Fracture time-frequency representation based matching pursuit frequency division method
A matching tracking and characterization technology, applied in the direction of seismic signal processing, etc., can solve the problems that wavelet transform cannot obtain better frequency resolution, cannot meet the frequency division requirements of fractured reservoirs, and the relationship between scale and frequency is difficult to understand. Adaptability, meet the research needs of small cracks, and improve the effect of controllability
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[0018] The present invention will be further described below with reference to specific examples.
[0019] A matching pursuit frequency division method based on crack time-frequency representation in the embodiment of the present invention, the principle of the matching pursuit algorithm used in the matching tracking allocation method provided by the invention is: adaptively decompose non-stationary signals into redundant dictionaries A series of wavelets or linear combinations of atoms can be used to obtain the sparse decomposition representation of the signal. Due to the excellent characteristics of the signal sparse representation, the time-frequency space development with high energy aggregation can be obtained on the two-dimensional time-frequency distribution plane through the matching pursuit algorithm. Cloth features, as follows:
[0020] Suppose D is an over-complete library for signal decomposition, and the elements in D satisfy D={gγ:γ∈Γ} and ||g γ||=1. Let the si...
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