Accurate and efficient shot-gather dip moveout processing in the log-stretch domain

An accurate analytical expression for shot-gather dip-moveout (DMO) in the time-space log-stretch domain has until now not been published. The authors present a simpler, alternative derivation of the exact DMO relationships of Black et al. which correctly take account of the repositioning of the midpoint. A new computationally efficient frequency-wavenumber (F-K) DMO operator for shot profiles is then derived, based on these DMO relationships in the time-space log-stretch domain. The newly derived DMO operator is, unlike most other log-stretch DMO operators, accurate for the full range of reflector dips. Along with other schemes which are performed in the log-stretch domain, it offers considerable time savings over conventional DMO processing. The authors have compared numerically the impulse response of the new operator with those of a number of other shot-gather DMO operators, and found it to be superior and well math to the theoretical elliptical DMO response.