Seismic data de-noising method adopting adaptive wavelet threshold function
A technology of wavelet threshold and seismic data, applied in the field of oil and gas seismic exploration, can solve the problems of signal oscillation, time-varying signal de-noising effect is limited, unsatisfactory, etc.
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[0029] In order to improve the quality of seismic data in areas with low signal-to-noise ratio, the noise and effective signals are separated to achieve pre-stack denoising of seismic data. This method is used to denoise seismic data.
[0030] First, for the noisy signal f i (t) Do wavelet transform to get wavelet coefficient W j,k , input the noisy channel set f i (t), then find the variance σ i (t), find the adaptive weighted superposition s(t), where,
[0031]
[0032] n indicates that the selected adaptive window starts from the nth channel, m is the window length, i indicates the i-th channel, and t indicates time t, and iteratively calculates the adaptive variance σ point by point i,new (t), where σ i,new (t)=[f i (t)-s(t)] 2 , and then judge whether σ i,new (t)-σ i-1,new (t)i,new (t) replace the original variance σ i (t) Re-process the data, if so, then substitute the adaptive variance into to obtain the threshold λ, Create a new threshold function:
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