An inversion procedure for the recovery of propagation speed and damping of the medium

We consider the one-dimensional inverse problem of determining variations in propagation speed taking into account damping of the medium. We also consider the inverse problem of recovering variations in damping from observations of signals which pass through the medium of interest. Our method is based on the linearized inversion associated with Born's approximation. Thus we assume wave speed and damping are well approximated by the background plus the perturbation. We exploit the high-frequency character of seismic data. Therefore, we use WKBJ Green's function in deriving our inversion representation.