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Calcimator

Noise Impact Assessment Calculator

Calculate received noise levels at a receptor from a point source accounting for distance, atmospheric absorption, ground effects, and barriers per ISO 9613-2.

About this calculator

This calculator predicts the A-weighted sound level a receiver will experience from a point noise source, following the outdoor sound propagation framework in ISO 9613-2:1996 (Acoustics — Attenuation of sound during propagation outdoors — Part 2: General method of calculation), the international standard method for predicting environmental noise from a source at a receiver location. It starts with geometric divergence — the dominant effect for most distances — using the inverse-square-law formula 20×log10(distance/reference distance), which alone accounts for a 6 dB drop every time distance doubles. On top of that it layers atmospheric absorption (a small, fixed 0.005 dB per meter, representative of a 500 Hz tone at moderate temperature and humidity) and a ground effect term that only kicks in past 100 meters, subtracting more attenuation over soft ground (grass, soil) than hard ground (pavement, water).

If a barrier height is entered, the calculator applies the Maekawa approximation: it computes the extra path length sound must travel to diffract over the barrier, converts that into a Fresnel number, and derives an insertion loss capped at a realistic 20 dB maximum. The received level is then compared against a regulatory threshold that depends on receiver land use — 50 dBA for residential nighttime up to 72 dBA for industrial — and the calculator reports the exceedance plus, if you're over the limit with no barrier yet, reverse-solves the Maekawa formula for the barrier height that would bring you into compliance. Because this uses a single representative frequency (500 Hz) rather than full octave-band analysis, and simplifies barrier geometry to a straight midpoint obstruction, treat results as a planning-level screening tool — a full regulatory submission typically needs frequency-specific modeling software and site-specific terrain data.

Inputs

ft
ft
ft

Results

Received level (dBA)

62.8

Total attenuation (dB)22.2
Geometric spreading (dB)20
Barrier insertion loss (dB)0
Regulatory threshold (dBA)60
Threshold exceedance (dBA)2.8
Required barrier height (ft)0
Distance to threshold (ft)889

Figures current as of 1996. Sources: International Organization for Standardization. ISO 9613-2:1996, Acoustics — Attenuation of sound during propagation outdoors — Part 2: General method of calculation., Maekawa, Z. Noise reduction by screens. Applied Acoustics. 1968;1(3):157-173.

How to Use This Calculator
  1. Enter Source Level (dBA) from equipment specifications or field measurements.
  2. Set Receiver Distance (ft) and Reference Distance (ft) for the inverse square law baseline.
  3. Select Ground Type (hard/reflective or soft/absorptive) and Barrier Height (ft) if present.
  4. Choose Receiver Land Use (residential, commercial, industrial) to apply the applicable noise standard.
  5. Review Received Level (dBA) and compare to local ordinance limits or FHWA noise thresholds.

How the result changes with Source level (dBA)

Source level (dBA)Received level (dBA)
4320.8
6441.8
128105.8
150127.8

What each input means

Source level (dBA)
A-weighted sound power or pressure level of the noise source at the reference distance.
Receiver distance (ft)
Distance from noise source to receiver location.
Reference distance (ft)
Distance at which the source level was measured.
Ground type
0 = Hard (pavement/water), 1 = Mixed, 2 = Soft (grass/soil/vegetation).
Barrier height (ft)
Effective height of noise barrier above line of sight (0 = no barrier).
Receiver land use
0 = Residential (night), 1 = Residential (day), 2 = Commercial, 3 = Industrial.

What each result means

Received level (dBA)
Predicted A-weighted sound level at the receiver.
Total attenuation (dB)
Combined loss from distance, atmosphere, ground, and barriers.
Geometric spreading (dB)
Attenuation due to distance (inverse square law).
Barrier insertion loss (dB)
Noise reduction from barrier (Maekawa approximation).
Regulatory threshold (dBA)
Applicable noise limit for the receiver land use.
Threshold exceedance (dBA)
Amount above/below the regulatory threshold (negative = compliant).
Required barrier height (ft)
Barrier height needed at midpoint to meet threshold (if no barrier present).
Distance to threshold (ft)
Distance at which source attenuates to meet threshold (no barrier).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Source level (dBA) = 85, Receiver distance (ft) = 500, Reference distance (ft) = 50, Ground type = 1 = 6 input(s) provided
  2. Calculate Received level
    Received level = sourceLevelDba - totalAttenuation
    62.8 = 62.8
  3. Calculate Total attenuation
    Total attenuation = geometricLoss + atmosphericLoss - groundEffect + barrierLoss
    22.2 = 22.2
  4. Calculate Geometric spreading
    Geometric spreading = 20 * log10(distanceM / max(1, referenceM))
    20 = 20

Figures and sources

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does received level drop by 6 dB every time distance doubles?

That's the geometric divergence term, 20×log10(distance / reference distance) — the inverse-square law for sound spreading from a point source. It's the dominant factor in total attenuation across most real-world distances, outweighing both the atmospheric absorption and ground effect terms in the calculation.

Why doesn't the ground effect kick in at short distances?

The calculator only applies ground attenuation — 0 dB for hard surfaces like pavement, up to -3 dB for soft ground like grass or soil — once distance exceeds 100 meters, since ground-reflected sound paths need enough separation between source and receiver to meaningfully interact with the ground surface. At short range the direct path dominates and ground effect is treated as negligible.

How does the barrier height calculation work, and what's the 20 dB cap?

It uses the Maekawa approximation — published by Zyun-iti Maekawa in a 1968 Applied Acoustics paper and still a standard reference for barrier design charts — where the calculator computes the extra path length sound must travel to diffract over the barrier, converts that into a Fresnel number, and derives insertion loss as 10×log10(3 + 20×N). Real barriers rarely achieve more than about 20 dB of practical insertion loss no matter how tall or well-placed, so the calculator caps the result there to avoid an unrealistic prediction.

What does the "required barrier height" output actually solve for?

When your predicted received level exceeds the regulatory threshold and no barrier height is entered, the calculator reverse-solves the Maekawa formula for the midpoint barrier height that would supply exactly enough insertion loss to bring the received level down to the threshold. It's a first-pass mitigation estimate, not an engineered barrier design.

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