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
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).

 

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.