Abstract:In viscoelastic medium, a new method for wave field extrapolation, which was very different from the three classical methods of wave field extrapolation in elastic medium was introduced. In addition, a method for separating the compound wave response of two (or more) nearby reflectors through wave field extrapolation was presented. It meaned that not only seismic migration to enhance lateral resolution, but also separate seismic compound wave to enhance vertical resolution could be done. This paper in which the Born s approximation was not needed, was motivated by Bleistein s lecture, but it was very different from his lin- earization method.

Key words: seismic wave　viscoelastic medium　wave field extrapolation　separating compound wave