Abstract
The study presents the formulation of the problem that is a numerical calculation of stress-strain state of the rock mass in the vicinity of the production working by the finite element method. The estimated area had a rectangular shape and included the coal seam, the roof and soil strata, and the production working. All the blocks of the estimated area being in the state of plain strain were taken as linearly deformable. The area of roof rock destruction was established by Mohr criterion. The analytical dependence of the height of primary roof strata collapse on the roof strata ultimate compression strength, the depth and the length of the mined area has been obtained. This result allows us to estimate the initial step of roof collapse.
Highlights
The estimation of the initial step of roof caving is one of the main tasks of rock mechanics during coal-face operations
This approach is implemented in solving various problems of rock mechanics in underground mining of coal seams [9-15]
We considered the stress-strain state of the rocks in the first period of coal-face operations before the collapse of roof rocks
Summary
The estimation of the initial step of roof caving is one of the main tasks of rock mechanics during coal-face operations. Many studies were devoted to this issue using various approaches to the task formulation and methods of solution [1-7]. This paper uses the method of finite element numerical simulation of the stress-strain state of the rock strata in the vicinity of a coal face [8]. This approach is implemented in solving various problems of rock mechanics in underground mining of coal seams [9-15]. An assessment of the strength condition of the roof rocks strata is made, which made it possible to calculate the height of the primary roof collapse area
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