Difference between revisions of "Shuey equation"

From SubSurfWiki
Jump to navigation Jump to search
(added redirect)
 
(force LaTeX)
 
(2 intermediate revisions by the same user not shown)
Line 1: Line 1:
#REDIRECT [[Shuey approximation]]
+
An approximation to the [[Aki–Richards equation]], making an even simpler approximation to the full angular reflectivity solution given by the [[Zoeppritz equations]]. This formulation is given by Avseth et al.<ref>Avesth, P, T Mukerji and G Mavko (2005). Quantitative seismic interpretation. Cambridge University Press, Cambridge, UK.</ref>
 +
 
 +
:<math>R(\theta ) = R(0) + G \sin^2 \theta + F ( \tan^2 \theta - \sin^2 \theta )\ </math>
 +
 
 +
where
 +
 
 +
:<math>R(0) = \frac{1}{2} \left ( \frac{\Delta V_\mathrm{P}}{V_\mathrm{P}} + \frac{\Delta \rho}{\rho} \right ) </math>
 +
 
 +
and
 +
 
 +
:<math>G = \frac{1}{2} \frac{\Delta V_\mathrm{P}}{V_\mathrm{P}} - 2 \frac{V^2_\mathrm{S}}{V^2_\mathrm{P}} \left ( \frac{\Delta \rho}{\rho} + 2 \frac{\Delta V_\mathrm{S}}{V_\mathrm{S}}  \right ) </math>
 +
 
 +
and
 +
 
 +
:<math>F = \frac{1}{2}\frac{\Delta V_\mathrm{P}}{V_\mathrm{P}} </math>
 +
 
 +
For short and medium offsets, the 2-term [[Shuey approximation]] is often used.
 +
 
 +
==See also==
 +
* [[Shuey approximation]]
 +
* [[Aki–Richards equation]]
 +
* [[AVO]]
 +
* [[AVO*]] — a mobile app for AVO modeling
 +
 
 +
==External links==
 +
* [[Wikipedia:Zoeppritz equations|Zoeppritz equations]] — Wikipedia article
 +
 
 +
==References==
 +
<references />
 +
 
 +
[[Category:Rock physics]]

Latest revision as of 12:01, 13 March 2012

An approximation to the Aki–Richards equation, making an even simpler approximation to the full angular reflectivity solution given by the Zoeppritz equations. This formulation is given by Avseth et al.[1]

where

and

and

For short and medium offsets, the 2-term Shuey approximation is often used.

See also

External links

References

  1. Avesth, P, T Mukerji and G Mavko (2005). Quantitative seismic interpretation. Cambridge University Press, Cambridge, UK.