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(21) | |
(22) | ||
(23) |
The partial derivatives of the RMO function are directly derived from the partial derivatives
of
, taking into account
that for flat reflectors only the vertical velocity
component VV
influences the image depth of normal incidence.
The derivatives of
can thus be written as follows:
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(24) | |
(25) | ||
(26) |
The expressions for the derivatives of the slowness function with respect to the perturbation parameters depend on the particular form chosen to approximate the slowness function. Appendix C presents a particular approximation to the VTI group slowness function and derives the corresponding partial derivatives to be substituted in equations 21-23 and in equations 24-26. I used the same approximation to the VTI group slowness for the numerical experiments shown in this paper.