Abstract
An analytical expression, consisting of a series of transcendental functions, has been developed to simulate the waveform of an underwater explosive source. From this model the source spectrum may be calculated as function of charge weight and detonation depth. Energy flux density spectrum levels for 1.8-lb TNT charges detonated at 60, 300, and 800 ft have been computed for ANSI 1/3-octave bands in the range 10–1780 Hz. Comparison with results of a study by Gaspin and Shuler utilizing waveforms constructed from actual measurements of explosive parameters shows a mean difference of 0.6 dB and a standard deviation of 0.8 dB, above the bubble frequency. Agreement below this frequency is less satisfactory. The spectrum characteristics below the bubble frequency are not well understood but parameters associated with the first bubble pulse are shown to be important in this region. Preliminary studies of the sensitivity of the spectrum to changes in value of waveform parameters indicate the accuracies to which the magnitudes of various parameters must be known. Farther studies show the effects of small variations in detonation depth.
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