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Equipment for Shallow Water Acoustics and Experimental Considerations

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Fundamentals of Shallow Water Acoustics

Part of the book series: The Underwater Acoustics Series ((UA))

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Abstract

In this chapter, we consider the applications of sound signals with frequencies less than 500 Hz. The use of such low frequencies is primarily motivated by the strong attenuation of acoustic waves in shallow water due to the interaction with the bottom. For example, for a negative gradient sound speed profile, the transmission loss of acoustic signals (TL) where \( {{(TL}} = 20\lg (\bar{p}{/}{p_0}) \) can be desibed in the following equation by the three terms inside square brackets, each corresponding to different decay laws for the sound field with distance

$$ {{TL}} = \left[ {20\lg ({r_0}{/}{r_1})} \right] + \left[ {15\lg ({r_1}{/}{r^{*}}) - {\beta_1}({r^{*}} - {r_1})} \right] + \left[ {10\lg ({r^{*}}{/}r) - \beta (r - {r^{*}})} \right], $$

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Notes

  1. 1.

    In experiments, \( \bar{p} \) is defined as \( \bar{p} = \left\langle {\left| {p(\vec{R},t)} \right|} \right\rangle \), where the angle brackets denote averaging over a spatial interval greater than the period of the interference pulsations, and over a time greater than the period of oscillation.

  2. 2.

    The emission level of 190 dB corresponds to the acoustic power (\( {W_0} = 100\,{{W}} \)) of typical nondirectional low-frequency sound sources, used in experiments on acoustic tomography of the ocean.

  3. 3.

    The parameters of the sound source used in the ATOC Program are given in the third line of the table.

  4. 4.

    It should be noted that in the case of sound sources with piezotransducers, the efficiency commonly taken is not the acousto-electric efficiency, but a somewhat smaller quantity χ a/e determined as χ a/e = W 0/i 2|z e|, where i is the current through the transducer and z e is the total electric resistance including the active and reactive components.

  5. 5.

    For typical explosive sound sources (where the mass of the explosive material is a few hundred grams), this dependence occurs over a distance of several hundred meters. For large distances p 0 and t 0 are time independent and the equation of linear acoustics holds.

  6. 6.

    It is necessary to note that in the absence of a spring the radiation frequency depends on air pressure in the chamber and, therefore, the depth of the source submersion.

  7. 7.

    In the case of air guns, the variation of the radiation directivity is performed by introducing corresponding time delays.

  8. 8.

    Notice that factor N r depends on the conversion ratio of sound pressure to electrical signal at the output of each receiver. It may vary within wide limits.

  9. 9.

    It should be noted that in acoustic experiments in the shallow water, such a system is as a rule installed at all devices of real-time data acquisition and processing.

  10. 10.

    These displacements are often associated with internal waves.

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Correspondence to Boris Katsnelson .

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Katsnelson, B., Petnikov, V., Lynch, J. (2012). Equipment for Shallow Water Acoustics and Experimental Considerations. In: Fundamentals of Shallow Water Acoustics. The Underwater Acoustics Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9777-7_10

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