Evolution Mechanism and Quantitative Prediction Model of Slope Stability under Cumulative Blasting Vibration Effects

To investigate the multi-parameter coupling effects of blasting vibration on slope dynamic stability, a case study of an open-pit mine in Jiangxi was conducted based on a non-stationary blasting vibration prediction model developed by the research group. Through parameter sensitivity analysis, quantitative mapping relationships between model parameters and waveform characteristics were established. A large-sample parameter determination method based on field-measured waveforms was proposed, with validation results showing high agreement between simulated and measured waveforms in terms of peak vibration velocity (relative error: 1.24%) and dominant frequency (relative error: 0.37%). FLAC3D cyclic loading simulations revealed that when vibration velocity increased from 7.7 to 12 cm/s, the critical number of cycles for slope instability decreased significantly, with displacement and stress concentration increasing by approximately 30% and 35%, respectively. When the dominant frequency rose from 25 to 50 Hz, the safety factor decreased markedly, accompanied by increases of about 40% in displacement response and 25% in stress fluctuation amplitude. Based on numerical results, a safety factor fitting equation was established using multiple nonlinear regression, achieving a prediction error of no more than 6.74%. This established a quantitative correlation model between cumulative blasting vibration effects and slope stability, providing a convenient and reliable method for dynamic slope safety assessment.