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Free-Field Acoustic Sound Level Distance Decay (6 dB Rule) Calculator

In a free spherical sound field, sound power spreads evenly over expanding concentric spherical wave fronts.

Measured sound pressure level at reference distance

Distance from source for reference measurement

Observer distance from acoustic source

Calculated Result
69.9 dB

Attenuated Sound Level (L2)

Distance Ratio (d2/d1)

8x

Calculation Breakdown

  1. Inverse Square FalloffL2 = L1 - 20·log10(d2/d1) => 69.9 dB

Noise Decay with Distance

Interactive visualization based on your current inputs

SPL
0.0224466881 m (Source)4 m (2x 2x)16 m (4x 4x)DistanceSound Level (dB)

What Is the Free-Field Acoustic Sound Level Distance Decay (6 dB Rule) Calculator?

In a free spherical sound field, sound power spreads evenly over expanding concentric spherical wave fronts.

Sound pressure level drops by exactly 6.02 dB for every doubling of distance from the source.

How Does the Free-Field Acoustic Sound Level Distance Decay (6 dB Rule) Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Free-Field Acoustic Sound Level Distance Decay (6 dB Rule) Calculator Formula & Variables

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

L_2 = L_1 - 20 \log_{10}\left(\frac{d_2}{d_1}\right)

Spherical acoustic divergence distance formula.

How to Use the Free-Field Acoustic Sound Level Distance Decay (6 dB Rule) Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Outdoor Emergency Generator Noise

Input Values:

soundLevelAtD1Db:92.0
referenceDistanceD1M:1.0
targetDistanceD2M:15.0

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Excludes excess ground attenuation, wind gradients, and atmospheric molecular absorption.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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