## 4 Conclusions  
Reducing blast vibration hazard at arbitrary locations around the blasting area is fundamental to achieving comprehensive and precise vibration control. The delay time determined based on vibration control requirements at a specific location often fails to meet the vibration control requirements at other locations. By ensuring the superposition and cancellation effect of vibration wave peaks and troughs, localized adjustments to the delay times are implemented to separate vibration waves during clustering arrival periods, thereby reducing vibrations while maintaining the original blasting effectiveness. The specific conclusions are as follows:  
1. Based on the spatiotemporal relationship between blast holes and monitoring points, a computational method is established to determine the arrival time sequences of vibration waves from any blast hole to different monitoring points. The vibration induced by multi-hole blasting is the result of superimposing single-hole vibration waves according to their arrival time sequences. As the arrival time sequence varies with the location of the monitoring point, the optimal delay time for a specific location often fails to meet the vibration control requirements at other locations. The vibration control method proposed in this study, which builds upon the original delay design,  
Figure 15: Comparison of predicted vibration curves before and after adjustment. achieves precise vibration control by separating vibration waves during clustering arrival periods while maintaining the fragmentation effectiveness of the original blasting scheme. 2. For vibration control at a single monitoring point, the number of wave arrivals within each fixed time interval is statistically analyzed based on the principle of wave arrival time sequence calculation. By identifying time intervals with a high number of simultaneous wave arrivals and their corresponding blast holes, the delay times of these holes are adjusted to effectively reduce the number of arriving vibration waves within these intervals, thereby significantly lowering the high-probability vibration hazard. Taking Monitoring Point B1 as an example in Section 3.2, within the time range of 1800 to 2670 ms, the number of vibration waves arriving at the monitoring point simultaneously after the adjustment decreased from 5 to less than 3. The peak value of the vibration decreased by more than 10.55%, and the RMS value decreased by 17.86%. 3. For vibration control across multiple monitoring points, the maximum number of simultaneous wave arrivals at each monitoring point is statistically analyzed based on the principle of wave arrival time sequence calculation. A precise identification method for high-probability vibration hazard locations around the blasting area is proposed, providing critical targets for vibration control. By identifying time intervals with a high number of wave arrivals and their corresponding blast holes at these locations, the number of arriving vibration waves within these intervals is sequentially reduced, successfully eliminating vibration hazards at these points. In Section 3.3, a total of 7 locations with a high probability of vibration hazards in 2 directions were identified around the experimental blasting area. Among these, the maximum number of vibration waves arriving simultaneously reached 6. Taking Monitoring Point A1 as an example, after the adjustment, all the locations with a high probability of vibration hazards were eliminated. The number of locations where the number of simultaneously arriving waves was 5 decreased by 88.57%. Following the delay adjustment, the peak superimposed vibration velocity was reduced by 14.05%, while the root mean square (RMS) velocity within the monitoring window (1800-3320 ms) decreased by 18.33%, corresponding to a 1.76 dB reduction and a 33.31% attenuation in vibrational energy. Effective control of blasting vibration in all directions around the blasting area was realized. This method has wide applicability and practicality.