Multivalued Operators – Limitations and Improvements

Migration with correction for transmission losses in arbitrary inhomogeneous media

“…P − A = P − B = 0 at zn. If both states are also identical, P ± B = P ± A = P ± , equation 7is the continuous, laterally varying analogue of the flux-normalized energy-balance equation, (3). We discretize the wavefields P ± A,B at z0 and zn by N receivers at equi-distant positions and collect the corresponding values in column vectors P ± A,B (z0) and P + A,B (zn).…”

“…a salt body, is a difficult task. Previously we discussed the effects of neglecting multi-pathing and/or transmissionlosses in wavefield extrapolation [3].…”

“…Wapenaar and Herrmann [10] proposed a method to correct for transmission-losses in arbitrary media; they demonstrated it on wavefield extrapolation in acoustic, laterally homogeneous, fine-layered media. In [3] we generalized the implementation to laterally varying media and demonstrated it on downward extrapolation of a plane wave through a syncline interface. In this paper we apply the transmission loss correction to redatuming and show that the resulting estimate of the reflection coefficient as a function of angle, improves.…”