Global Geology 2015, 18(1) 59-66 DOI:     ISSN: 1673-9736 CN: 22-1371/P

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Keywords
seislet transform
total variation minimization
hard threshold
pseudo- Gibbs artifact
removing random noise
Authors
ZHANG Peng
LIU Yang
LIU Cai
CUI Fangzi
YANG Xueting and PEI Sijia
PubMed
Article by ZHANG Peng
Article by LIU Yang
Article by LIU Cai
Article by CUI Fangzi
Article by YANG Xueting and PEI Sijia

Seislet transform denoising based on total variation minimization

ZHANG Peng, LIU Yang, LIU Cai, CUI Fangzi, YANG Xueting and PEI Sijia

1�� College of Geo- Exploration Science and Technology��Jilin University��Changchun 130026��China; 2�� Center for Hydrogeology and Environmental Geology Survey��CGS��Baoding 071071��Hebei��China

Abstract��

Attenuation of noise is a persistent problem in seismic exploration�� The authors use conventional de- noising method to remove noise which may cause vibration near the discontinuity called pseudo- Gibbs artifact�� In order to remove the artifact��the study proposed a method combining the seislet transform and total variation minimization�� Firstly��the data are converted into the seislet transform domain�� Secondly��the hard threshold was used for eliminating the noise and keep useful signal��which is the initial input for the next step�� Finally�� total variation minimization dealed with denoised data to recover boundary information and further eliminated the noise�� Synthetic data examples show that the method has feasibility in eliminating random noise and protecting detailed signal��and also shows better results than the classic f- x deconvolution�� The field data example also shows effective in practice�� It can remove the noise and preserve the discontinuity signal at the same time��

Keywords�� seislet transform   total variation minimization   hard threshold   pseudo- Gibbs artifact   removing random noise  
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