Basic Principle | Sound energy spreads out as it travels, reducing intensity with distance |
Types of Sound Sources | Point, Line, and Plane sources |
Point Source Formula | SPL2 = SPL1 – 20 × log10(d2/d1) |
Line Source Formula | SPL2 = SPL1 – 10 × log10(d2/d1) |
Plane Source | No reduction with distance in the near field |
Point Source Examples | Small machinery, speakers, pumps |
Line Source Examples | Highways, railways, long pipes |
Plane Source Examples | Large flat surfaces, walls of machinery |
6 dB Rule (Point Source) | SPL decreases by 6 dB for each doubling of distance |
3 dB Rule (Line Source) | SPL decreases by 3 dB for each doubling of distance |
Free Field Conditions | Assumes no reflections or obstructions |
Spherical Spreading (Point) | Sound energy spreads over surface area of a sphere |
Cylindrical Spreading (Line) | Sound energy spreads over surface area of a cylinder |
Near Field vs Far Field | Law applies in far field; near field may have different behavior |
Atmospheric Absorption | Additional attenuation, especially at high frequencies and large distances |
Ground Effect | Can cause additional attenuation or enhancement |
Barriers and Obstacles | Can provide additional noise reduction |
Temperature Gradients | Can affect sound propagation path |
Wind Effects | Can increase or decrease effective noise reduction |
Humidity Effects | Affects atmospheric absorption, especially at high frequencies |
Frequency Dependence | Higher frequencies generally attenuate more with distance |
Inverse Square Law | Intensity decreases with square of distance (point sources) |
Perception of Loudness | 10 dB reduction perceived as approximately half as loud |
Measurement Units | SPL in decibels (dB), distance typically in meters or feet |
Practical Applications | Urban planning, noise control, environmental impact assessments |
Limitations | Real-world conditions may cause deviations from theoretical predictions |
Combined Sources | Total SPL is logarithmic sum of individual source contributions |
Directivity Factor | Accounts for non-uniform radiation patterns of real sources |
Excess Attenuation | Additional attenuation due to ground, foliage, or atmospheric effects |