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Report No. 6945<br />

BBN Systems <strong>and</strong> Technologies Corporation<br />

4. SOUND TRANSMISSION CHARACTERISTICS<br />

This section contains a brief summary <strong>of</strong> sound transmission <strong>the</strong>ory<br />

relevent to <strong>the</strong> problem <strong>of</strong> predicting <strong>the</strong> effective ranges <strong>of</strong> <strong>the</strong> various<br />

sources discussed in <strong>the</strong> preceding section. A summary <strong>of</strong> sound transmission<br />

in air is presented as well as a discussion <strong>of</strong> shallow water sound propagation<br />

<strong>and</strong> transmission through <strong>the</strong> air-water interface. A discussion <strong>of</strong> sound<br />

transmission model development <strong>and</strong> application is presented along with<br />

examples <strong>of</strong> predicted transmission loss characteristics for <strong>the</strong> Alaskan<br />

environment.<br />

4.1 Sound Transmission in Air<br />

Sound transmission from a source in an unbounded atmosphere is attenuated<br />

only by geometrical spreading <strong>of</strong> <strong>the</strong> sound energy <strong>and</strong> by absorption <strong>of</strong> sound<br />

energy by air molecules. Sound transmission from a source near a non-rigid or<br />

permeable boundary is also influenced by reflection <strong>and</strong> refraction losses <strong>and</strong><br />

by wave transmission along <strong>the</strong> boundary surface. Interference between <strong>the</strong>se<br />

direct, reflected, <strong>and</strong> ground wave paths causes fluctuations in level <strong>and</strong> in<br />

frequency response for near ground transmission. In addition, <strong>the</strong> refraction<br />

caused by wind <strong>and</strong> temperature gradients produces shadow zones with very poor<br />

sound transmission in <strong>the</strong> upwind direction <strong>and</strong> <strong>of</strong>ten enhanced sound transmission<br />

downwind. These effects are very site <strong>and</strong> wea<strong>the</strong>r condition specific<br />

<strong>and</strong> hence it is not feasible to predict <strong>the</strong>m on a general basis. As a result,<br />

for <strong>the</strong> purpose <strong>of</strong> predicting <strong>the</strong> average atmospheric sound transmission,<br />

gradient effects will be neglected <strong>and</strong> only spreading loss <strong>and</strong> atmospheric<br />

absorption will be considered in a simplified sound transmission model.<br />

The loudest non-explosive airborne noise sources have been shown to be<br />

aircraft. The most significant mode <strong>of</strong> sound transmission to a point on <strong>the</strong><br />

ground usually involves a direct path from <strong>the</strong> source to a receiver that is<br />

elevated well above <strong>the</strong> refracting <strong>and</strong> scattering effects <strong>of</strong> near-surface<br />

transmission. Because <strong>of</strong> this, by considering only spherical spreading,<br />

atmospheric absorption, <strong>and</strong> ground reflection effects, one can develop an<br />

adequate transmission loss (TL) equation for estimating <strong>the</strong> received level on .<br />

<strong>the</strong> ground from an aircraft passing nearby. The relationship can be stated as:<br />

where: Lr = Received level spectrum near <strong>the</strong> ground<br />

L, = Source Level spectrum at 1 m from <strong>the</strong> source<br />

R = Slant range in m<br />

a = Atmospheric absorption spectrum in dB/m<br />

= Ground reflection factor, dB.<br />

R€3<br />

Since for most aircraft noise transmission calculations, a reference sound<br />

level at 300 m is used ra<strong>the</strong>r than a 1 m source level, Eq. ( 12) can be<br />

rewritten in a more convenient from as:

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