On the Acoustic Impulse Conservation law for Long Range Sound Propagation in the Atmosphere

Computer Science – Sound

Scientific paper

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3367 Theoretical Modeling, 3379 Turbulence, 3384 Waves And Tides

Scientific paper

An experimental confirmation of the acoustic impulse conservation law (where I is the acoustic impulse with a wave profile area, S in pressure, p and time, t coordinates multiplied by the range, r from the explosion) for long range infrasound propagation in the atmosphere will be presented. Data on infrasonic arrivals at long distances (up to 300 km) from explosions with yields of 100 kg to 2000 tons (TNT equivalent) in different seasons have been analyzed. Using these data we obtained the empirical relation; Io = 0.616 X I **0.988 where Io = the initial value of the acoustic impulse I near the explosion). This relation may be used at any range from the explosion for infrasonic arrivals of different types (tropospheric, stratospheric, mesospheric and thermospheric). The empirical relation Eo = 1.38e-10 X I**1.482 with Eo, the source energy, in kilotons and the impulse, I in kg/s, was also obtained from our data analyses. Finally, we utilized the acoutic impulse conservation law to determine a relationship between the experimental uncertainty in the dominant frequency of the explosion and the experimental uncertainty in the pressure amplitude. This result can be written in the form: (f-fo)/f = (p-po)/p where f-fo is a measure of the experimental error in observing the dominant frequency,fo, of the explosion and p-po is the corresponding error in the observation of the acoustic amplitude, po.

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