# Research on an Evaluation Method for the Adaptability of TBM Tunnelling
## 4 Case Study
### TBM Tunnelling Adaptability Evaluation  
The AHP-EW method and fuzzy comprehensive evaluation method have the characteristics of clear logic and easy quantification. We only need to obtain the corresponding data from the selected section and bring them into the fuzzy membership function mentioned above to obtain the adaptability of each index. After the adaptability of each index \begin{table}
\begin{tabular}{c c c c} \hline \hline \(P_{3}\) & \(U_{8}\) & \(U_{9}\) & \(U_{10}\) & \(U_{11}\) \\ \hline \(U_{8}\) & 1 & 2 & 1/2 & 4 \\ \(U_{9}\) & 1/2 & 1 & 1/4 & 2 \\ \(U_{10}\) & 2 & 4 & 1 & 1/8 \\ \(U_{11}\) & 1/4 & 1/2 & 8 & 1 \\ \(\omega^{\prime}\) & 0.3647 & 0.1538 & 0.2401 & 0.2414 \\ \hline \hline \end{tabular}
\end{table} 
Table 16: Weight correction coefficient of adverse geology. \begin{table}
\begin{tabular}{c c c c} \hline \hline \(P_{3}\) & \(U_{8}\) & \(U_{9}\) & \(U_{10}\) & \(U_{11}\) \\ \hline \(U_{8}\) & 1 & 2 & 1/2 & 4 \\ \(U_{9}\) & 1/2 & 1 & 1/4 & 2 \\ \(U_{10}\) & 2 & 4 & 1 & 1/8 \\ \(U_{11}\) & 1/4 & 1/2 & 8 & 1 \\ \(\omega^{\prime}\) & 0.3647 & 0.1538 & 0.2401 & 0.2414 \\ \hline \hline \end{tabular}
\end{table} 
Table 17: Weight coefficients of each evaluation index on TBM tunnelling adaptability. \begin{table}
\begin{tabular}{c c c c} \hline \hline \(D\) & \(P_{3}\) & \(P_{2}\) & \(P_{1}\) \\ \hline \(P_{3}\) & 1 & 1 & 2 \\ \(P_{2}\) & 1 & 1 & 2 \\ \(P_{1}\) & 1/2 & 1/2 & 1 \\ \(\omega\) & 0.394 & 0.394 & 0.212 \\ \hline \hline \end{tabular}
\end{table} 
Table 13: Weight correction coefficient of the criteria layer to the target layer. \begin{table}
\begin{tabular}{c c c c} \hline \hline \(P_{2}\) & \(U_{4}\) & \(U_{5}\) & \(U_{6}\) & \(U_{7}\) \\ \hline \(U_{4}\) & 1 & 1 & 3 & 3 \\ \(U_{5}\) & 1 & 1 & 3 & 3 \\ \(U_{6}\) & 1/3 & 1/3 & 1 & 1 \\ \(U_{7}\) & 1/3 & 1/3 & 1 & 1 \\ \(\omega\) & 0.3987 & 0.3987 & 0.1027 & 0.0998 \\ \hline \hline \end{tabular}
\end{table} 
Table 15: Weight correction coefficient of geological conditions. is formed into the adaptability vector in order and multiplied by the weight vector, we can obtain the tunnelling adaptability score of a TBM in the selected section. Finally, corresponding to the adaptability standard, the tunnelling adaptability evaluation results of a TBM can be obtained. We selected three typical interval tunnels (K112+000-K114+000, K2+310-K4+310, and K18+500-K20+500) from hydraulic engineering in Xinjiang, which, combined with the fuzzy membership function mentioned in Section 3 and the weight coefficient in Section 4.1, as well as with the project data shown in Table 18, evaluated the TBM tunnelling adaptability of three typical interval tunnels of Xinjiang hydraulic engineering. The RPM, torque, and thrust come from the TBM's own tunnelling parameter recording system; the rock mass integrity coefficient is obtained by measuring the wave velocity of the rock mass through drilling; the uniaxial compressive strength is measured by a coring test in the tunnel; the crustal stress is obtained by the hydraulic fracturing method; the width of fault fracture zones and unit water inflow are obtained by geological exploration reports and on site construction records; the CAI is measured by the Cerchar abrasion test; and the deformation of the surrounding rock is obtained by total station and reflective film. We bring the obtained data into the membership function to obtain the adaptability value of each evaluation index, as shown in Table 19.  
Based on this, the adaptability evaluation results are as follows in Equations (35)-(37): K112+000-K114+000 section:  
\[\left( \begin{array}{c}1\\ 0.85\\ 0.688\\ 0.819\\ 0.4\\ 0.2\\ 0.311\\ 0.709\\ 1\\ 0.9\\ 1\end{array} \right)^{T}\times\left( \begin{array}{c}0.0382\\ 0.0712\\ 0.1025\\ 0.1571\\ 0.1571\\ 0.0405\\ 0.1437\\ 0.0946\\ 0.0951\end{array} \right)=0.72 \tag{35}\]  
After calculation, the TBM tunnelling adaptability value of a section of K112+000-K114+000 is 0.72, which belongs to being adaptable. From the actual excavation situation,