CONCLUSION

In order to choose a good interpolator for Stolt migration, we compared the five different interpolation methods. The following table shows the relative differences in accuracy and speed of the five interpolators:

Interpolator Speed Accuracy

Nearest-neighbor ++++ +

Linear +++ ++

Linear plus cork-screw +++ +++

Harlan's 10-point ++ ++++

Muir's + +++++

Nearest-neighbor and linear interpolators produce too many artifacts. The linear plus cork-screw method reduces some artifacts. Harlan's interpolator provides an accurate interpolation with an acceptable speed. Muir's method is the most accurate but is also the slowest.

 

nearnb
Figure 1 Impulse response by nearest neighbor interpolation

 

lin
Figure 2 Impulse response by linear interpolation

 

linfaze
Figure 3 Impulse response by linear plus cork-screw interpolation

 

harlanz
Figure 4 Impulse response by Harlan's interpolation

 

muirz
Figure 5 Impulse response by Muir's interpolation