On the approximation of land settlement functions due to underground mining of deposits with regard to the geomechanical data of the rocky massage for the needs of modeling in construction in mining areas
Publication date: 2021-02-12
Zeszyty Naukowe Politechniki Częstochowskiej seria Budownictwo 2020;26(1):126–132
KEYWORDS
numerical modelingintegral and approximation formulasKnothe-Budryk theoryChudek-Stefański theoryconstruction in mining areas
ABSTRACT
Formulas approximating land surface depression resulting from the combination of two geometricalintegral
theories: Chudek-Stefański theory and Knothe-Budryk theory are presented. The proposed mathematical
formulas have been developed in 2D and 3D spaces. The differences of results obtained from integral
formulas and approximating formulas were compared. The presented solutions are used in modeling
terrain surface deformation as a result of underground mining operations for the needs of analyzes in construction
in mining areas without the need to use integral calculus.
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