A Spectrum Decomposition Method of Wigner Higher Order Spectrum Seismic Signals Based on Matching Pursuit

Abstract

A Wigner high-order spectral decomposition method for seismic signals based on matching pursuit. Firstly, read in the seismic section and select the atomic type; then select a piece of seismic data; The initial parameter set of the atom; perform a local search on the parameter set to find the atom that best matches the signal; calculate the diagonal slice spectrum of the Wigner higher-order spectrum of the best matching atom; calculate the residual error after projecting the signal in the direction of the best matching atom , and treat it as a new decomposition signal; sum the diagonal slice spectra of the Wigner higher-order spectra of all decomposed atoms, and use it as the Wigner higher-order spectrum time spectrum of the seismic data, and intercept single-frequency slices; for all Seismic data are subjected to the same method to obtain spectral decomposition results. The invention utilizes the matching pursuit method to remove the intersection item of the Wigner high-order spectrum, can obtain a seismic spectrum decomposition result with higher time-frequency aggregation, and provide more accurate information for subsequent seismic reservoir prediction and fluid identification.

Description

technical field [0001] The invention belongs to the field of non-stationary signal time-frequency analysis and seismic signal processing, and in particular relates to a Wigner high-order spectrum seismic signal spectrum decomposition method based on matching pursuit. Background technique [0002] Spectral decomposition is a seismic signal interpretation technique that decomposes seismic data into the time-frequency domain, thereby revealing that the time-frequency domain contains useful hydrocarbon-bearing information. Several studies have demonstrated the utility of this method for reservoir interpretation and prediction, such as reservoir thickness estimation, stratigraphic interpretation, and fluid identification. Traditional spectral decomposition methods, such as short-time Fourier transform, calculate the time-frequency distribution of signals by introducing window functions, so the time-frequency resolution is limited by the corresponding window functions, which canno...

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Problems solved by technology

However, the Wigner higher-order spectrum also has the same problem of cross-interference terms as WVD

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