Building the 3-D integral DMO operator in the slant-stack domain

We propose a 3-D integral dip-moveout (DMO) approach based on constructing the DMO operator in the slant-stack domain. The kinematics of the operator is first computed in the ray parameter domain and described as three parametric functions for the zero-offset trace location x 0-, y0-, and zero-offset traveltime t0. 3-D slant-stack transform is used to merge the three functions into one that defines the same operator in the slant-stack domain. Each input sample is smeared as a sinc function onto the output panel in the slant-stack domain, along the DMO operator trajectory. Then, an accurate and efficient inverse 3-D slant-stack transform reconstructs the data in the conventional time-space domain. Two significant advantages arise from this implementation. First, it can kinematically and dynamically handle triplications associated with v(z) media; second, this integral implementation has no constraint on the sampling or geometry of the input data.