SCALING THE ENERGY SPECTRA OF UNDERWATER EXPLOSION SHOCK WAVES
NAVAL ORDNANCE LAB WHITE OAK MD
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Scaling factors with which the energy spectrum for an underwater shock wave can be scaled from one set of conditions i.e., explosive composition, charge weight, and range to a second set of conditions are derived. Analogous scaling factors for an ideal acoustic wave are also shown. The spectrum measured at 1 yard from a 1-lb charge is scaled to two other conditions viz., 100 yards from a 1-lb charge, and 280 yards from a 1.8-lb charge for which measured values are also available. In both cases the explosion scaling is in agreement with the data whereas the ideal acoustic scaling gives spec trum levels that are two high at the higher fre quencies. The allowable ranges of variables for the spectrum scaling functions shown here are estimated to be 0. 5 greater than the frequency kc and less than 20 where W to the 13 power divided by R ranges between 4 x 0.0001 and 3, where W is charge weight in pounds and R is range in yards. Details of the spectral analysis of measured shock waves and a method of esti mating the effect of explosive composition on spectrum level are given in appendices.