Automated determination of internal points of the coordinate grid of the blasted rock mass

¹ K.I. Satpayev Kazakh National Research Technical University (Satbayev Unuversity), A15P4X4, Almaty, Satbayev Str., 22, Republic of Kazakhstan
² Al-Farabi Kazakh National University, 050040, Almaty, al-Farabi Ave., 71/23, Republic of Kazakhstan
³ Almaty University of Power Engineering and Telecommunications, 050013, Almaty, Baytursynova Str., 126/1, Republic of Kazakhstan

^* Corresponding author: b.rakishev@mail.ru

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.