Modeling and Prediction of Underground Blasting Vibration

"INTRODUCTION Over the past twenty years this Linear-Regression Modeling has become widely accepted for ensuring limits are not exceeded at a site, using the Scaled-Distance variable. In today’s industry, numerous equations are present for different scenarios, geologic environments, hole sizes, and numerous other factors with an emphasis on site-specific equations developed for all major projects; however, underground blasting applications have not been analyzed to a great degree of detail. Without previous knowledge this puts underground blasting operations into a guessing-game to ensure that vibration levels are not exceeded. This paper will review two recent projects that have been worked on by the authors and linear-regression models that were used with both burn cuts and stope blasts. BLAST VIBRATIONS MODELING The first major research project conducted in the United States on blasting vibration was Bulletin 442 (Thoenen & Windes, 1942) which looked at the relationship between blasting and blast vibrations in the fall of 1940. This study examined numerous blasts and began the investigation into topics such as damping, structural damage from vibrations, frequency dependency on vibration, resonance vibration, delayed blasting, and numerous other factors. Bulletin 442 had two major conclusions which are: 1. The vibration from a blast can be predicted with a relationship of size of the shot and distance to the structure (now known as scaled distance) 2. “The vibration of a structure at resonance does not in itself cause damage because of the restraining effect of damping inherent in the building” (Thoenen & Windes, 1942) Due to the increase of blasting near homes and busier areas the USBM commissioned an additional study to further develop a few of the topics covered in Bulletin 442; this study would go on to be published as RI 6561 (Duvall, Johnson, Meyer, & Devine, 1963) with the study looking into delayed blasting and the relationship between charge weight, distance, and peak particle velocity of the blast. This relationship would be termed as the ‘scaled-distance’ and take the form of:"