Effective AMO implementation in the log-stretch, frequency-wavenumber domain

The Azimuth Moveout

AMO is conceived as a cascade of forward and reverse dip moveout (DMO) operators. Thus, the accuracy and speed of the DMO operator used is highly important. Computing the DMO in the frequency domain is accurate and simple, but computationally expensive because the DMO operator is temporally nonstationary. The technique of logarithmic time-stretching, introduced by Bolondi et al. (1982) increases the computational efficiency because the DMO operator is stationary in the log-stretch domain, and Fast Fourier Transforms can be used instead of slow Discrete Fourier Transforms. Gardner (1991), Black et al. (1993) and Zhou et al. (1996) derived equivalent and accurate log-stretch, frequency-wavenumber DMO operators. The implementation of the AMO presented in this paper is based on the derivation and algorithm in Zhou et al. (1996).