Shuey equation

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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]

R(\theta ) = R(0) + G \sin^2 \theta + F ( \tan^2 \theta - \sin^2 \theta )\

where

R(0) = \frac{1}{2} \left ( \frac{\Delta V_\mathrm{P}}{V_\mathrm{P}} + \frac{\Delta \rho}{\rho} \right )

and

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 )

and

F = \frac{1}{2}\frac{\Delta V_\mathrm{P}}{V_\mathrm{P}}

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.