Abstract
An automated method for determining the internal points of the coordinate grid of the blasted rock mass is described. It is based on the method of determining the nodal points of the coordinate grid of the blasted rock mass, which is based on taking into account the dependencies that connect the initial parameters of the blasting rock mass with the final location of the fixed points of the blasted rock mass. The determining factors are the specific height and width of the collapse, the coefficient of loosening of the rocks. The method of analysis of experimental and industrial mass explosions in quarries, methods of analytical geometry, matrix theory and linear algebra are used. For the first time in mining, an analytical method has been developed for determining the internal points of the coordinate grid of an exploded block. It includes the established functions of the movement of nodal points, components of the vectors of movement of nodal and internal points of the coordinate grid. The established dependencies allow one to determine the displacements of any point inside the coordinate grid of the blasted block from the initial coordinates of the nodal and internal points.
Highlights
Predicting the placement of dissimilar rocks of a ledge in the collapse of blasted rocks is extremely important in mining
The main destruction of rocks occurs in the first stage of an explosion under the influence of stress waves excited in the medium by an explosive charge explosion, and the gaseous products of the explosion themselves
For the first time in mining, original analytical methods have been developed for determining the nodal and internal points of the coordinate grid of the blasted rock mass. They are based on some basic techniques of analytic geometry, matrix theory, and linear algebra
Summary
Predicting the placement of dissimilar rocks of a ledge in the collapse of blasted rocks is extremely important in mining. It depends on the physicomechanical properties of the rocks of the blasting block, the physicochemical characteristics of the explosive used and the location parameters of the explosive charges in the explosive mass. The positions of the internal points of the coordinate grid of the blasted block established serve as a tool for determining the structural characteristics of the collapse of blasted rocks
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