## 3 Simulation Experiment
### Experimental Design and Results Analysis  
In order to verify the feasibility of the InSAR-DIB dynamic prediction model based on the edge correction model, the simulation experiment first used the MPGA algorithm to invert the edge settlement information of the two InSAR monitoring pairs obtained from 12 to 36 days and 36 to 60 days to obtain the parameters of the DIB prediction model. Then, the obtained DIB prediction model parameters were used to make a prediction comparison with the LOS deformation values obtained from 84 and 108 days to verify the accuracy of the prediction model. According to the LOS deformation values obtained from the simulation, according to the layout of conventional surface movement deformation observation stations (strike lines are numbered L1\(\sim\)L181, and dip observation lines are numbered S1-S101), the edge areas with LOS deformation values of less than 60 mm at intervals of 12-36 and 36-60 days were extracted (12-36 days (L1-L21, L68-L97), 36-60 days (L1-L31, L80-L97)). According to the principles of the DIB prediction model, the MPGA algorithm was used to obtain the DIB prediction model parameters through inversion. The comparison between the inverted and design parameters is shown in Table 1, and the fitting effect diagram is shown in Figure 4.  
It can be seen from Table 1 that the absolute errors of the 11 parameters range from 0.004 to 1.707, of which the largest is the absolute error corresponding to the mining influence angle, which is 1.707. However, its sensitivity to the results was relatively low, and the relative errors corresponding to the remaining parameters were between 0.004 and 0.753. The relative errors corresponding to the 11 parameters were between 0.135 and 7.533%, of which the relative errors corresponding to the four inflection point offsets were relatively large. In the conventional parameter determination process, multiple groups of different inflection point offsets can often obtain similar results, so the combination of inflection point offsets has little effect on the overall parameter determination. From the comparison chart of the measured values and the fitting graph (Figure 4), it can be seen that the LOS edge fitting values and the measured values had basically the same trend. The mean error of the fitting from the 12 th to the 36 th day was 0.026 mm, and the absolute \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline
**Parameter** & \(q\) & \(P\) & \(b\) & \(\theta\) & \(S_{1}\) & \(S_{2}\) & \(S_{3}\) & \(S_{4}\) & \(\mathbf{tan\beta_{1}}\) & \(\mathbf{tan\beta_{2}}\) & \(C_{0}\) \\ \hline Design value & 0.9 & 0.4 & 0.3 & 89 & 10 & 10 & 10 & 10 & 1.1 & 4.1 & 3 \\ Fitted value & 0.883 & 0.396 & 0.296 & 87.29 & 10.07 & 9.247 & 10.32 & 10.52 & 1.099 & 3.933 & 3.080 \\ Absolute error & 0.017 & 0.004 & 0.004 & 1.707 & 0.078 & 0.753 & 0.320 & 0.525 & 0.001 & 0.167 & 0.080 \\ Relative error & 1.936 & 0.968 & 1.301 & 1.918 & 0.784 & 7.533 & 3.203 & 5.251 & 0.135 & 4.080 & 2.671 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Comparison of the simulated and measured parameters. Figure 4: Comparison of the measured and fitted LOS deformation values: (**a**) 12-36 days; (**b**) 36–60 days. error of the fitting was between 0 and 0.086 mm. The mean error of the fitting from the 36 th to the 60 th day was 0.316 mm, and the absolute error of the fitting was between 0.05 and 1.02 mm. Good fitting effects were achieved. According to the obtained DIB prediction parameters, the surface LOS deformation, subsidence, and horizontal movement on the 84 th and 108 th days were predicted, and the deformation values of the strike and dip lines were extracted. A comparison between the predicted values and the measured values is shown in Figures 5 and 6. From Figures 5 and 6, it can be predicted that the LOS deformation and the measured LOS deformation will be in good agreement. The statistics show that the mean error of the  
Figure 5: A comparison of the predicted and measured values when the working face advanced to the 84 th day.