Derivation of equation (30)

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30)

Derivation of equation (

Recalling equation (27),

$\begin{eqnarray} \left.\frac{\partial z_{\tilde{\gamma}}}{\partial \rho_{i}}\rig... ...ac{\partial S\left(\alpha_x \right)}{\partial \rho_{i}}, \nonumber\end{eqnarray}$

in case of uniform scaling of velocity,

$\begin{eqnarray} \left.\frac{\partial z_{\tilde{\gamma}}}{\partial \rho_V}\right\vert _{\gamma=0} =z_\xi.\end{eqnarray}$

(54)

The derivative of the residual moveout with respect to the perturbation component $\rho_V$ has the following form:

(55)

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Stanford Exploration Project
4/6/2006