## 7 Conclusions  
The presented research concerned the determination of surface effects caused by eight shocks induced in the area of underground copper mining. For this purpose, the DInSAR method was used to calculate the resulting surface displacements and GIS to analyze the obtained results. On the basis of the Sentinel-1 A/B data 68 image pairs were processed and 37 interferograms were obtained and further analyzed, which enabled the detection of terrain deformations. This research made it possible to determine the average values of: vertical displacements, spatial ranges in the W-E and N-S directions, the geometry of troughs, as well as the relationship between energy and displacements, spatial ranges. As a result of the research, the following conclusions were formulated:  
1. The Sentinel-1 A/B mission ensures sufficient frequency of delivering new satellite imagery to detect terrain displacements due to induced seismicity in the area of underground copper mining.
2. The DInSAR method enables the determination of displacements caused by induced shocks with energy from \(2.9\times 10^{6}\) J to \(3.1\times 10^{8}\) J (magnitude from 2.71 to 3.75).
3. The greatest number of interferograms was calculated for the winter months of: November December, February, while the smallest number in January, April, and September. Low coherence for these months was due to the area being covered with dense vegetation or snow.
4. GIS provides tools facilitating further processing, as well as analysis of the results and their visualization. The use of spatial statistics made it possible to develop the characteristics of the geometry of the resulting troughs.
5. The deepest trough was created after the shock of 29 January 2019 (energy \(3.1\times 10^{8}\) J) with mean maximum vertical displacement equal to \(-119\) mm. The shallowest trough was caused by the shock of 8 April 2017 (energy \(2.9\times 10^{6}\) J) with an mean maximum vertical displacement of \(-44\) mm. The mean values of the spatial ranges of these troughs ranged from 500 m and 1950 m in the W-E direction and from 600 m to 2700 m in the N-S direction.
6. Strong positive relationship has been determined between energy of induced shocks and the resulting vertical displacements of terrain, as well as between energy and spatial extents of deformation areas. The highest value of the coefficient of Pearson (\(r=0.79\)) was determined for the energy vs. W-E extent and N-S extent relationship while the lowest (\(r=0.76\)) for energy vs. mean maximum vertical displacements.  
In the future, the same researches are planned for other induced shocks in order to create a knowledge base on deformations in the Rudna mine.  
Conceptualization, K.O. and J.B.; methodology, K.O. and J.B.; software, K.O.; validation, K.O. and J.B.; formal analysis, K.O. and J.B.; investigation, K.O.; resources, K.O.; data curation, K.O.; writing--original draft preparation, K.O.; writing--review and editing, K.O. and J.B.; visualization, K.O. and J.B.; supervision, J.B. All authors have read and agreed to the published version of the manuscript.  
The research has been supported by the statutory grant at the Department of Mining and Geodesy, Faculty of Geoengineering, Mining and Geology, Wroclaw University of Science and Technology.  
The research has been realized with the support of Rudna mine of KGHM Polish Copper Ltd.  
The authors declare no conflict of interest.