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APPLICATION OF GAUSS-LAPLASSE AND B(BETA) DISTRIBUTIONS IN A MINERAL GRINDING MODELING ALGORITHM
Abstract
In this study, the authors have continued investigating the tasks of the joint application of the Gauss-Laplasse and B (beta) distributions to describe the disintegration of minerals of poly-mineral ores, which is associated with the mineral grains liberation, i.e., the release of mono-mineral particles from the aggregates with other minerals. The article presents an approach for a simulation modeling algorithm for disintegration operations of mineral particles in technological flowsheets of mineral processing. Using the algorithm and the results of laboratory studies on grinding of loparite ores from the Lovozero deposit in a ball and rod mill, simulation grinding models were designed based on the transformation of a discrete function of the density distribution of outputs of mineral particle size classes. The model’s adequacy was quantitatively analysed carried out by calculating the determination coefficient without taking into account the constant component of the distribution; for a qualitative assessment of the result the authors used the Cheddock scale. The authors studied the minerals disintegration at ball and rod grinding with the following verification of the proposed algorithm. To identify the distribution of loparite by size classes in the initial ore samples and in the samples obtained in the disintegration taking place at different productivity, the X-ray diffraction analysis and the combined (weight, optical and geometric) methods were used. The samples’ photographs were made on a stereoscopic microscope LEICAMZ-6 with high resolution colour digital camera LEICADFC320 R2.
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Lukichev S.V., Nikitin R.M., Birukov V.V., Oleynik A.G. Simulation Modeling Concept of Disintegration of Minerals Based on Gauss - Laplace and B (beta) Distributions. // SGEM 2020. 2020, V. 1.1. P. 847-854. DOI: 10.5593/sgem2020/1.1/s04.103.
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