Skip to main content
Calcimator

Isolation Room Design Calculator

Calculate outdoor sound propagation from a noise source to a receiver. Models geometric spreading, ground effects, and atmospheric absorption (ISO 9613).

About this calculator

This calculator predicts outdoor sound pressure level (SPL) at a receiver from a source's sound power level, combining three independent loss mechanisms per the ISO 9613 outdoor propagation model. Geometric spreading applies the standard divergence formulas -- 20 x log10(distance) + 11 dB for a point source (a single machine or speaker) or 10 x log10(distance) + 8 dB for a line source (road or rail traffic), reflecting that a line source's energy spreads cylindrically rather than spherically and therefore attenuates more slowly with distance. Ground Effect adjusts for reflection and absorption at the ground plane: hard ground (concrete, water) reflects coherently and reduces total loss by about 3 dB, while soft ground (grass, soil) absorbs additional energy that grows with distance, up to a 10 dB cap.

Atmospheric Absorption implements ISO 9613-1's frequency-, temperature-, and humidity-dependent molecular relaxation model and is the one loss term that depends on all three of Frequency, Temperature, and Relative Humidity together -- it becomes significant only at higher frequencies and longer distances, which is why it stays a minor contributor at this calculator's 500 Hz default but can dominate the total loss at ultrasonic or near-ultrasonic frequencies over long ranges. Source Sound Power is the dominant input on SPL at Receiver by a wide margin: it enters as a direct 1 dB-for-1 dB addition (splAtReceiver = sourcePower - totalLoss), while every other input only reshapes the loss subtracted from it.

Inputs

%

Results

SPL at receiver (dB)

51.7

Geometric spreading (dB)51
Ground effect (dB)-3
Atmospheric absorption (dB)0.3
Total path loss (dB)48.3
Absorption coeff (dB/m)0

Figures current as of 1993. Source: ISO 9613-1:1993, Acoustics -- Attenuation of sound during propagation outdoors -- Part 1: Calculation of the absorption of sound by the atmosphere

How to Use This Calculator
  1. Enter Source sound power (dB), Distance to receiver (m), and Frequency (Hz).
  2. Select Source type and Ground type from the dropdowns, and set Temperature (°C).
  3. Adjust Relative humidity (%) as needed.
  4. Review the SPL at receiver (dB) result.
  5. Use Geometric spreading (dB) and Ground effect (dB) to inform your decision.

How the result changes with Source sound power (dB)

Source sound power (dB)SPL at receiver (dB)
501.7
7526.7
150101.7
160111.7

What each input means

Source sound power (dB)
Sound power level of the source in dB re 10⁻¹² W. Typical: car horn ~105, truck ~100, HVAC unit ~90.
Distance to receiver (m)
Distance from the source to the receiver in meters.
Frequency (Hz)
Sound frequency. Atmospheric absorption increases significantly at higher frequencies.
Source type
How the noise source spreads: a single machine or a continuous line like a road.
Ground type
Surface between the source and receiver, affecting reflection and absorption.
Temperature (°C)
Ambient temperature in degrees Celsius. Affects atmospheric absorption.
Relative humidity (%)
Relative humidity percentage. Strongly affects atmospheric absorption at high frequencies.

What each result means

SPL at receiver (dB)
Predicted sound pressure level at the receiver location.
Geometric spreading (dB)
Sound reduction due to geometric spreading (inverse square law for point source).
Ground effect (dB)
Additional attenuation or amplification from ground reflections. Negative = amplification.
Atmospheric absorption (dB)
Sound absorbed by the atmosphere over the propagation distance.
Total path loss (dB)
Sum of all attenuation factors from source to receiver.
Absorption coeff (dB/m)
Atmospheric absorption coefficient per meter at the specified frequency and conditions.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Source sound power (dB) = 100, Distance to receiver (m) = 100, Frequency (Hz) = 500, Source type = 0 = 7 input(s) provided
  2. Calculate SPL at receiver
    SPL at receiver = sourcePower - totalLoss
    51.7 = 51.7
  3. Calculate Geometric spreading
    Geometric spreading
    51 = 51
  4. Calculate Ground effect
    Ground effect
    -3 = -3

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

What single input changes the predicted SPL the most?

Source Sound Power. It adds directly to the result decibel-for-decibel (SPL at Receiver = Source Sound Power minus Total Path Loss), while Distance, Frequency, Ground Type, Temperature, and Humidity only reshape how much loss gets subtracted -- none of them move the result as directly or as much as the source power itself.

Why does a line source attenuate more slowly with distance than a point source?

A point source's sound energy spreads spherically in all directions, so its geometric loss follows a steeper 20 x log10(distance) relationship. A line source (like a highway) spreads cylindrically, following a shallower 10 x log10(distance) relationship, because the source is continuously distributed along a line rather than concentrated at a point -- which is why traffic noise doesn't drop off as quickly with distance as a single machine does.

Why does hard ground reduce the total loss instead of adding to it?

Hard, reflective ground (concrete, water) reflects sound coherently back toward the propagation path rather than absorbing it, which this calculator models as roughly 3 dB less total attenuation than a purely free-field prediction. Soft ground (grass, soil) does the opposite -- it absorbs additional sound energy, adding up to 10 dB of extra attenuation that grows with distance.

When does atmospheric absorption actually matter?

It matters most at high frequencies and long distances -- at this calculator's 500 Hz default, atmospheric absorption is a small contributor to Total Path Loss compared to geometric spreading. Raise Frequency toward the ultrasonic range or extend Distance and atmospheric absorption's share of the total grows substantially, since the underlying ISO 9613-1 molecular relaxation model is strongly frequency-dependent.

Why does the calculator ask for both temperature and humidity?

Atmospheric absorption comes from molecular relaxation of oxygen and nitrogen in the air, and both relaxation frequencies depend on humidity, while the overall absorption coefficient also depends on temperature. Neither input alone determines the absorption coefficient -- the ISO 9613-1 model this calculator implements requires both together.

The questions that sit next to this one — chosen by subject, including calculators filed under a different category.

More in Construction & Building Trades.