Approximation of average course of measured curvatures of mining area with reference to their forecast values by Knothe’s formulas

The mean square approximation of average course of mining area subsidence with the use of a flat spline as a approximating function was conducted to determine an approximate course of curvatures observed on a measuring line set over exploitation run by “Chwalowice” coalmine. The assumed minimising criterion of loss function was referred to the forecast values of vertical ground displacements calculated via Knothe’s formulas. The average courses of inclinations and curvatures of mining area were obtained via the calculation of their values by means of empirical formulas taking into consideration the obtained approximate values of measured subsidence.