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Global Geology 2015, 18(1) 59-66 DOI:
ISSN: 1673-9736 CN: 22-1371/P |
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Seislet transform denoising based on total variation minimization |
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ZHANG Peng, LIU Yang, LIU Cai, CUI Fangzi, YANG Xueting and PEI Sijia |
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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 |
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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�� |
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Keywords��
seislet transform
total variation minimization
hard threshold
pseudo- Gibbs artifact
removing random noise
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