## 5 Results  
The terrain deformations resulting from the induced shocks, which occurred in the period from 29 November 2016 to 7 February 2020, were analyzed. These shocks had energies from \(2.9\times 10^{6}\) J (registered as 2.71 magnitude by regional seismological station of the Polish Academy of Sciences) to \(3.1\times 10^{8}\) J (registered as 3.75 magnitude by regional seismological station of the Polish Academy of Sciences), location and date of these events is shown in Figure 4. Strong mining tremors in the area of LGOM are registered by the regional seismological station of the Polish Academy of Sciences, which is located several dozen kilometers to the south. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**Date of Seismic Event** & **29/11/16** & **16/12/16** & **08/04/17** & **07/12/17** & **26/12/17** & **15/09/18** & **29/01/19** & **07/02/20** \\ \hline Magnitude 1  & M = 3.50 & M = 3.50 & M = 2.71 & M = 3.34 & M = 3.54 & M = 3.74 & M = 3.75 & M = 2.97 \\ Energy 2 (J) & \(1.0\times 10^{8}\) & \(9.5\times 10^{7}\) & \(2.9\times 10^{6}\) & \(5.0\times 10^{7}\) & \(1.2\times 10^{8}\) & \(3.0\times 10^{8}\) & \(3.1\times 10^{8}\) & \(9.3\times 10^{6}\) \\ Number of correct pairs & 5 & 4 & 4 & 8 & 5 & 3 & 2 & 7 \\ minimum vertical & \multirow{2}{*}{\(-79\)} & \multirow{2}{*}{\(-36\)} & \multirow{2}{*}{\(-37\)} & \multirow{2}{*}{\(-74\)} & \multirow{2}{*}{\(-103\)} & \multirow{2}{*}{\(-81\)} & \multirow{2}{*}{\(-100\)} & \multirow{2}{*}{\  
In total, 68 pairs of images were processed, and 37 generated interferograms were investigated further (Appendix A). The remaining ones were characterized with low coherence values below 0.30 due to dense vegetation or snow coverage. Between 2 and 8 interferograms were obtained for each seismic shock. The time interval between pairs of images ranged from 6 to 24 days. The largest number of correct interferograms (8) was generated for the shock of 7 December 2017, and the lowest number of correct interferograms (2) was obtained for the shock of 29 January 2019. In the case of the remaining shocks, the number of correct ones was 3 (15 September 2018), 4 (16 December 2016 and 8 April 2017), and 5 (29 November 2016 and 26 December 2017). The descriptive statistics for each of the analyzed seismic shocks are presented in Table 3. These include: date, magnitude, energy and number of analyzed image pairs resulting in a number of vertical displacement maps for each event. Then, highest, lowest and average maximum calculated vertical displacement values are given, as well as greatest, smallest and mean extent of deformation area. These values have been calculated from vertical displacement maps obtained for each of the analyzed events. The minimum, maximum and mean values for vertical displacements, the W-E extent and the N-S extent were obtained on the basis of raster map algebra's cell statistic calculations in ESRI's ArcGIS software licensed to Wroclaw University of Science and Technology. The mean values of maximum vertical displacements (subsidence) ranged from \(-\)44 to \(-\)119 mm depending on the induced shock. The greatest vertical displacements were caused by the tremors on 26 December 2017, and 29 January 2019, with mean maximum displacement values of \(-\)109 and \(-\)119 mm, respectively. The smallest vertical displacements were the result of the tremors on 8 April 2017, and 7 February 2020, with mean maximum vertical displacement of \(-\)44 and \(-\)48 mm. The remaining tremors resulted in mean maximum vertical displacement values ranging from \(-\)67 to \(-\)96 mm. In the case of horizontal extent of deformation areas, the mean values ranged from 0.550 m to 1950 m for the W-E direction and from 600 m to 2700 m for the N-S direction. The W-E direction and the N-S direction correspond approximately to the directions of the world, along which the trough profiles were measured. The value of \(-\)10 mm was assumed as the boundary of the area of subsidence, which determined the N-S and W-E extent of each deformation area.