Comparison of non-hyperbolic and standard CRS using complex field data

Abstract

In recent years multi-dimensional stacking approaches like the Common-Reflection-Surface (CRS) stack or Multifocusing (MF) have received widespread interest. They provide not only a stack section or volume but also additional wavefield attributes that can be utilized for various applications. Although both the CRS and MF approaches are based on second-order approximations of traveltime, they differ in the way they are derived and in their mathematical formulation; CRS is based on a hyperbolic multi-parameter equation, MF is based on a double square root equation. Under certain circumstances MF can have some advantages and may provide a better fit of the stacking operator to the prestack data within a chosen stacking aperture. The CRS operator can, however, be modified to be non-hyperbolic by reformulating its underlying mathematical derivation. In this abstract we investigate two such nonhyperbolic CRS stacking operators on complex field data and compare them to the standard hyperbolic CRS approach.