## 2 State of Knowledge  
Many scientific papers have been published on the study of surface displacements caused by mining using geodetic and remote sensing methods [5; 6; 7; 8]. However, Satellite Interferometric Synthetic Aperture Radar (InSAR)has become the leading method in this field [9]. InSAR data have been utilized to analyze, among other things, long term and short term deformations caused by mining activity [10; 11; 12; 13; 14; 15]. The emergence of the European Space Agency's Sentinel-1A/B satellite mission in 2014 enabled universal and open access to images from land and ocean surface observations. In the result, research using alternative to commercial spaceborne satellite radar interferometry data sources has been made possible to determine terrain deformations caused by induced shocks. Noteworthy studies in this field have been presented in Table 1.  
In Poland, research focuses primarily on the underground exploitation of coal and copper, as induced seismic activity is associated with two mining centers: Upper Silesia Coal Basin and Legnica-Glogow Copper District [18, 19, 20, 21, 22]. However, internationally, the main areas of induced seismicity research focus on hydraulic fracturing used to extract gas and oil, e.g., in Oklahoma in the USA [23, 24, 25, 27], and production of geothermal energy, e.g., Germany, and Iceland [16, 17]. So far, induced tremors have been studied in order to determine the magnitude and location of terrain deformations, in relation to natural and technological conditions using satellite radar interferometry. Results of these studies [16, 18, 19, 20, 21, 22, 23, 26, 27] indicate that methods of satellite radar interferometry DInSAR, Small Baseline Subset (SBAS) method are suitable for detecting surface deformations measured in Line of Sight (LOS) of the satellite caused by induced seismicity. Up to now, the research on the geometry of surface deformations developed in the result of seismic events caused by underground mining and based on a large number of data has been limited. The presented studies investigate deformations caused primarily by a particular seismic event. On the other hand, geographic information systems (GIS) provide tools for managing and processing various spatially referenced datasets and enable integration and modeling of the analyzed data. Apart from simple map overlay, spatial statistics, geodata mining and prediction methods, geographical information systems are used to augment studies of terrain deformations in mining areas. Table 2 shows notable examples of the use of GIS in research related to surface displacements caused by mining. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Authors, Date of Publication** & **Area of Interest** & **Date of Analyzed Shocks** & **Satellites and Methods** \\ \hline [PERSON], 2016 [28] & Poland, Walbrzych & \begin{tabular}{c} analysis and modelling of \\ mining induced land subsidence \\ \end{tabular} & \begin{tabular}{c} Weighted Spatial Regression method in \\ geographic information systems (GIS) \\ leveling and global positioning system \\ (GPS) measurements, implementation \\ of results into GIS for \\ public administration \\ \end{tabular} \\ [PERSON], 2015 [29] & Slovakia, Kosice & \begin{tabular}{c} three-dimensional (3D) \\ deformation vectors \\ \end{tabular} & \begin{tabular}{c} Weighted Spatial Regression method in \\ geographic information systems (GIS) \\ leveling and global positioning system \\ (GPS) measurements, implementation \\ of results into GIS for \\ public administration \\ \end{tabular} \\ [PERSON], 2014 [30] & Poland, Upper Silesia & \
\begin{tabular}{c} class in mining areas in \\ changeable exploitation \\ conditions \\ \end{tabular} & GIS and a classification and regression \\ [PERSON] et al., 2014 [31] & Korea, Samcheok &
\begin{tabular}{c} ground-subsibence hazard \\ indexes and maps \\ \end{tabular} & fuzzy ensemble techniques and a GIS \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Studies of terrain deformations caused by mining utilizing geographic information systems.