Figure 4

At first glance these two fields do not show an obvious correlation. If we form a 2-D histogram (shown in Figure ) another story emerges. The parameters are correlated, and concentrated in top portion of the histogram. Figure shows the histogram from several different depths steps. The correlation and clustering of the parameters becomes even more obvious. Figure shows the same depths overlaid by the N-D Lloyd codebook. Note how the histograms features are easily identified. Figure shows the error percentage in the parameters by using the N-D Lloyd approach and by evenly partitioning the parameter range at each depth step. Not only is the evenly spaced partitioning scheme eight times more expensive, the difference between the true parameters at each model location and the selected parameters are significantly higher. Tang and Clapp (2006) use a 3-D version of Lloyd's algorithm for selected and parameters for anisotropic migration.

jeff.histo
A 2-D
histogram of the parameters shown in Figure . The vertical axis
is velocity (A), the horizontal axis is the stretching parameter (B). The amplitude
shows the number of times a given (A,B) combination exists in the data shown
in Figure . Note the correlation in the parameters.
Figure 5 |

Figure 6

Figure 7

Figure 8

4/5/2006