Relation between the theoretical and average observed curvatures of mining terrain

International Conference on Applied Sciences

自然科学（总论）

Orwat, J.^1^2

Silesian University of Technology, Department of Mining and Geology, Akademicka str., no. 2, Gliwice

44100, Poland^1

Silesian University of Technology, Department of Construction, Akademicka str., no. 5, Gliwice

44100, Poland^2

关键词: Integral theory;    Least squares methods;    Measured curvature;    Mining exploitation;    Smoothing parameter;    Standard deviation;    Theoretical values;    Underground mining;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/477/1/012043/pdf
DOI  :  10.1088/1757-899X/477/1/012043

学科分类：自然科学（综合）

来源: IOP

【 摘 要 】

In the article have been shown the obtaining methods of average graph of terrain curvatures caused by underground mining exploitation and their theoretical graph calculated on the base of subsidence forecasted by the use of the geometric-integral theory of mining exploitation influences. The average graph of curvatures measured after the ending of excavation in the 338/2 and 358/1 hard coal seams, was designated using the smoothed splines and the least squares method. First it has been done an approximation of the subsidence measured values (with help of the R-project computer program) and then, it has been determined an average graph of the observed curvatures. The choice criterion of proper value of smoothing parameter of approximating function was applied for the subsidence. Right value of smoothing parameter occurs when the standard deviation between the average and predicted graphs of subsidence reaches the minimal value. Average values of measured curvatures were compared with the theoretical values of curvatures. They were calculated on the base of subsidence forecasted by the use of the EDN-OPN computer program and the Bialek's formula with the values of its parameters designated from the results of geodesic measurements. It was determined a relation between the theoretical values of curvatures and their average measured values. This relationship allows to evaluate the mathematical model which was used to calculation of the curvatures theoretical values.