Calculation algorithm of layered massif to predict the stress state of the roof and the coal seam in the zone of mining operations
- 1 — Professor G.V. Plekhanov Saint Petersburg State Mining Institute
- 2 — Associate Professor G.V. Plekhanov Saint Petersburg State Mining Institute
- 3 — Research assistant G.V. Plekhanov Saint Petersburg State Mining Institute
Abstract
A mathematical model of interaction of a multilayer massif with a thin coal seam, including initial resolving differential equations and boundary conditions, has been obtained. The developed algorithm of numerical solution is implemented in a computational program in which the input parameters are geological characteristics of the main and immediate roof, stiffness coefficient of the coal seam in the massif and the law of its change in the edge zone, stiffness coefficient of soil rocks, stiffness coefficient of fill material, layer thickness and ultimate deformations of the roof. Accordingly, the output parameters of the calculation program are: the response of the coal seam to the action of the load from the overlying massif (support pressure), vertical and angular displacement of the roof layers over the coal seam, vertical and angular displacement of the roof over the mined-out space, the ultimate span of the roof.