Determination of equation describing the measured and average curvatures graphs observed as a result of multideposit exploitation at the great depth

In this article was shown a methodology of obtaining the average graphs of mining terrain curvatures caused by multideposit exploitation of hard coal which was conducted at the great depth. An instance of exploitation comes from the mining plant which was established in the borders of The Upper Silesian Coal Basin in Poland. Hard coal exploitation was conducted in the years 2001 – 2011, in three coal beds 338/2, 341 and 358/1, at the depth of 600 m, 635 m and 1000 m. Influences of mining exploitation were observed on the terrain surface by the use of surveys carried out at measuring line N^o 8. This line was located parallel to the longwalls runs in the coal bed 338/2, above the middle of longwall B – 2 and consisted of 53 measuring points. The average distance between the neighboring points was amounted about 35 m. There were carried out the surveys of points heights and segments lengths on this measuring line. On the base of points subsidence and measured distances, there were calculated the mining terrain curvatures caused by this exploitation. The average graphs of measured curvatures were obtained on the way of approximation of average courses of measured subsidence, done by the use of the smoothed spline functions. There was used an average – squared approximation. Thanks to that, it was possible to determine the linear correlation between the measured and average graphs of curvatures.