Abstract: The software LS-DYNA was employed to build model for blast vibration with a single hole.The influence of blast vibration to the goaf was analyzed,and the fitted prediction formula of the vibration velocity on the goaf roof was obtained.The main factors affecting the blasting vibration on goaf were determined.Combining with the dimensional theory of homogeneous analysis,the blasting vibration peak velocity prediction formula of goaf roof was obtained,and Matlab software is used to make regression fitting to get correlation coefficient of blasting vibration peak velocity prediction formula of goaf roof.The maximum charge weight of blasting to guarantee safety can be calculated and the vibration peak velocity can be predicted according to actual engineering,which can provide theoretical guide for in situ blast construction design.

Key words: Blast vibration, Goaf, LS-DYNA, Dimensional analysis