Desert seismic data denoising and effective signal recovery by using improved shearlet transform based on the deep-learning coefficient selection

Dong, X., Li, Y. and Yang, B., 2021. Desert seismic data denoising and effective signal recovery by using improved shearlet transform based on the deep-learning coefficient selection. Journal of Seismic Exploration, 30: 455-479. Contamination of seismic data by background noise causes difficulties for imaging, reservoir fluid prediction, and stratigraphic interpretation. Desert seismic data poses a particular problem mainly due to two reasons: (1) low signal-to-noise ratio (SNR); (2) serious frequency spectrum overlapping between the effective signals and low-frequency noise (mainly including random noise and surface waves). Therefore, when apply sparse-transform-based methods to denoise desert seismic data, conventional threshold functions fail to distinguish the effective signal coefficients and low-frequency noise coefficients, which is likely to result in residual noise and signal leakage. To solve this problem, we utilize the convolutional neural network (CNN) to act as a threshold function, thereby establishing an optimal non-linear relationship between noisy coefficients and effective signal coefficients. In addition, in order to achieve multi-scale and multi-direction accurate noise suppression, we construct a corresponding training dataset for each sub-band, so as to obtain a CNN-based coefficient selection model suitable for this sub-band. In this paper, we take shearlet transform as an example to verify the effectiveness of the proposed CNN-based threshold function. Synthetic and real examples demonstrate that our method can effectively suppress the desert low-frequency noise and completely recover the effective signals reflected by layers.
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