Abstract: The particle peak velocity prediction of blasting vibration is an important part of blasting design and blasting disaster control.Based on dimensional analysis theory，the terrain （elevation difference and horizontal distance） influence factors between the blasting vibration velocity monitoring point and the explosion source are considered，and the peak velocity prediction formula of the blasting vibration is reconstructed.Combined with the actual measured data of blasting vibration in a mine，the comparing work is taken with multivariate nonlinear regression fitting method between the prediction results of new formula and other formulas.The results show that the blasting vibration particle peak velocity formula based on dimensional analysis is more accurate，the average relative error between the predicted and measured peak velocity of the particle vibration in horizontal radial，horizontal tangential，vertical direction is the smallest，which is respectively 14.62％，12.46％and 12.17％，and the prediction accuracy is 5.01%~10.28%，1.92%~10.55% and 6.07%~16.16% higher than that of the existing formulas respectively.

Key words: Blasting vibration, Peak particle velocity, Dimensional analysis, Multivariate nonlinear regression fitting