Seismic section enhancement method based on compressed sensing theory
A technology of compressed sensing and seismic section, applied in the direction of seismic signal processing, etc., can solve problems such as complicated calculation, difficulty in extracting wavelet data, and unsatisfactory processing effect, so as to achieve good effect and avoid complicated calculation process Effect
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[0026] A thin layer fast identification method based on compressive sensing theory. The specific implementation steps are as follows:
[0027] Step 1: Norm L of the data to be processed 0.8 Constrained reflection coefficient inversion, which separates the noise and reflection coefficient from the original seismic data to remove the noise and retain the reflection coefficient;
[0028] ① For seismic traces, the single-channel received signal can be expressed as:
[0029] y=Φ*x+n
[0030] The above formula can be expressed in the frequency domain as:
[0031] Y=WX+N=WFx+N
[0032] where Y is the seismic data, W is the seismic wavelet, x is the seismic reflection coefficient, and n is the noise. F is the Fourier transform matrix.
[0033] ② To solve the above formula, use L for the noise part p (01 Formal combinatorial constraint solving:
[0034] min‖X‖ 1 s.t.‖WX-Y‖ p <σ(0 [0035] If the seismic wavelet W satisfies the finite isometric property (RIP), then the o...
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