Earthquake data denoising method based on wavelet transform optimization
A wavelet transform, seismic data technology, applied in the field of oil and gas seismic exploration, can solve problems such as non-ideal, achieve the effect of suppressing random noise, improving signal-to-noise ratio, and improving fixed deviation
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[0021] In order to improve the quality of seismic data in areas with low signal-to-noise ratio, the noise and effective signals are separated. The method of the invention is adopted to denoise seismic data.
[0022] First input the seismic record f(t) with noise, and then calculate the variance σ of the seismic record i (t), the seismic record variance σ i (t) into the threshold λ, σ is the variance of the seismic record, N is the length of the seismic record; wavelet transform is performed on the seismic noisy record f(t), and the wavelet coefficient W is obtained j , k , where j is the number of wavelet decomposition layers, and k is the kth sample point; for the obtained wavelet coefficient W j , k Perform threshold function processing, the threshold function adopts the newly proposed fractional threshold function, namely:
[0023]
[0024] in,
[0025] where λ is the threshold, W j,k is the wavelet coefficient. Finally, the processed wavelet coefficients are...
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