# Mining Deformation Life Cycle in the Light of InSAR and Deformation Models
## 4 Results
### Monthly Deformation
Figures 14-17 provided for line A\({}^{\prime}\)A\({}^{\prime\prime}\) and B\({}^{\prime}\)B\({}^{\prime\prime}\) were analysed together, as they were prepared for the same dates. The shape of subsidence along these lines is different for DInSAR and the model. As mentioned, subsidence is initiated once the panel is extracted, but the main phase deformation lags by seven to ten months. No or little relation to the thickness of the seam are primarily observed. Moreover, the DInSAR deformation is more scattered around the mean solution, whereas the model deformation is a smoothed approximation of subsidence. Figure 12: Monthly advancement of coal extraction presented by the red panels and main subsidence presented by images according to the DInSAR measurements. Profiles along the line A\({}^{\prime}\)A\({}^{\prime\prime}\) are shown in Figure 14 and along the line B\({}^{\prime}\)B\({}^{\prime\prime}\) in Figure 16.  
Figure 13: Monthly advancement of coal extraction presented by the red panels and the main subsidence presented by images according to the prediction models based on the Knothe–Budryk theory. Profiles along the line A\({}^{\prime}\)A\({}^{\prime\prime}\) are shown in Figure 15 and along the line B\({}^{\prime}\)B\({}^{\prime\prime}\) in Figure 17.  
Figure 14: Profile A\({}^{\prime}\)A\({}^{\prime\prime}\) (longwall No. 6) through the DInSAR: The blue curves show the vertical subsidence by month in 2017. The grey vertical lines show the location of the panels of extractions according to the starting date (above each graph). The shaded area is the currently extracted panel for the presented month. On the bottom of the figure, profiles of the DEM surface and depth and thickness of coal seam are presented. Figure 15: Profile A\({}^{\prime}\)A\({}^{\prime\prime}\) (longwall No. 6) through the models. The red curves show the vertical subsidence by month in 2017. On the bottom of the figure, profiles of the DEM surface and depth and thickness of coal seam are presented. Figure 16: Profile B\({}^{\prime}\)B\({}^{\prime\prime}\) (longwall No. 5) through the DInSAR. The blue curves show the vertical subsidence by month in 2017. On the bottom of the figure, profiles of the DEM surface and depth and thickness of coal seam are presented. Figure 17: Profile B\({}^{\prime}\)B\({}^{\prime\prime}\) (longwall No. 5) through the models. The red curves show the vertical subsidence by month in 2017. On the bottom of the figure, profiles of the DEM surface and depth and thickness of coal seam are presented. The maximal values of subsidence are also juxtaposed (see Figure 18) with the theoretical amount of extracted material from both longwalls as a function of the area of the panels and the thickness of the extracted coal seam. Figure 18 shows good agreement of the DInSAR subsidence (blue line) with the averaged total extraction of the coal (black line) with an eight-month shift between extraction and deformation registration. This agreement is emphasised by correlation coefficient of 53%. Closer observation of the plot reveals particular discrepancies between the two compared graphs, which correspond to the DInSAR data with lower quality, namely those from January, February, November, and December 2017 (see Figure 4). Excluding these months leads to a correlation coefficient of 90%. Our further investigation will be focused on detailed study of these deviations during the winter season and the relation with the tropospheric artefacts in the radar signal. On the other hand, the model (red line in Figure 18) follows the extraction (black) line to a lesser degree (19%), especially at the ending four months of the comparable period. Another analysed parameter is the vertical velocity of the extremal subsidence points in both the DInSAR and model data. Figure 19 shows that the DInSAR-based velocity (Equation (5)) is four-times smaller (5 mm/day) than the model-based velocity (20 mm/day). Both are linear with slightly increasing values for DInSAR velocity from 5-8 mm/day.