Hemispherical Charge Comparison to Kingery Bulmash

The Kingery-Bulmash (K-B) equations are a widely accepted means of predicting air-blast parameters from surface explosive detonations. The parameters predicted from these calculations include incident and reflected pressure, time of arrival, shock front velocity, incident impulse, reflected impulse, and positive phase duration. K-B calculations are based on curve fitting of experimental data and can be used to predict air-blast parameters for explosive weights from less than 1 kg (2.2 pounds) up to 400,000 kg (440.9 US Tons), and ranges of 0.05 to 40 meters (1.9 inches to 131.2 feet). The K-B equations can also determine the parameters for multiple explosive types using scaled distances and relative equivalency to TNT. An experiment was designed to demonstrate if the measured results for incident pressure, time of arrival, shock front velocity, incident impulse, and positive phase duration equal the expected results reported for the detonation of a small quantity of explosive determined by the K-B Calculator. Three surface-detonated 300-gram (0.66 pound) hemispherical charges of Composition C-4 were observed via high-speed imaging and hydrostatic pressure monitoring. The hydrostatic pressure generated from each charge was measured via piezoelectric pressure transducers at a scaled distance of 10 from the charge epicenter, and at elevations of 0.30, 0.61, and 1.22 meters (1, 2, and 4 feet) above ground level. Variances in experimental values from the K-B predicted values were recorded for each measured blast parameter. Time of arrival, which was redundantly confirmed through high-speed imaging analysis and hydrostatic pressure monitoring, showed the highest deviation from the predicted values at more than double the K-B predicted value. This report compares the observed blast parameters from the test series with the expected blast parameters from the Kingery-Bulmash Blast Parameter Calculator. Differences between the experimental and predicted values are reconciled through analysis and discussion of testing conditions, instrumentation setup, and scaling methods.