applied different NMO corrections to each sector. However, within each azimuth sector, data with different moveouts may have been stacked, possibly influencing the
amplitudes. Intercepts and gradients are then fitted to the data in each azimuth bin and finally an ellipse is fitted to the gradients as a function of azimuth (or for two azimuths they are simply subtracted from each other).
Anisotropy, dip and lateral heterogeneity can cause azimuthal velocity variations (Grechka and Tsvankin, 1998b), which can influence AVO and azimuthal AVO
computations if not accounted for. Azimuthal velocity variation (ANMO) causes an offset-dependent static on offset-sorted CMP gathers, which distorts conventional AVO, since there will be coherent reflections at near offsets and what appears to be noise at far offsets. Because the time shifts are not randomly distributed, the ANMO will also result in an observed azimuthal AVO where none exists.
5.2 Theory
Riiger (1996), Riiger and Tsvankin (1997) and Riiger (1998) showed that the equation for amplitude variations with incidence angle and azimuth for an HTI layer overlain by an isotropic overburden can be approximated by the equation: