## 2 Tests on the Effects of ADNB on the Slip Resistance of Borrowed Soil of Rock Slopes
### Analysis of the Test Results  
Through the above three tests, the influence law of ADNB on the slip resistance of soil was obtained. Table 3 lists the values of the average particle diameter, permeability coefficient, cohesive force, and internal friction angle of the soil samples for the different contents and application processes. The average particle diameter \(d_{50}\) is the value at which the content of particles larger or smaller than this diameter in the soil sample accounts for 50%. The \(d_{50}\) can be used to measure the soil thickness. ADNB agglomerated the very small particles into large aggregate structure units. Therefore, the average particle diameter of the soil samples increased. The mass ratio of the large-diameter particle group in the soil samples was improved. Compared with the blank group (i.e., the 0% polymer content group), the average particle diameter of the soil samples in both groups increased. The average particle  
Figure 6: Mohr stress circles. diameter of the mixing group increased by 2.3-3.2 mm, and that of the spraying group increased by 0.2-1.9 mm. In regard to the permeability, the permeability coefficient of the 5% mixing group increased by 2147% compared with the 0% mixing group. This was the largest increase. The permeability coefficient of the spraying group first increased and then decreased. When the content was 0.1%, the permeability coefficient reached a peak. Compared with the 0% spraying group, the increase was 243%. After the content became higher than 0.1%, the permeability coefficient presented a downward trend and then tended to be stable. When the content was 5%, the permeability coefficient was the lowest. Its value was 97% lower than that of the 0% spraying group. In terms of the cohesive force, the \(c\) value of the 0% mixing group was only 19.0 kPa, and the \(c\) value of the 5% mixing group was 38.2 kPa. It was 101% higher than that of the 0% mixing group. The \(c\) value of the 0% spraying group was only 19.1 kPa, but that of the 5% spraying group was 32.6 kPa. It was 71% higher than that of the 0% spraying group. With regards to the internal friction angle, that of the 5% mixing group increased the most (i.e., an increase of 79% compared to the 0% mixing group). The increase in the internal friction angle of the spraying group was small. The 5% ADNB content resulted in the largest increase--only 21% higher than that of the 0% group. Overall, the average particle diameter, permeability coefficient, cohesive force, and internal friction angle of the clay increased significantly after the soil was treated. These effects enhanced the slip resistance of the soil. In addition, both application processes were effective for soil improvement. The improvement of the mixing process was better. Quantitative Characterization of the ADNB Effects on the Slip Resistance of Borrowed Soil of Rock Slopes  
Based on the test results, quantitative characterization models were established to describe the influence of ADNB on the slip resistance of the borrowed soil of rock slopes. Relationship diagrams of the average particle diameter, cohesive force, internal friction angle, and ADNB content were plotted in the single-logarithmic coordinate system (Figures 7-9, respectively). A relationship diagram of the permeability coefficient and the content of ADNB was plotted in the Cartesian coordinate system (Figure 10). Through data fitting, the quantitative characterization models were obtained as follows:  
\[\left\{ \begin{array}{l}d_{50M}=15.27d^{\prime}_{50M}+116.50\tan(d^{\prime}_{ 50M})\log x\ \ (0\leq x\leq 5\%,R=0.82)\\ d_{50S}=7.93d^{\prime}_{50S}+118.89\tan(d^{\prime}_{50S})\log x\ \ (0\leq x\leq 5\%,R=0.86) \end{array} \right., \tag{2}\]  
\[\left\{ \begin{array}{l}c_{M}=2.35c^{\prime}_{M}+25.25\tan(\varphi^{\prime}_ {M})\log x\ \ (0\leq x\leq 5\%,R=0.97)\\ c_{S}=2.07c^{\prime}_{S}+24.77\tan(\varphi^{\prime}_{S})\log x\ \ (0\leq x\leq 5\%,R=0.98) \end{array} \right., \tag{3}\]