## 1 Introduction  
Induced seismicity is a phenomenon that is directly or indirectly caused by industrial operations, such as mining of minerals, production of geothermal energy, underground storage of liquids and gases, extraction of conventional and unconventional hydrocarbons, construction of dams, and retention reservoirs. These technological processes change the stress distribution of the Earth's crust and may cause seismic shocks. The mechanism of induced seismicity begins with anthropogenic activity in the rock mass or on its surface. Engineering works violate the natural state of equilibrium in the rock mass, which releases potential energy from the rocks. Then, part of this energy changes into seismic energy, which propagates from the focus of shock as elastic waves [1]. The resulting shocks can damage infrastructure, cause deformations on the surface of the earth, and pose danger to people. In our paper, we deal with terrain deformations that are the consequence of underground mining of minerals. Induced seismicity and natural seismicity are the same in the form of surface vibrations. It would seem that the only differences between mining tremors and earthquakes are depth and energy of the event (magnitude). However, [PERSON] [2, 3] presented quantitative and qualitative differencesin the context of surface effects, such as differences in size and intensity of shocks, differences in the duration of kinematic excitation, differences in the spectral properties of records of mining tremors and earthquakes, differences in peak values of ground movement, and differences between horizontal and vertical components of rock mass. In recent years, there has been a significant increase in interest in induced seismicity by the scientific community, industry, government, as well as general society. The growing interest in this topic is due to the growing demand for energy and mineral resources [4]. To meet this demand, it is necessary to reach for (increasingly difficult to access) deposits. Complicated and complex mining conditions contribute to a greater number of induced shocks, which cause terrain deformations that, due to their usually unexpected nature, are difficult to detect with traditional surveying methods. Developments in space observation techniques make it possible, for the first time, to record the state of the surface before and after a seismic event and thus determine the resulting change. The process of the development of terrain deformations (the authors use the term as subsidence of the ground's surface) resulting from seismicity induced by underground mining and characteristics (shape) of these deformations are not yet thoroughly investigated. The state of research in this area requires development to better understand the ground surface displacement process and to describe the geometry of the resulting terrain deformations. Thus, the primary subject of this research is focused on spatial analysis of the geometry of terrain deformation area caused by induced shocks ( tremors) on the case study of underground copper mining in Poland. In addition, the relationship of the terrain deformation characteristics (vertical displacement, extent) and the energy of induced shocks has been analyzed. For this purpose, Sentinel-1A/B data for eight different seismic events, differential radar satellite interferometry (DInSAR), and geographic information systems (GIS) have been used. The DInSAR method has the advantage over other geodetic techniques e.g., precise leveling, Global Navigation Satellite Systems (GNSS), as through continuous observation of earth surface at a given interval, it enables to use data recorded prior to unexpected in nature seismic events. Whereas, spatial statistic functions in GIS allow to combine and analyze statistically numerous datasets related to a seismic event.