## 4 Analysis of the Influence of Blasting Vibrations on Slope Stability
### Blasting Vibration Test
#### 4.1.3 Blasting Vibration Monitoring Results  
According to the _Technical Code for the Safety Monitoring of Slopes of Metallic and Non-metallic Open-Pit Mines_ (AQ2063-2018), the monitoring points of blasting vibration velocity should be set at the foot of the slope in the main sliding direction of the slope, and there should be more than three monitoring points. The velocity of the particle in the three directions of X, Y, and Z should be monitored at the same time, and the maximum value in the three directions should be taken as the maximum value of the particle. Monitoring accuracy should be less than 0.001 cm/s. After monitoring, 13 groups of effective data for the peak vibration velocity, acceleration, and main vibration frequency of the particles were obtained. The monitoring results of each blasting vibration are shown in Table 3. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Blast Area**} & \multicolumn{3}{c}{**Blasting Zone Center Coordinates**} \\ \cline{2-5}  & \multicolumn{1}{c}{**X**} & \multicolumn{1}{c}{**Y**} & \multicolumn{1}{c}{**Z**} \\ \hline A & 566,644.7281 & 3,201,628.888 & \(-\)31.3655 \\ B & 566,624.6358 & 3,201,261.0618 & \(-\)42 \\ C & 566,965.4442 & 3,201,443.7396 & \(-\)42 \\ D & 566,890.1092 & 3,201,446.9961 & \(-\)56 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Center coordinates of the blasting area. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Blast Area**} & \multicolumn{2}{c}{**Maximum**} & \multirow{2}{*}{**Measuring**} & \multicolumn{2}{c}{**Distance between the Center of Blasting**} \\  & \multicolumn{1}{c}{**One-Stage**} & \multicolumn{1}{c}{**Point**} & \multicolumn{2}{c}{**Area and the Measuring Point (m)**} \\ \cline{5-6}  & \multicolumn{1}{c}{**Charge (kg)**} & & \multicolumn{1}{c}{**Level**} & \multicolumn{1}{c}{**Vertical**} & \multicolumn{1}{c}{**Straight Line**} \\ \hline \multirow{4}{*}{A} & \multirow{4}{*}{410} & A1 & 242.46 & 1.13 & 242.47 \\  & & A2 & 223.98 & 1.28 & 223.98 \\  & & A3 & 210.07 & 1.13 & 210.08 \\  & & A4 & 24.64 & 11.92 & 27.37 \\  & & A5 & 46.11 & 12.05 & 47.66 \\ \hline \multirow{4}{*}{B} & \multirow{4}{*}{250} & B1 & 140.22 & 114.62 & 181.11 \\  & & B2 & 226.98 & 113.15 & 253.62 \\ \cline{1-1}  & & B3 & 266.25 & 113.81 & 289.56 \\ \cline{1-1}  & & B4 & 393.24 & 113.74 & 409.36 \\ \cline{1-1}  & & B5 & 416.99 & 114.42 & 432.40 \\ \hline \multirow{4}{*}{C} & \multirow{4}{*}{400} & C1 & 155.16 & 113.79 & 192.41 \\  & & C2 & 149.96 & 114.04 & 188.39 \\ \cline{1-1}  & & C3 & 149.66 & 113.90 & 188.08 \\ \cline{1-1}  & & C4 & 148.56 & 113.52 & 186.97 \\ \cline{1-1}  & & C5 & 158.02 & 113.59 & 194.61 \\ \hline \multirow{4}{*}{D} & \multirow{4}{*}{380} & C1 & 225.14 & 127.79 & 258.88 \\ \cline{1-1}  & & C2 & 224.09 & 128.04 & 258.09 \\ \cline{1-1} \cline{2-2}  & & C3 & 224.90 & 127.90 & 258.73 \\ \cline{1-1}  & & C4 & 223.96 & 127.52 & 257.71 \\ \cline{1-1}  & & C5 & 232.47 & 127.59 & 265.18 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Vibration point coordinates. For specific seismic wave propagation conditions, the particle vibration velocity is related to the charge weight and the distance from the particle to the center of the explosion source. The relationship of peak particle vibration velocity with charge weight, distance, site factor \(K\), and the attenuation index \(\alpha\) conforms to [PERSON]'s formula:  
\[V=K(\frac{Q^{\frac{1}{3}}}{R})^{\alpha}=K\rho^{\alpha} \tag{1}\]  
In Formula (1), \(V\) is the peak vibration velocity of particle, and the unit is cm/s. \(Q\) is the amount of explosive, and the unit is kg. \(R\) is the distance between the measuring point and the center of the explosion source, and the unit is m. \(K\) is a coefficient related to rock properties, blasting methods, and other factors, namely the site factor. \(\alpha\) is the seismic wave attenuation index, related to geological conditions. \(\rho\) is the proportional dose.