Test Case

Figure shows a fully-sampled plane wave previously used as a test case for PEF estimation Brown et al. (2000). Nine traces (approximately 15 percent of traces) were removed from this model and were used to estimate a PEF. The only inputs to the algorithm are the nine traces and the distances between the traces. The results are promising, as the dip is easily recovered.

 

plane
Figure 3 Plane wave test case: (a) is the original fully-sampled data; (b) is the sub-sampled version; (c) is the inverse impulse response of the PEF; and (d) is an interpolated copy of coarsened data.

The inverse impulse response of the PEF, shown in Figure c, matches the dip of the original fully-sampled data. Figure d contains a re-sampled version of Figure b, which was then interpolated with the PEF estimated on the irregularly-sampled traces. The flat areas in that image are due to the re-sampling and not the PEF.