A Seismic Data Attenuation Compensation Method in Simultaneously Squeezed Transform Domain
A simultaneous extrusion and attenuation compensation technology, applied in the field of seismic exploration, can solve the problems of affecting time-frequency representation, limiting time-frequency resolution, and unfavorable attenuation compensation, so as to avoid noise amplification, enhance resolution, and facilitate reservoir description Effect
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[0074] The present invention is described in further detail below in conjunction with accompanying drawing:
[0075] In the synchrosqueezing transform domain, the present invention utilizes the sparse nature of the signal in the synchrosqueezing transform domain, expresses the attenuation compensation process as an inverse problem with L1 norm regularization, and solves it by an iterative reweighting algorithm, So as to achieve stable attenuation compensation, as follows:
[0076] According to the wave field extrapolation theory, for the seismic trace s0(t) with attenuation, its time-frequency domain is expressed as S0(ω,τ), and the attenuation compensation process in the time-frequency domain can be described as:
[0077]
[0078] Among them, S(ω,τ) is the time-frequency representation of the attenuation-compensated signal, ω is the frequency, τ is the time, Λ(ω,τ) is the attenuation compensation operator, and Q is the predetermined medium quality factor.
[0079] The att...
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