ArticleName 
Adapting the probabilistic grinding model to the operation of balltube mills 
ArticleAuthorData 
ChemicalMetallurgical Institute named after Zh. Abishev, Karaganda, Kazakhstan:
V. P. Malyshev, Head of Laboratory of EntropicInformation Analysis, email: eia_hmi@mail.ru Yu. S. Zubrina, Junior Researcher of Laboratory of EntropicInformation Analysis
PLC “KazGidroMed”, Karaganda, Kazakhstan:
A. B. Yun, Executive Officer O. M. Sinyanskaya, Dressing Specialist (Research Laboratory of ScientificResearch Center of Innovation Technologies) 
Abstract 
The general procedure for adapting the probabilistic grinding model to the operation of balltube mills is presented, including a list of initial data, preliminary calculations of the content and residence time of the grindable material in the mill, and parameters and operating conditions of the mill with a specific material, which calculate the adaptation coefficients, taking into account the degree of combination of the waterfall regime with the regime of spillage and the degree of aggregation of subtle classes. This adaptation procedure is shown by the example of crushing of the stale tailings of the Zhezkazgan Dressing Plant in a largescale laboratory mill. The probabilistic model includes almost all characteristics of crushing and grindable bodies of the mill itself and its operating mode, which makes it possible to use this model after adaptation procedures for comprehensive analysis and search for the optimal process regime. This concerns the output of fine classes, according to which the probabilistic model allows one to calculate their detailed fractional composition with the separation of the target fraction –0.071+0.005 mm and the undesired slime –0.005 mm. At the same time, the time to reach the maximum yield of the target fraction and the permissible output of slime, determined by calculation in the framework of the probabilistic grinding model, are revealed, as shown by the example of the reprocessing of stale tailings of the Zhezkazgan Plant.
Our paper was written within the project 0026/ПЦФ 2015–2017 “Increasing of efficiency of coppersulfide ore dressing on the basis of mutual optimization of grinding and flotation dressing processes (Ministry of Education and Science).

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