Abstract
Time-domain airborne electromagnetic (AEM) data are frequently subject to interference from various types of noise, which can reduce the data quality and affect data inversion and interpretation. Traditional denoising methods primarily deal with data directly, without analyzing the data in detail; thus, the results are not always satisfactory. In this paper, we propose a method based on dictionary learning for EM data denoising. This method uses dictionary learning to perform feature analysis and to extract and reconstruct the true signal. In the process of dictionary learning, the random noise is filtered out as residuals. To verily the effectiveness of this dictionary learning approach for denoising, we use a fixed overcomplete discrete cosine transform (ODCT) dictionary algorithm, the method-of-optimal-directions (MOD) dictionary learning algorithm, and the K-singular value decomposition (K-SVD) dictionary learning algorithm to denoise decay curves at single points and to denoise profile data for different time channels in time-domain AEM. The results show obvious differences among the three dictionaries for denoising AEM data, with the K-SVD dictionary achieving the best performance.
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We express our sincere thanks to Professors Chen Kangyang and Ma Jianwei for their constructive comments.
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This paper was financially supported the Strategic Priority Research Program of the Chinese Academy of Sciences (No. XDA14020102), the National Natural Science Foundation of China (Nos. 41774125, 41530320, and 41804098), and the Key National Research Project of China (Nos. 2016YFC0303100, 2017YFC0601900).
Xue Shu-Yang, a graduate student, received her bachelor’s degree from the College of Geo-Exploration Science and Technology of Jilin University in 2019 and is currently pursuing a master’s degree from the College of Geo-Exploration Science and Technology of Jilin University. She is primarily engaged in geophysical electromagnetic forward and inversion theory and method research.
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Xue, Sy., Yin, Cc., Su, Y. et al. Airborne electromagnetic data denoising based on dictionary learning. Appl. Geophys. 17, 306–313 (2020). https://doi.org/10.1007/s11770-020-0810-1
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DOI: https://doi.org/10.1007/s11770-020-0810-1