An example of inversion

This section presents an example inversion for the perturbation in slowness using the linear operators derived in the section on linear theory. For the inversion, we have created a set of synthetic data that was inspired by a real dataset, part of a gas-hydrate study, which was recorded at the Blake Outer Ridge, offshore from Florida and Georgia Ecker (1998). We have divided this example in two parts: in the first, we show how the focusing of the image can be improved, with application to the real data, and, in the second part, how the inversion works, with application to the smaller synthetic data set.

 

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Figure 7 The original image.

 

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Figure 8 A better focused image after residual migration.