On the radius dependence functions of the main influences range used to model vertical displacements of the terrain surface due to underground mining of seam deposits taking into account the geomechanical properties of the rock mass for the needs of construction in mining areas
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Publication date: 2021-02-12
Zeszyty Naukowe Politechniki Częstochowskiej seria Budownictwo 2020;26(1):133–139
The proposed mathematical formulas for calculating the radius of the range of main influences as a function of a number of rock mass geomechanicaal parameters are presented. These formulas are applicable in Knothe-Budryk theory and Chudek-Stefański theory. The proposed formulas use dependencies obtained as a result of statistical analysis of a set of known values of geomechanical parameters of the rock mass obtained from 16 boreholes in the same region, taking into account 34 types of rocks. The obtained correlation dependencies enabled the creation of mathematical formulas for modeling rock mass settlements as a function of: rock compressive strength, their cohesion, tensile strength, compressive strength when saturated with water, softening foctor, Youngs modulus, volumetric weigth, depth of deposit, thickness of the exploited layer, service factor. The current formulas found in the literature include a smaller number of variables. The formulas also make it possible to calculate the angle of range of main influences, its value is used to determine the protective pillars. The proposed solutions are used in modeling terrain surface deformations as a result of underground exploitation for the needs of conducting analyzes in construction in mining areas – without the need to use integral calculus.