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The synthetic data

Figure [*]a shows a synthetic shot gather for a 1D medium. This gather is corrupted with internal multiples only. In Figure [*]b, we display the internal multiple model obtained using the CFP approach (). This internal multiple model is perfect and could be directly subtracted from the data in Figure [*]a. Note that the amplitude of the internal multiples is significantly less than the amplitude of the primaries, making the 312#312-norm unsuitable for estimating the shaping filters. Figure [*] displays the histograms of both the data and the internal multiples. The narrow peak of the noise indicates that the 1#1-norm should be used.

 
inter
inter
Figure 6
(a) A synthetic shot gather infested with internal multiples. (b) The internal multiples model obtained using the CFP technology. This model matches the internal multiples in (a).
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histodata
Figure 7
Histograms of the input data (Figure [*]a) and of the noise (Figure [*]b). The density function of the noise is much narrower than for the data. The 1#1-norm should be used to estimate the signal.
histodata
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next up previous print clean
Next: Adaptive filtering with non-stationary Up: Attenuation of internal multiples Previous: Attenuation of internal multiples
Stanford Exploration Project
6/7/2002