Noise dB Calculator (Addition and Distance Attenuation)

Add decibel levels from multiple sound sources, estimate free-field distance attenuation, and back-calculate the required distance from a target dB level.

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Example preset

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Inputs

Bulk input (comma/line break delimited)

Results

composite noise level
calculation formula
10log10(Σ 10^(Li/10))
Purpose
Sound level composition of the same index

Distance attenuation graph

The horizontal axis is the distance (m) on a logarithmic scale, and the vertical axis is the noise level (dB).

point distance level

Assumptions, Formulas, and FAQ

Formula used in this calculation

dB addition: Ltotal = 10 log10( Σ 10^(Li/10) )

Distance attenuation (point source): L2 = L1 - 20 log10(r2/r1)

Distance attenuation (line source): L2 = L1 - 10 log10(r2/r1)

Assumptions and limitations
  • This is an estimate assuming a free field (no reflections).
  • A line-source approximation (10 log10) is useful near a long source and approaches point-source behavior at long distances.
  • Shielding, ground effects, air absorption, wind, temperature stratification, etc. are not considered.
  • Please use the same input dB (all dBA, etc.).

Frequently asked questions

What is 60 dB + 60 dB?

Two equal sources add by energy, not by simple arithmetic. The combined level is about 63 dB, which is a 3 dB increase over either source alone.

How much does the level drop when distance doubles?

For a point source in a free field, doubling distance lowers the level by about 6 dB. For a line-source approximation, the drop is about 3 dB.

Will this match a real measurement?

Use it for rough checks and comparison, not for compliance work. Reflections, shielding, ground absorption, weather, and source directivity can all move a field measurement away from the simple model.

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