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Getting to Grips with Aircraft Noise

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9 - A BIT OF THEORY<br />

9.3.2. NOTION OF SOUND PRESSURE LEVEL (SPL)<br />

The effective pressure (as defined in equation 9.2.1-2) is linked <strong>to</strong> the sound intensity<br />

by the following equation:<br />

2<br />

pe<br />

I =<br />

ρρρρ c<br />

62<br />

∞<br />

It is worth noticing that the effective pressure is the easiest quantity <strong>to</strong> measure, as<br />

most of the microphones are sensitive <strong>to</strong> air pressure variations. Consequently, it is very<br />

practical <strong>to</strong> define a quantity in the same philosophy as for the SIL, called the Sound<br />

Pressure Level (SPL):<br />

Where: 0<br />

2 ⎛ p ⎞<br />

e<br />

SPL = 10.<br />

log<br />

⎜⎜<br />

2 ⎟⎟<br />

⎝ p0<br />

⎠<br />

in decibel (dB) (9.3.2-1)<br />

p is the reference pressure of 2.10 -5 N/m 2 .<br />

The value of the pressure is squared in order <strong>to</strong> get the homogeneity <strong>with</strong> intensity,<br />

since this what the human ear is sensitive <strong>to</strong>.<br />

The relationship between SIL and SPL can then be expressed:<br />

⎛ I ⎞<br />

0<br />

SPL = SIL + 10 . log ρρρρ<br />

⎜⎜<br />

2 ∞c<br />

(9.3.2-2)<br />

⎟⎟<br />

⎝ p0<br />

⎠<br />

At sea level in ISA conditions, SPL=SIL+0.2.<br />

Flight Operations Support & Line Assistance<br />

<strong>Getting</strong> <strong>to</strong> grips <strong>with</strong> aircraft noise

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