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Adaptive hybrid diffusion model using variational mode decomposition for edge preserving noise attenuation
Author(s) -
Feng Jun,
Zhu Bingxue,
Li Wei,
Chen Hui,
Zhou Bin,
Wu Shihu,
Guo Ke
Publication year - 2020
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/1365-2478.13010
Subject(s) - classification of discontinuities , noise (video) , attenuation , noise reduction , computer science , diffusion , algorithm , seismic noise , mathematics , geology , physics , optics , mathematical analysis , artificial intelligence , seismology , image (mathematics) , thermodynamics
Preserving the structural and stratigraphic discontinuities or edges is essential in seismic data processing and interpretation. According to several numerical experiments, it is obvious that random noise has a constant spectral density, whereas the structural features vary significantly within different frequency bands, which means that the ratio between the densities of noise and structural features varies significantly in different frequency bands. Therefore, we propose a method called adaptive hybrid diffusion to attenuate random noise, which utilizes a novel adaptive frequency‐based parameter. First, the adaptive hybrid diffusion method decomposes the seismic sections into several band‐limited portions using variational mode decomposition. These portions are called intrinsic mode functions, in which noise and structural energy have distinct differences. Subsequently, utilizing the adaptive frequency‐based parameter, each intrinsic mode function is divided into several monotonous portions that represent the noise or structural area. Afterwards, the total variation and L2 minimization algorithms are utilized separately to suppress the noise in different band‐limited monotonous areas. The algorithms are chosen dynamically, as the portion changes with the change in the adaptive parameter. Finally, these denoised portions are combined to obtain the denoised seismic section. Experimental results on synthetic and field seismic data showed that seismic noise is effectively suppressed by the adaptive hybrid diffusion method, with the edge details of seismic events well preserved.