Abstract
The physical properties of the artificial disjointed rock massifs (the filling massifs and arrays of collapsed rocks and dumps) formed during mining operations, are largely determined by the geometry of the structure of pore space and the mineral phase, i.e. particle size, shape and packing method. In this case, the conditions for the arrangement of the particles relative to each other (the distances between the centers of the particles, the orientation, the number of contacts, the angles between the segments connecting the particle centers, etc.) have a decisive influence on the macroscopic characteristics of the rock mass (specific surface, bulk density, load capacity, etc.) and the behavior of such media under the applied stresses. Thus, in order to manage the state of disjointed technogenic rock massifs of bedrock, the question of applying modern methods for modeling bulk media for determining these parameters is considered. The article provides an overview of methods for modeling granular media to determine their structural, physical and mechanical parameters.
Highlights
The phenomenological approach, in which a discrete bulk medium is replaced by some fictitious continuous medium – a continuum characterized by observable averaged properties, measurable, continuous and differentiable by spatial coordinates and time, is generally accepted to describe processes occurring in bulk media
Laws, the general, or macroscopic, property of the bulk medium itself is described by means of averaging parameters
To research the processes occurring in bulk solids and essentially determined by their geometrical structure, it is advisable to use a structural approach, which allows to obtain the distribution of structural parameters of the medium and proceed to averaging at a qualitatively higher level, and allows to build mathematical models to some extent reflecting the specificity of bulk media as a set of unconsolidated particles
Summary
The phenomenological approach, in which a discrete bulk medium is replaced by some fictitious continuous medium – a continuum characterized by observable averaged properties, measurable, continuous and differentiable by spatial coordinates and time, is generally accepted to describe processes occurring in bulk media. Macroscopic properties cannot always be obtained from microscopic ones by statistical averaging In this regard, to research the processes occurring in bulk solids and essentially determined by their geometrical structure, it is advisable to use a structural approach, which allows to obtain the distribution of structural parameters of the medium and proceed to averaging at a qualitatively higher level, and allows to build mathematical models to some extent reflecting the specificity of bulk media as a set of unconsolidated particles. The most adequate models of bulk solids as a stochastic medium should reflect the statistically probabilistic nature of the parameters (size, coordinates) constituting the elements of the system [7]
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