Examples of amplitude estimation

To demonstrate how the amplitude scalars appear for a real data case, the data in Figure  were analyzed. Figure shows the calculated scale factor for the noise. Notice that the strongest values follow what appears to be noisy traces on the input file in Figure . The noise in Figure was scaled by the scale factor for the noise, which is displayed at the bottom of Figure . The distribution of amplitudes seems reasonable. The top of Figure shows the original file scaled with the calculated signal scale factors. Once again, the distribution of amplitudes seems reasonable.

 

originalf
Figure 1 A shot gather with noise. The plot on the left has t² scaling, the plot on the right does not.

 

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Figure 2 The noise amplitudes based on the calculated RMS amplitudes of the signal and noise from equation 10.18. The plot on the left has t² scaling, the plot on the right does not.

 

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Figure 3 The original data scaled by the scale factors for the noise and signal. The top row shows the data scaled by the signal scale factor. The bottom row shows the data scaled by the noise scale factor. The plot on the left has t² scaling, the plot on the right does not.