., and De, A., 1999. The effect of ball size on the energy efficiency of hybrid high-pressure roll mill/ball mill grinding. Powder Technology, 105(1), 199-204.

10.1016/S0032-5910(99)00138-2

Herbst, J.A. and Fuerstenau, D.W., 1980. Scale-up procedure for continuous grinding mill design using population balance models. International J. of Mineral Processing, 7(1), 1-31.

10.1016/0301-7516(80)90034-4

Jung, M.U., Han, S.S., Nam, C.W., Park, K.H., and Park, J.K., 2017. Closed Grinding Circuit Design of Cu-Ni-Co-Fe-S Matte. J. of the Korean Society of Mineral and Energy Resources Engineers, 54(1), 57-65.

10.12972/ksmer.2017.54.1.057

Kwon, J., Jeong, J., and Cho, H., 2016. Simulation and opti-mization of a two-stage ball mill grinding circuit of molyb-denum ore. Advanced Powder Technology, 27(4), 1073-1085.

10.1016/j.apt.2016.03.016

Lee, H. and Cho, H. C., 2006. Breakage characteristics of some industrial minerals in a ball mill. J. of the Korean Society of Mineral and Energy Resources Engineers, 43(6), 533-542.

Lee, H. and Cho, H. C., 2013. Determination of Breakage Parameters on the Nonmetallic Minerals. J. of the Korean Society of Mineral and Energy Resources Engineers, 39(4), 248-256.

Lee, H., Kim, K.H., Kim, W.T., and Kim, S.B., 2013. Deter-mination of Breakage Parameters in Mathematical Grinding Model by Weight-adjustment Modification. J. of the Korean Society of Mineral and Energy Resources Engineers, 50(1), 80-87.

10.12972/ksmer.2013.50.1.080

Mulenga, F.K., 2017a. Sensitivity analysis of Austin's scale-up model for tumbling ball mills—Part 1. Effects of batch grinding parameters. Powder Technology, 311, 398-407.

10.1016/j.powtec.2017.02.007

Mulenga, F.K., 2017b. Sensitivity analysis of Austin's scale-up model for tumbling ball mills—Part 2. Effects of full-scale milling parameters. Powder Technology, 317, 6-12.

10.1016/j.powtec.2017.04.043

Perry, J.H., 1963. Chemical Engineers' Handbook, 4^th Ed., Vol. 1, McGraw-Hill, New York, United State of America, p.8-8.

Walker, W.H., Lewis, W.K., McAdams, W.H. and Gilliand, E.R., 1937. Principles of Chemical Engineering, 3^rd Ed., Vol. 1, McGraw-Hill, New York, United State of America, p.255-255

Whang, K.U. and Lee, M.Y., 1991a. Estimation of Selection and Breakage Functions from Batch Grinding Data and its Application to Simulation. J. of the Korean Society of Mineral and Energy Resources Engineers, 28, 464-471.

Whang, K.U. and Lee, M.Y., 1991b. The Effect of Ball Size on the Wet Grinding of Talc. J. of the Korean Society of Mineral and Energy Resources Engineers, 28, 46-53.

Information

Publisher :The Korean Society of Mineral and Energy Resources Engineers
Publisher(Ko) :한국자원공학회
Journal Title :Journal of the Korean Society of Mineral and Energy Resources Engineers
Journal Title(Ko) :한국자원공학회지
Volume : 54
No :5
Pages :502-511
Received Date : 2017-09-27
Revised Date : 2017-10-18
Accepted Date : 2017-10-18
DOI :https://doi.org/10.12972/ksmer.2017.54.5.502

Journal of the Korean Society of Mineral and Energy Resources Engineers ISSN:2288-0291(Print) 2288-2790(Online) 한국자원공학회지

All Issue