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## ABSTRACTThe straightforward implementation of the double square root (DSR) equation in common midpoint and offset coordinates for prestack migration produces notable artifacts that are routinely attributed to Fourier domain wraparound in the offset wavenumber space. These artifacts usually preclude the use of DSR for separate constant-offset sections. I show that the artifacts are not due to Fourier wraparound. I present two phase-shift constant-offset migration algorithms free of offset artifacts. The first algorithm migrates each individual constant-offset at a time, but is slower overall than the second algorithm which requires all the constant-offset sections to be migrated at the same time. Depending on the problem to be solved one method could be more convenient than the other. |

11/16/1997