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Oceans of noise - Whale and Dolphin Conservation Society

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For water, pref = 1µPa rms, _ = 1x10 3 kgm -3 , c =1.5x10 3 ms -1 .<br />

I ref<br />

⎛<br />

⎞<br />

= ⎜ 3<br />

( 1 10 ) ( 1.<br />

5 10 ) ⎟ Wm<br />

⎝ × × × ⎠<br />

2<br />

1 −19<br />

−2<br />

⎟ = 6.<br />

7 × 10<br />

3<br />

In the scientific literature you will <strong>of</strong>ten see the terms Source <strong>and</strong> Received Levels. In underwater<br />

acoustics, source level usually represents the sound level at a distance <strong>of</strong> one metre from the source,<br />

referenced to 1_Pa. On quoting a source level, the distance from the source at which the reference<br />

level was measured must also be cited; typically the units <strong>of</strong> SIL /SPL are dB relative to the reference<br />

intensity at 1 metre (e.g. 20 dB re 1µPa @ 1m). In practice, one can rarely measure source level at the<br />

st<strong>and</strong>ard 1m reference, so that source levels are usually estimated by measuring SPL at some known<br />

range from the source (assumed to be a single point), <strong>and</strong> then predicting <strong>and</strong> subtracting the<br />

attenuation effects from the measured value to estimate the level at the reference range.<br />

The received level is the sound level at the listener's actual position, which is usually considerably<br />

more distant that the reference source level.<br />

2.1.3. Comparison <strong>of</strong> sound intensities measured in air <strong>and</strong> water<br />

For measurements made in air the Sound Intensity Level is defined as:<br />

SIL<br />

Air<br />

⎛<br />

( dB)<br />

= 20log⎜<br />

⎜<br />

⎝ p<br />

p<br />

ref . Air<br />

⎞<br />

⎟<br />

⎛ p ⎞<br />

= 20log⎜<br />

⎟<br />

⎟<br />

⎠ ⎝ 20µ<br />

Pa ⎠<br />

For measurements made in water the Sound Intensity Level is defined as<br />

SIL<br />

Water<br />

⎛<br />

( dB)<br />

= 20log⎜<br />

⎜<br />

⎝ p<br />

p<br />

ref . Water<br />

20<br />

⎞<br />

⎟<br />

⎛ p ⎞<br />

= 20log⎜<br />

⎟<br />

⎟<br />

⎠ ⎝1µ<br />

Pa ⎠<br />

It should be clear that direct comparisons <strong>of</strong> sound intensity levels measured in air <strong>and</strong> water cannot be<br />

made, unless levels are adjusted to take into account:<br />

(1) the differences in acoustic impedance between air <strong>and</strong> water (_cwater =1.5x10 6 <strong>and</strong> _cair =4.15x10 2 )<br />

<strong>and</strong><br />

(2) the differences in reference pressures used for air <strong>and</strong> water (pref water = 1µPa <strong>and</strong> pref air = 20µPa).<br />

However, although the physics behind these adjustments is correct it may not reflect the<br />

complexities <strong>of</strong> marine mammal hearing. Bearing this in mind <strong>and</strong> that direct comparisons <strong>of</strong><br />

hearing in terrestrial mammals <strong>and</strong> marine mammals is both controversial <strong>and</strong> flawed, adjusting<br />

the levels to make such comparisons is a two stage process.<br />

Stage 1. Adjusting for differences in pressure reference levels<br />

⎛ p ⎞ ⎛ 20 ⎞<br />

20 ⋅ log ⎜ = 20 ⋅ log⎜<br />

⎟ = +<br />

p ⎟<br />

⎝ water ⎠ ⎝1µ<br />

Pa ⎠<br />

Air 26<br />

dB

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