## 3 Example Analysis and Verification
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Position**} & \multicolumn{6}{c}{**Calculation Results/kPa**} & \multicolumn{6}{c}{**Monitoring Data/kPa**} \\ \cline{2-10}  & \(m=1.0\) & \(m=1.2\) & \(m=1.5\) & **[PERSON]** & **Bierbaumer** & **[PERSON]** & **Left Side** & **Right Side** & **Average** \\ \hline A & 74.57 & 73.40 & 68.20 & 73.78 & 76.58 & 80.38 & 61.87 & 65.50 & 63.685 \\ B & 80.86 & 83.00 & 81.34 & 83.75 & 86.25 & 89.65 & 75.40 & 79.49 & 77.445 \\ C & 96.31 & 94.14 & 92.15 & 103.63 & 106.13 & 109.53 & 96.28 & 101.09 & 98.685 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Comparison with the monitoring data. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Rock Mass** & **Physical and Mechanical** & **Statistical** & **Mean** & **Standard** & **Coefficient of** \\
**Classification** & **Parameters** & **Distribution Type** & **Deviation** & **Variation** \\ \hline \multirow{4}{*}{V} & Unit weight/kN/m\({}^{3}\) & Normal & 18 & 0.9 & 0.05 \\  & Cohesive force/kPa & Normal & 46.30 & 19.45 & 0.42 \\  & tan \(\varphi\) & Normal & 0.57 & 0.12 & 0.21 \\  & tan \(\varphi\) & Normal & 1 & 0.25 & 0.25 \\  & Unit weight/kN/m\({}^{3}\) & Normal & 16 & 0.8 & 0.05 \\  & Cohesive force/kPa & Normal & 12.45 & 5.60 & 0.45 \\  & tan \(\varphi\) & Lognormal & 0.54 & 0.11 & 0.20 \\  & tan \(\varphi_{c}\) & Normal & 0.7 & 0.25 & 0.175 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Statistical distribution of the physical and mechanical parameters of class V and VI surrounding rocks. the order: total soil column formula \(>\) Xie Jiajie formula \(>m=1.5>m=1.2>m=1.0>\) Terzaghi formula. When the burial depth of the tunnel is 15 m, the mean values of the surrounding rock stresses calculated by individual formulas follow order: total soil column formula \(>\) [PERSON] formula \(>m=1.0>m=1.5>m=1.2>\) Terzaghi formula. When the burial depth of the tunnel is 25 m, the mean values of the surrounding rock stresses calculated by individual formulas follow the order: total soil column formula \(>\) Xie Jiajie formula \(>m=1.5>m=1.2>m=1.0>\) Terzaghi formula. Figure 5: \(Cont.\)  
Figure 5: Statistical characteristics of class V and VI surrounding rocks at different burial depths. (**a**) Statistical characteristics of the surrounding rock stresses at 5 m burial depth for class V surrounding rock. (**b**) Statistical characteristics of the surrounding rock stresses at 15 m burial depth for class V surrounding rock. (**c**) Statistical characteristics of the surrounding rock stresses at 25 m burial depth for class V surrounding rock. (**d**) Statistical characteristics of the surrounding rock stresses at 5 m burial depth for class VI surrounding rock. (**e**) Statistical characteristics of the surrounding rock stresses at 15 m burial depth for class VI surrounding rock. (**f**) Statistical characteristics of the surrounding rock stresses at 25 m burial depth for class VI surrounding rock. Figure 6: Mean values of the surrounding rock stresses at different burial depths. (**a**) Mean values of the surrounding rock stresses using individual formulas at 5 m burial depth. (**b**) Mean values of the surrounding rock stresses using individual formulas at 15 m burial depth. (**c**) Mean values of the surrounding rock stresses using individual formulas at 25 m burial depth. As shown in Figure 6, for class VI surrounding rock, when the burial depth of the tunnel is 5 m, the mean values of the surrounding rock stresses calculated by individual formulas follow the order: total soil column formula > [PERSON] formula > \(m=1.5>m=1.2\) > \(m=1.0>\) Terzaghi formula. When the burial depth of the tunnel is 15 m, the mean values of the surrounding rock stresses calculated by individual formulas follow the order: total soil column formula > [PERSON] formula > \(m=1.5>m=1.2>m=1.0>\) Terzaghi formula.