TAU 
Migration
 and 
Velocity
 Analysis: Application to Data from Midyan Region 
of the Red Sea
By
Tariq A Alkhalifah1
(1) KACST, Riyadh, Saudi Arabia
 Imaging the pre-salt reflections for data acquired from the coastal region 
of the Red Sea is a task that requires prestack 
migration
 
velocity
 analysis. 
Conventional poststack time processing methods lacks the lateral-inhomogeneity 
capability needed for such a problem. Prestack 
migration
 
velocity
 analysis in 
the vertical time domain reduces the 
velocity
-depth ambiguity usually hampering 
the performance of prestack depth-
migration
 
velocity
 analysis. In prestack TAU 
migration
 
velocity
 analysis, we keep the interval 
velocity
 model and the output 
images in time. This allows us to avoid placing reflectors at erroneous depths 
during the 
velocity
 analysis process, and, thus, avoid inaccurately altering the 
shape of the 
velocity
 model, which, in turn, slows down its convergence to the 
true model. Using a one-dimensional 
velocity
 update scheme, the prestack TAU 
migration
 
velocity
 analysis produces good images of data from the Midyan region 
of the Red Sea. For the first seismic line from this region, only three prestack 
TAU 
migration
 
velocity
 analysis iterations were required to focus pre-salt 
reflections in time. However, the other line, which crosses the first line, is 
slightly more complicated, and thus, required five iterations to approach the 
final, reasonably focused, time image. These results compared favorably with 
images obtained for the same two lines using the Common-focus-point imaging 
technique, developed recently at Delft University. After mapping both images to 
depth using the final 
velocity
 models, the placement of reflectors in the two 
2-D lines were consistent at their crossing point. Some errors occurred due to 
the influence of out-of-plane reflections on 2-D imaging. However, such errors 
are identifiable and are generally small.