References

• Claerbout, J. F., 1976, Fundamentals of Geophysical Data Processing: McGraw-Hill.

• Claerbout, J. F., 1991, Earth Soundings Analysis: Processing versus Inversion: Blackwell Scientific.

• Peacock, K. L. and Treitel, S., 1969, Predictive deconvolution: Theory and practice: Geophysics, 34, 155-169.

• Webster, G. M., 1978, Deconvolution, Chapter III: Geophysics reprint by SEG.

• Yilmaz, O., 1987, Seismic data processing: SEG monograph.

 

Gm1Gm1d
Figure 1 On the left is the original data; on the right is the data after wavelet decon, on this section the wavelet is compressed and the noise is not enhanced much.

 

Gm1.12fdf
Figure 2 On the left is the spectrum of the 12th trace of the original data; on the right is the spectrum after wavelet decon. The wavelet spectrum has been flattened but there are two mounds beyond half Nyquist frequency.

 

Infilters
Figure 3 On the left is our inverse wavelet filter, it does not enhance noise significantly. On the right is the conventional Burg inverse wavelet filter, it enhances noise significantly.

 

Inspectra
Figure 4 On the left is the spectrum of our inverse wavelet filter; on the right is the spectrum of Burg inverse wavelet.

 

Lowpass
Figure 5 On the left is the lowpass filtered inverse wavelet filter; on the right is its spectrum. Convolving this inverse wavelet filter with the seismogram flattens the wavelet spectrum without enhancing noise.