Sound energy - Wikipedia

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Sound measurements
Characteristic	Symbols
Sound pressure	$p, SPL, L PA$
Particle velocity	$v, SVL$
Particle displacement	$δ$
Sound intensity	$I, SIL$
Sound power	$P, SWL, L WA$
Sound energy	$W$
Sound energy density	$w$
Sound exposure	$E, SEL$
Acoustic impedance	$Z$
Audio frequency	$AF$
Transmission loss	$TL$

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In physics, sound energy is a form of energy that can be heard by humans. Sound is a mechanical wave and as such consists physically in oscillatory elastic compression and in oscillatory displacement of a fluid. Therefore, the medium acts as storage for both potential and kinetic energy.^[1]

Consequently, the sound energy in a volume of interest is defined as the sum of the potential and kinetic energy densities integrated over that volume:

W=W_{\mathrm {potential} }+W_{\mathrm {kinetic} }=\int _{V}{\frac {p^{2}}{2\rho _{0}c^{2}}}\,\mathrm {d} V+\int _{V}{\frac {\rho v^{2}}{2}}\,\mathrm {d} V,

Here:

V is the volume of interest;
p is the sound pressure;
v is the particle velocity;
ρ₀ is the density of the medium without sound present;
ρ is the local density of the medium;
c is the speed of sound.

References

^ Müller, G., Möser, M. (2012). Handbook of Engineering Acoustics. Springer. p. 7. ISBN 9783540694601.{{cite book}}: CS1 maint: multiple names: authors list (link)

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References