## 3 Analysis of Slurry Diffusion Test Results
### Analysis of the Influence Degree of Independent Variables
#### 3.2.2 Analysis of Variance  
On the basis of range analysis, the significance level of each factor was further studied by variance analysis, as shown in Tables 7-9. In this orthogonal experiment, the degree of freedom of each factor is 2, and the significance level = 0.01, 0.1 is selected. By calculating the statistics of each factor and comparing with the critical value, the significance level of each factor on the peak value of drawing force, ultimate displacement, anchorage diameter and equivalent bond strength is determined. Among them, \"***\" is very significant, \"***\" is significant, and \"--\" is not significant. From the data presented in the table, it is evident that the proportion of fine particles exerts a highly significant influence on both the peak pull-out force and the diameter of the anchorage body, while its impact on the ultimate displacement is also significant. This suggests that self-drilling anchors exhibit superior anchoring performance in soil layers with a lower proportion of fine particles. The influence of grouting pressure is only significant in relation to the diameter of the anchorage body, with no notable impact on other factors. This indicates that controlling grouting pressure primarily affects the size of the anchorage body, with limited contribution to enhancing the overall anchorage performance of self-drilling bolts. The water-cement ratio significantly influences the peak pull-out force and the diameter of the anchorage body, but its effect on the ultimate \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Parameter**} & **Proportion of** & **Injection** & **Water Cement** & \multirow{2}{*}{**Error**} \\  & **Fine Particles** & **Pressure** & **Ratio** & \\ \hline \(K_{1}\) & 78.30 & 51.80 & 45.40 & 52.50 \\ \(K_{2}\) & 42.60 & 43.70 & 52.60 & 50.40 \\ \(K_{3}\) & 28.50 & 53.90 & 51.40 & 46.50 \\ \(\overline{K}_{1}\) & 26.10 & 17.27 & 15.13 & 17.50 \\ \(\overline{K}_{2}\) & 14.20 & 14.57 & 17.53 & 16.80 \\ \(\overline{K}_{3}\) & 9.50 & 17.97 & 17.13 & 15.50 \\ \(L\) & 16.60 & 3.40 & 2.40 & 2.00 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Analysis of anchor solid diameter range. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Parameter**} & **Proportion of** & **Injection** & **Water Cement** & \multirow{2}{*}{**Error**} \\  & **Fine Particles** & **Pressure** & **Ratio** & \\ \hline \(K_{1}\) & 319.00 & 175.00 & 136.00 & 186.00 \\ \(K_{2}\) & 124.00 & 146.00 & 206.00 & 163.00 \\ \(K_{3}\) & 62.00 & 184.00 & 163.00 & 156.00 \\ \(\overline{K}_{1}\) & 106.33 & 58.33 & 45.33 & 62.00 \\ \(\overline{K}_{2}\) & 41.33 & 48.67 & 68.67 & 54.33 \\ \(\overline{K}_{3}\) & 20.67 & 61.33 & 54.33 & 52.00 \\ \(L\) & 85.67 & 12.67 & 23.33 & 10.00 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Pullout peak range analysis of bolt. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Parameter**} & **Proportion of** & **Injection** & **Water Cement** & \multirow{2}{*}{**Error**} \\  & **Fine Particles** & **Pressure** & **Ratio** & \\ \hline \(K_{1}\) & 18.78 & 16.74 & 14.61 & 15.52 \\ \(K_{2}\) & 12.28 & 13.71 & 12.95 & 15.44 \\ \(K_{3}\) & 12.49 & 13.10 & 15.99 & 12.59 \\ \(\overline{K}_{1}\) & 6.26 & 5.58 & 4.87 & 5.17 \\ \(\overline{K}_{2}\) & 4.09 & 4.57 & 4.32 & 5.15 \\ \(\overline{K}_{3}\) & 4.16 & 4.37 & 5.33 & 4.20 \\ \(L\) & 2.17 & 1.21 & 1.01 & 0.98 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Analysis of limit displacement range of anchor rod. displacement is negligible. It is postulated that the strength of the interface between the anchorage body and the soil is affected by variations in the water-cement ratio. By optimizing this ratio, interfacial strength can be increased, leading to improved performance of self-drilling anchors.