# Dictionary:Nonhyperbolic normal-moveout (velocity) analysis

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Analysis that allows for typical vertical changes in velocity and anisotropy when using long offsets, that is, where the offset exceeds the reflector depth. In this case the hyperbolic equation for a reflection can often be expressed as

${\displaystyle t_{x}^{2}=t_{0}^{2}\left[1+\left({\frac {x}{t_{0}V_{NMO}}}\right)^{2}-{\frac {2\eta \left({\frac {x}{t_{0}V_{NMO}}}\right)^{4}}{1+(1+2\eta )\left({\frac {x}{t_{0}V_{NMO}}}\right)^{2}}}\right]}$,

where t0 is the zero-offset traveltime, x is offset, ${\displaystyle V_{NMO}}$ is short-spread stacking velocity, and ${\displaystyle \eta ={\frac {\varepsilon -\delta }{1+2\delta }}}$ where ${\displaystyle \varepsilon }$ and ${\displaystyle \delta }$ are Thomsen anisotropic parameters (q.v.).

See also main page: Reflection_moveout