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Our synthetic example, Figure 1, is represented by
a simple horizontal reflector (top panel) embedded in a velocity model
with smooth lateral velocity variation (middle panel).
A small perturbation introduced in the velocity model creates an
image perturbation which does not violate the Born approximation
(bottom panel).
**imags
**

Figure 1
Reflectivity model (top), background slowness (middle),
and image perturbation (bottom).

We compute the gradient of the objective function in
Equation (19) using
Equation (25) particularized both for
the target image fitting (TIF) and for
differential semblance optimization (DSO) criteria.
Figure 2 shows the ideal image perturbation
(top panel), the gradient for TIF (middle panel), and
the gradient for DSO (bottom panel).

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** Up:** Sava and Symes: WEMVA
** Previous:** Linearization
Stanford Exploration Project

11/11/2002