Sound Pressure Level (SPL) Attenuation

Estimate point-source sound level over distance, with optional humidity and frequency dependent atmospheric absorption.

Sound Attenuation Calculator · Client runtimeSandboxed
Formatted results will render here in real time.

About this sound pressure level (spl) attenuation

Estimate point-source sound level over distance, with optional humidity and frequency dependent atmospheric absorption Computes exact algebraic and numerical metrics directly in your browser using IEEE 754 precision without round-trip latency.

Formula & calculation mechanics

The execution engine processes input tokens and applies transformations in the browser sandbox. Specifically, A point source in a uniform free field loses 20 log₁₀(2) ≈ 6.0206 dB when distance doubles, before air absorption. The reference level already includes travel to r; only the additional path d − r is corrected. A negative attenuation means a level increase.

Worked numerical calculation

Scenario: Load example

Sample input:

L(r) = 90 dB SPL; r = 1 m; d = 10 m; α = 0

Illustrative output:

G = 20 dB; L(d) = 70 dB SPL

Domain range & precision boundaries

Each field: at most 64 characters, including surrounding spaces; signs and scientific notation allowed. Reference level: −300 to 300 dB SPL. Distances: any positive finite browser number; extremely small values may round to zero and are rejected. Air correction: 50–10000 Hz, −20 to 50 °C, 10–100% relative humidity over liquid water. Pressure is fixed at 101.325 kPa. Enter the level of the selected pure tone, not a broadband dBA reading. Atmospheric absorption follows ISO 9613-1:1993 §6.2 with a compact water-vapour pressure approximation. This is a single-frequency estimate, not a full ISO certification or field measurement. No reflections, barriers, ground effects, wind, near-field speaker model, background noise or broadband spectral integration. Extreme distances are mathematical extrapolations. Binary64 arithmetic; up to 12 significant digits displayed.

Calculations in Sound Pressure Level (SPL) Attenuation use standard IEEE 754 precision or exact rational models. Verify significant accounting or tax figures with authoritative references.

In-browser calculation boundary

Formula calculations and numeric evaluations in Sound Pressure Level (SPL) Attenuation run synchronously in the browser JavaScript engine with zero server telemetry.

Mathematical formulas & precision standards

Mathematical constants, IEEE 754 floating-point standards, and numerical analysis specifications:

  • ISO 9613-1:1993 §6.2 pure-tone absorption, fixed 101.325 kPa; not certification

Sound Pressure Level (SPL) Attenuation verification · Audit standards

How to use it

  1. Enter, paste, or select your input data into the Sound Pressure Level (SPL) Attenuation workspace controls.
  2. Review parameter fields, units, or options configured for Sound Pressure Level (SPL) Attenuation.
  3. Click the action button or observe immediate live calculations rendered by Sound Pressure Level (SPL) Attenuation.

Frequently asked questions

Sound Pressure Level (SPL) Attenuation calculation method and limits+

A point source in a uniform free field loses 20 log₁₀(2) ≈ 6.0206 dB when distance doubles, before air absorption.

Everyday sound references+

References are approximate everyday examples from CDC, compared by numerical level only (nearest value; ties use the lower reference). They do not identify a sound or imply equal perceived loudness. The calculated unweighted pure-tone SPL is not directly equivalent to environmental dBA or an exposure assessment.

Propagation model+

Runtime handling of "Propagation model" executes synchronously in your browser tab without remote delays.

Estimated result+

Security isolation for "Estimated result" ensures zero transmission beyond your local workstation.