Authors: S.N. Shabaev

Title of the article: Theoretical foundations of the mathematical model of crushed rock fines packaging

Year: 2018, Issue: 2, Pages: 53-60

Branch of knowledge: Earth sciences

Index UDK: 622.

DOI: 10.26730/1999-4125-2018-2-53-60

Abstract: In construction of motor roads at Kuzbass open-cast coal mines, the associated overburden and / or coal-bearing crushed rocks are mainly used, which become soft under the action of water resulting in rapid destruction of the road bed. In order to effectively use this rock for the construction of open-cast mine motor road surfacing, it needs to have minimum water permeability, and this can be achieved by regulating the particle size distribution. To develop a mathematical model that allows predicting the bulk mass of crushed rock of a given granulometric composition, it is necessary to have a technique that allows to adequately and reliably estimate the possibility of packing the particles of different sizes.Existing mathematical models of packing density are developed, mainly, for single-dimensional elements, evenly distributed in space. The crushed rocks consist of particles of different sizes, differing in several tens of thousands times, hence, the available theories and models are not applicable to them, since they do not take into account these features. The hypothesis on the packing volume of globular particles, based on the analysis of methods and approaches used in the theory of packaging, has been proposed in the article; its adequacy, sufficient for practical purposes, accuracy and the possibility of using it for crushed rocks have been theoretically and experimentally proven. It has been established that the packaging volume of any crushed rock particle is directly proportional to the actual volume of a ball having a diameter similar to that of a particle and is inversely proportional to the power function of the particle packing density, ranging from 0.56 to 0.62.

Key words: crushed rocks packing particles open-cast mining ball road

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