Synthetic data examples

The first synthetic example is one previously used in chapter  to show how t-x prediction filtering can generate spurious events that appear as wavelet distortions. Figure  shows how inversion prediction for the noise using equation () compares to prediction filtering. Although the inversion prediction result shows more organized noise in the background than the prediction-filtering result, the amplitude of the signal is better preserved in the inversion prediction result. Close-ups of the wavelets are seen in Figure . Notice that the input event has been distorted by the t-x prediction-filter result. While the inversion prediction result still shows some distortion of the wavelet, the distortion is small and the amplitude of the wavelet is better preserved than it is in the prediction-filtering result.

 

synth3
Figure 3 A reflection buried in a field of random noise. The top plot is the original, the middle plot is the original with t-x prediction, and the bottom plot is the signal using the inversion results.

 

graph3 Figure 4 A single trace taken from the right side of the data. The original reflection on the top shows a three-point wavelet. The middle plot is the t-x prediction result. The bottom plot is the inversion prediction result.