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: