Results

A 2D shot from a seismic 3D marine dataset acquired in a complex area was used to test the preceding idea. Figure  shows the source wavefield and Figure  the receiver wavefield.

 

D
Figure 1 One shot source wavefield.

 

U
Figure 2 One shot receiver wavefield.

 

Image
Figure 3 One shot stack using zero lag of the cross-correlation imaging condition as stated in equation ().

 

Image_damp
Figure 4 One shot stack using constant damped imaging condition as stated in equation ().

 

Image_damp1
Figure 5 One shot stack using variable damped imaging condition as stated in equation ().

 

diff_damp
Figure 6 Difference between the constant damping (Figure ) and the variable damping (Figure ).

I calculated the reflection strength using the three imaging conditions stated in equations (), () and (). The results are shown in Figures -. We can see that the damped imaging conditions from equation () and equation () give a more balanced section. Some artifacts, like the shot artifact present in Figure , were eliminated in Figure  and Figure . In general, the continuity of the events was enhanced.

In the two damped images compared in Figure , the difference between the images is greatest in the center where the damping was not needed and least in the corners where it is really needed.

A final test for the variable damping imaging condition should be the stack of more shots to form the final image. But issues like the data driven selection of the damping factor still need to be addressed to make it applicable to a full seismic dataset.