Sound Level (dB) & DistanceMathematics

Decibel (dB) Sound Level & Inverse-Square Distance Attenuation Calculator

Calculate sound pressure level in decibels (dB) at any observer distance, sound attenuation loss, and acoustic intensity drop under inverse-square spherical wave propagation.

Calculator Inputs

Live Real-Time
dB
Quick select:
m
Quick select:
m
Quick select:
Calculated ResultSound Level (dB) & Distance

Sound Level at Observer (L₂ in dB)

75dB

Sound Level Attenuation (ΔdB)

20 dB

Distance Multiple (r₂ / r₁)

10 x

Auditory Safe Zone: Distance attenuation reduced sound pressure below the 85 dB occupational hazard threshold.

Decibel Attenuation Profile

Source Level L₁
95 dB(56%)
Final Level L₂
75 dB(44%)

Detailed Calculation Breakdown

Source Level L₁
95 dB
Attenuation ΔdB
20 dB
Final Level L₂
75 dB

Calculation Methodology

Inverse-Square Acoustic Formula: L2 = L1 - 20 * log10(r2 / r1). Sound level decreases by approximately 6 dB for each doubling of distance from a point source.

Important Legal & Educational Disclaimer

This acoustic physics tool calculates free-field geometric sound attenuation.

This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.

Frequently Asked Questions

In an open, reflection-free acoustic field, the sound pressure level (SPL) drops by 6.02 dB every time the distance to a point source is doubled.
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