In this section I test the approach described in the previous section on a simple synthetic and a real dataset. Figure 3 shows the result of applying this filter to a velocity stack of a synthetic data.
Figure 3 shows that the filter does remove the strongest artifacts and the result spatially looks more like the original spike.
Figure 4 shows the result of filtering the velocity stack panel of one CMP gather of the Mobile AVO dataset. As we can see, strong individual events on the right panel are much easier to identify. Water-bottom multiples are clearly separated from other events and easy to identify.
Unfortunately, the filtering removes some of the energy from the model, limiting the application of the simple filtering described above. In the next section I discuss the possibilities and problems of incorporating the filtering approach as described above in a solution of the least-squares problem [equation (1)].