{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T06:18:48Z","timestamp":1772173128283,"version":"3.50.1"},"reference-count":60,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2021,4,9]],"date-time":"2021-04-09T00:00:00Z","timestamp":1617926400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>In this article, we present a possible approach to use satellite radar data for a complete description of the formation process of a subsidence trough resulting from an induced seismic event\u2014a mining tremor. Our main goal was to verify whether SAR data allow for the calculation of the basic indicators for the trough (w\u2014subsidence, T\u2014trough slope, K\u2014curvature, u\u2014horizontal displacements, \u03b5\u2014horizontal deformations). We verified the extent to which the Mogi and Yang models can be fitted to match the actual displacements recorded after an induced seismic tremor. The calculations were performed for the Legnica-Glogow Copper Belt (LGCB) area in southwest Poland. Due to intensive mining operations and specific geological and tectonic conditions, the area shows a high level of induced seismic activity. Our detailed analysis focused on four powerful mining tremors: the first tremor occurred on 29 November 2016 (MW3.4), the second on 7 December 2017 (MW3.3), the next on 26 December 2017 (MW3.6) and the last tremor on 29 January 2019 (MW3.7). For each analyzed event, we determined the displacements based on the Differential Interferometric Synthetic Aperture Radar (DInSAR) method and Sentinel 1 synthetic aperture radar (SAR) data from two paths (22 and 73). Additionally, for the period from November 2014 to October 2020, we calculated the displacements using the Small Baseline Subset method (SBAS) time series method. In all cases, the tremor was followed by the development of long-lasting surface deformations. The obtained results allowed us to conclude that it is possible to calculate indicators that result from a specific induced mining event. Considering the full moment tensor and nature of the tremor source, we demonstrated that the Mogi and Yang models can be employed to describe the influence of an induced tremor on the surface in an area of mining activity. We also confirmed the global character of the influence of the reduced troposphere on SAR data calculations. Our conclusions indicate that accounting for the tropospheric correction does not distort horizontal and vertical displacement values in regions influenced by mining activity\/tremors.<\/jats:p>","DOI":"10.3390\/rs13081451","type":"journal-article","created":{"date-parts":[[2021,4,12]],"date-time":"2021-04-12T05:52:00Z","timestamp":1618206720000},"page":"1451","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Induced Seismic Events\u2014Distribution of Ground Surface Displacements Based on InSAR Methods and Mogi and Yang Models"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4044-295X","authenticated-orcid":false,"given":"Wojciech","family":"Milczarek","sequence":"first","affiliation":[{"name":"Department of Geodesy and Geoinformatics, Faculty of Geoengineering Mining and Geology, Wroclaw University of Science and Technology, Wybrze\u017ce Wyspia\u0144skiego 27, 50-370 Wroc\u0142aw, Poland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5861-1280","authenticated-orcid":false,"given":"Anna","family":"Kope\u0107","sequence":"additional","affiliation":[{"name":"Department of Geodesy and Geoinformatics, Faculty of Geoengineering Mining and Geology, Wroclaw University of Science and Technology, Wybrze\u017ce Wyspia\u0144skiego 27, 50-370 Wroc\u0142aw, Poland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9787-4614","authenticated-orcid":false,"given":"Dariusz","family":"G\u0142\u0105bicki","sequence":"additional","affiliation":[{"name":"Department of Geodesy and Geoinformatics, Faculty of Geoengineering Mining and Geology, Wroclaw University of Science and Technology, Wybrze\u017ce Wyspia\u0144skiego 27, 50-370 Wroc\u0142aw, Poland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9105-6020","authenticated-orcid":false,"given":"Natalia","family":"Bugajska","sequence":"additional","affiliation":[{"name":"Department of Geodesy and Geoinformatics, Faculty of Geoengineering Mining and Geology, Wroclaw University of Science and Technology, Wybrze\u017ce Wyspia\u0144skiego 27, 50-370 Wroc\u0142aw, Poland"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,9]]},"reference":[{"key":"ref_1","first-page":"101981","article-title":"Research on ground deformation monitoring method in mining areas using the probability integral model fusion D-InSAR, sub-band InSAR and offset-tracking","volume":"85","author":"Wang","year":"2020","journal-title":"Int. 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