## Sensitivity Gaussian packets

**Ludek Klimes**
### Summary

Perturbations of elastic moduli and density
are decomposed into Gabor functions.
A short-duration broad-band incident wavefield
with a smooth frequency spectrum is considered.
The wavefield scattered by the perturbations is then composed of
waves scattered by the individual Gabor functions.
The scattered waves are estimated using
the first-order Born approximation with
the paraxial ray approximation.
For a particular source,
each Gabor function generates at most a few scattered Gaussian packets
propagating in determined directions.
Each of these scattered Gaussian packets
is sensitive to just a single linear combination
of the perturbations of elastic moduli and density
corresponding to the Gabor function.
This information about the Gabor function is lost
if the scattered Gaussian packet does not fall into the aperture
covered by the receivers
and into the legible frequency band.

### Whole paper

The reprint is available in
PDF (1379 kB !).

In: *Expanded Abstracts of 80th Annual Meeting (Denver)*,
Soc. Explor. Geophysicists, Tulsa, 2010, pp. 2779-2783.

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