# Dictionary:Rayleigh-Willis relation

Other languages:
English • ‎español

The oscillation period ${\displaystyle T}$ (in seconds) for the bubble effect varies as the cube root of the energy ${\displaystyle E}$ and inversely as the ${\displaystyle 5/6th}$ power of the pressure.

Rayleigh-Willis relation for representative energy sources. Source depth=9 m. (Courtesy Bendix United Geophysical.)

The relation is

${\displaystyle T=0.450E^{\frac {1}{3}}/(D+33)^{\frac {5}{6}}\quad or}$

${\displaystyle T=0.108E^{\frac {1}{3}}/(D'+10)^{\frac {5}{6}},}$

where ${\displaystyle E}$ is the energy in joules, ${\displaystyle D}$ is the depth in feet, and ${\displaystyle D'}$ is the depth in meters.