Abstract
WPerturbations 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.