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![]() | Signal and noise separation in prestack seismic data using velocity-dependent seislet transform | ![]() |
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To separate pegleg multiples from primaries, we transform the
data using VD-seislet frame by involving different VD slope fields
(Figure 7a) according to equations 7
and
10. The primary velocities and calculated velocities of
different-order pegleg multiples are shown in
Figure 6b. The estimated curves of multiple
velocities indicate accurate trends in velocity spectra. We use a nonlinear shaping-regularization scheme
(equations 12-13) to separate different
wavefield components, which are shaped to be sparse in the
corresponding VD-seislet frame domain
(Figure 7b). In this example, the pattern number in equation 11
is selected to be 4. The
separated wavefields are shown in
Figure 8 and display reasonably accurate
separation results.
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hask,vscan
Figure 6. Synthetic model (a) and velocity trends of primaries and multiples (b). |
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dips,frame
Figure 7. VD slopes (a) and VD-seislet coefficients (b). |
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comp0,comp1,comp2,comp3
Figure 8. Separated wavefields. Primaries (a), first-order multiples (b), second-order multiples (c), and third-order multiples (d). |
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![]() | Signal and noise separation in prestack seismic data using velocity-dependent seislet transform | ![]() |
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