Theoretical Modeling of Rock Yielding Critical Vibration Velocity Based on Blasting Seismic Wave

Aiming at the existing blasting seismic wave stress calculation formula mainly considers the source parameters and ignores the influence of the propagation medium, using the method of magnitude analysis, the blasting seismic wave stress equation of the rock body is deduced, and the theoretical calculation model of the critical vibration velocity of the rock body yielding is established by combining with the DP yielding criterion. The results show that: The magnitude of positive stress is positively correlated with the vibration velocity and the mechanical parameters of the medium. When the vibration velocity is certain, the smaller the elastic modulus is, the more obvious the change of positive stress in the medium is; when the elastic modulus is certain, the larger the vibration velocity is, the more obvious the change of positive stress in the medium is; compared with the empirical formulas, the theoretical model of the positive stress in blast seismic wave has a wider scope of application, and it can simulate the propagation of seismic waves in different medium materials and seismic wave conditions more accurately; based on the DP yield criterion, the blast seismic wave stress equation is adopted Based on the DP yield criterion, the blasting seismic wave stress equation is used to accurately predict the critical vibration velocity of different media materials when they reach yield.