Inverse scattering internal multiple attenuation algorithm: An analysis of the pseudo-depth and time monotonicity requirements

Pseudo-depth monotonicity condition is an important assumption of the inverse scattering internal multiple attenuation algorithm. Analysis reveals that this condition is equivalent to a vertical-time monotonicity condition which is different than the total traveltime monotonicity suggested in recent literature/discussions. For certain complex media, the monotonicity condition can be too restrictive and, as a result, some multiples will not be predicted by the algorithm. Those cases have to be analyzed in the forward scattering series to determine how the multiples are modeled and to establish if an analogy between the forward and the inverse process would be useful to expand the algorithm to address these kind of events.