Difference between revisions of "Dictionary:Rayleigh-Willis relation"

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{{#category_index:R|Rayleigh-Willis relation}}
 
{{#category_index:R|Rayleigh-Willis relation}}
The oscillation period ''T'' (in seconds) for the bubble effect varies as the cube root of the energy ''E'' and inversely as the 5/6th power of the pressure. The relation is
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The oscillation period <math>T</math> (in seconds) for the bubble effect varies as the cube root of the energy <math>E</math> and inversely as the <math>5/6th</math> power of the pressure.[[File:Segr5.jpg|right|thumb|400px|<b>Rayleigh-Willis relation</b> for representative energy sources. Source depth=9&#x0020;m. (Courtesy Bendix United Geophysical.)]]
  
<center>''T''=0.450&#x0020;''E''<sup>1/3</sup>/(''D''+33)<sup>5/6</sup>&#x0020;or</center>
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The relation is
  
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<center><math>T=0.450E^{\frac{1}{3}}/(D+33)^{\frac{5}{6}}\quad or</math></center>
  
  
<center>''T''=0.108&#x0020;''E''<sup>1/3</sup>/(''D''&#x2032;+10)<sup>5/6</sup>,</center>
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<center><math>T=0.108E^{\frac{1}{3}}/(D'+10)^{\frac{5}{6}},</math></center>
  
 
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where <math>E</math> is the energy in joules, <math>D</math> is the depth in feet, and <math>D'</math> is the depth in meters.
 
 
where ''E'' is the energy in joules, ''D'' is the depth in feet, and ''D''&#x2032; is the depth in meters. See Figure [[Dictionary:Fig_R-5|R-5]].
 
 
 
[[Category:Pages with unformatted equations]]
 

Revision as of 16:30, 2 April 2016

The oscillation period (in seconds) for the bubble effect varies as the cube root of the energy and inversely as the power of the pressure.

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

The relation is


where is the energy in joules, is the depth in feet, and is the depth in meters.