Linearity and nonlinearity integrated seismic wavelet extracting method based on high-order statistics

A nonlinear fusion, seismic wavelet technology, applied in seismic signal processing and other directions, can solve problems such as difficulty in initial parameter range, affecting algorithm optimization efficiency, and inability to solve problems.

Inactive Publication Date: 2012-11-07
戴永寿 +2
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Problems solved by technology

However, these two methods have their own defects: Compared with the nonlinear parameter estimation method (cumulant fitting method), the linearized parameter estimation method (cumulant matrix equation method) has a faster operation speed, but because only seismic Record the special slice information of cumulants. When wavelet extraction is performed on high-noise-signal-ratio and short-data seismic records, this method may have large estimation errors; the cumulant fitting optimization method makes full use of the cumulant information of seismic

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  • Linearity and nonlinearity integrated seismic wavelet extracting method based on high-order statistics

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[0030] The invention proposes an ARMA model parameter estimation method based on the combination of linear and nonlinear optimization algorithms based on high-order cumulants. This algorithm makes full use of the advantages of linear and nonlinear model parameter identification methods, and has the following characteristics:

[0031] 1. Compared with the MA model, the high-order cumulant-based seismic wavelet extraction method of the ARMA model also has the characteristics of more frugal parameters in the description of the seismic wavelet. Theoretical simulation analysis and actual data processing results show the feasibility of this method and efficiency.

[0032] 2. Using the cumulant matrix equation method to solve the initial value and initial search range of the ARMA model, which improves the operation efficiency of wavelet extraction.

[0033] 3. Use the cumulant fitting method to construct the fitting objective function, and then obtain the seismic wavelet extraction ...

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Abstract

The invention discloses a linearity and nonlinearity integrated seismic wavelet extracting method based on high-order statistics, which is characterized in that a linearity and nonlinearity combined method is utilized to solve seismic wavelet parameters after fitting objective function is established on an ARMA (auto regressive moving average) model. The method provided by the invention comprises the following steps of: firstly adopting a cumulant matrix equation method to initially estimate a wavelet model; then applying the obtained wavelet pre-estimated value in determination of an initial parameter searching space by a fitting optimization algorithm; on the basis, utilizing a cumulant fitting error to adjust a threshold value in the matrix equation method and search an accurate optimizing interval and further obtain the accurate order and parameter value of the model through the cumulant fitting method. The wavelet extracting method provided by the invention has high noise immunity, can extract the seismic wavelets with high accuracy in shorter time and has good application value in practical seismic data processing.

Description

Technical field: [0001] The invention belongs to the field of seismic signal processing. Background technique: [0002] Seismic wavelet estimation is one of the key issues in seismic signal processing, and it is the basis of seismic processing techniques such as seismic forward modeling, seismic inversion and deconvolution. High-precision seismic wavelet estimation has important practical value, and is an important research topic to be solved urgently in high-resolution processing technology in the field of oil and gas seismic exploration. [0003] The main motivations and starting points for using higher-order statistics in the fields of signal processing and system theory can be summarized as: (1) to suppress the influence of additive colored noise (whose power spectrum is unknown); (2) to identify non-causal, non-minimum phase systems Or reconstruct the non-minimum phase signal; (3) Extract various information caused by Gaussian deviation; (4) Detect and characterize the...

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Application Information

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IPC IPC(8): G01V1/28
Inventor 戴永寿彭星张亚南王俊岭魏磊
Owner 戴永寿
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