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Sound Pressure Level (SPL) Distance Attenuation Calculator

In free-field acoustic conditions, sound energy spreads spherically, attenuating by 6 dB per doubling of distance.

Sound pressure level measured at reference distance.

Distance of initial measurement (usually 1 m).

Receiver distance from source.

Calculated Result
61.5 dB

Target Sound Pressure Level

Attenuation Loss

-23.5 dB

Estimated Sound Power Lw

96.0 dB

Directivity Factor Q

1

Calculation Breakdown

  1. Distance Law (Inverse Square)ΔL = 20 · log₁₀(r₂ / r₁) = 20 · log₁₀(15 / 1) = 23.5 dB
  2. Target SPLL_p2 = L_p1 - ΔL = 85 - 23.5 = 61.5 dB

What Is the Sound Pressure Level (SPL) Distance Attenuation Calculator?

Sound pressure level distance attenuation quantifies how acoustic intensity dissipates as sound waves expand away from a source.

How Does the Sound Pressure Level (SPL) Distance Attenuation Calculator Work?

Applies geometric inverse-square spreading law (20*log10 of distance ratio) to calculate decibel reduction.

Sound Pressure Level (SPL) Distance Attenuation Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

L_{p2} = L_{p1} - 20 log_{10}left( rac{r_2}{r_1} ight), quad L_w approx L_p + 20log_{10}(r) + 11

Geometric divergence sound decay from a point source in spherical free field.

How to Use the Sound Pressure Level (SPL) Distance Attenuation Calculator

  1. Input known SPL at a reference distance and the target distance to evaluate receiver exposure.

Step-by-Step Example Calculation

Outdoor Industrial Machinery Noise

Input Values:

splReferenceDb:85
distanceReferenceM:1
distanceTargetM:15
Worked Steps: Attenuates by 23.5 dB to an SPL of 61.5 dB at 15 meters; sound power Lw = 96.0 dB.

Understanding Your Result

Provides target SPL and total geometric attenuation loss in decibels.

Factors That Affect the Result

  • Atmospheric air absorption (humidity/temperature) and ground reflection barriers introduce additional damping at high frequencies.

When Should You Use This Calculator?

  • Environmental noise impact assessments, audio concert loudspeaker arrays, and occupational OSHA safety compliance.

Assumptions & Limitations

  • Assumes point source in an obstacle-free free-field environment without indoor boundary reverberation.

Frequently Asked Questions

Calculation Accuracy & Reference Note

ISO 9613-2 acoustic propagation standard geometric divergence.

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