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Next: Behavior of the reflection Up: Tisserant and Biondi: 3-D Previous: Construction

Synthetic example

We verify our theoretical results on a model with five slanted planes Vaillant and Biondi (2000). The velocity function is v(z)=1.5+.5z km/s. The velocity gradient allows us to highlight the rotation of the reflection azimuth due to ray-bending. The model consists of five planes with 0, 15, 30, 45,60 dip and a 45 azimuth. The dataset is migrated with full prestack migration. We migrate first with the correct velocity and then with a velocity that is $6\%$ too slow. The migrated model is then transformed from offset to angle for different reflection azimuths. Hence the image has five dimensions: in-line and cross-line midpoints, depth, aperture and reflection azimuth. We select one midpoint and obtain a cube of a midpoint gather sorted in aperture angle and reflection azimuth angle.