journal article·2025-11-12Open access

Adaptive SVD Denoising in Time Domain and Frequency Domain

Meixuan Ren, Enli Zhang, Qiang Kang, Long Chen, Min Zhang, Lei Gao

Applied Sciences· Volume 15· Issue 22

Abstract

In seismic data processing, noise not only affects velocity analysis and seismic migration, but also causes potential risks in post-stack processing because of the artifacts. The singular value decomposition (SVD) method based on the time domain and the frequency domain is effective for noise suppression, but it is very sensitive to singular value selection. This paper proposes a method of adaptive SVD denoising in both time and frequency domains (ASTF), with three steps. Firstly, two Hankel matrices are constructed in the time domain and frequency domain, respectively. Secondly, the parameters of the reconstruction matrix are adaptively selected based on the singular value second-order difference spectrum. Finally, the weights of these two matrices are learned through ternary search. Experiments were carried out on synthetic data and field data to prove the effectiveness of ASTF. The results show that this method can effectively suppress noise.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Seismic Imaging and Inversion Techniques · Machine Fault Diagnosis Techniques · Seismic Waves and Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Exploration and Development Research Institute, Southwest Oil and Gas Field, PetroChina, Chengdu 610041, China

School of Computer Science and Software Engineering, Southwest Petroleum University, Chengdu 610500, China

Funding

Exploration and Development Research Institute, Southwest Oil and Gas Field, PetroChina

References (32)

Show source-provided references
1. Seismic Data Denoising for Complex Structure Using BM3D and Similarity10.1016/j.jappgeo.2019.04.018 ↗
2. Random noise reduction using a hybrid method based on ensemble empirical mode decomposition
3. Seismic Random Noise Attenuation Using Effective and Efficient Dictionary Learning10.1016/j.jappgeo.2021.104258 ↗
4. Empirical mode decomposition for seismic time-frequency analysis10.1190/geo2012-0199.1 ↗
5. Instantaneous spectral attributes to detect channels10.1190/1.2428268 ↗
6. Comparisons of Wavelets, Contourlets and Curvelets in Seismic Denoising10.1016/j.jappgeo.2009.08.002 ↗
7. Seismic Random Noise Attenuation Using Synchrosqueezed Wavelet Transform and Low-Rank Signal Matrix Approximation10.1109/TGRS.2017.2730228 ↗
8. Wave propagation and sampling theory10.1190/1.1441328 ↗
9. Coherent and random noise attenuation using the curvelet transform10.1190/1.2840373 ↗
10. Enhancing 3D post-stack seismic data acquired in hardrock environment using 2D curvelet transform10.1111/1365-2478.12234 ↗
11. Dip-separated structural filtering using seislet transform and adaptive empirical mode decomposition based dip filter10.1093/gji/ggw165 ↗
12. Noise Suppression of Microseismic Data Based on A Fast Singular Value Decomposition Algorithm10.1016/j.jappgeo.2019.103831 ↗
13. Ensemble empirical mode decomposition: A noise-assisted data analysis method10.1142/S1793536909000047 ↗
14. On the Relationships between SVD, KLT and PCA10.1016/0031-3203(81)90082-0 ↗
15. Golyandina, N., Nekrutkin, V., and Zhigljavsky, A.A. (2001). Analysis of Time Series Structure: SSA and Related Techniques, Chapman & Hall/CRC.10.1201/9781420035841 ↗
16. Adaptive singular spectrum analysis for seismic denoising and interpolation10.1190/geo2018-0350.1 ↗
17. Ji, G., and Wang, C. (2022). A Denoising Method for Seismic Data Based on SVD and Deep Learning. Appl. Sci., 12.10.3390/app122412840 ↗
18. Tube wave suppression in high frequency mine seismic data by singular value decomposition10.1071/EG995512 ↗
19. Singular value decomposition-based reconstruction algorithm for seismic traveltime tomography10.1109/83.777099 ↗
20. Local singular value decomposition for signal enhancement of seismic data10.1190/1.2435967 ↗
21. Bayati, F., and Trad, D. (2023). 3-D Data Interpolation and Denoising by an Adaptive Weighting Rank-Reduction Method Using Multichannel Singular Spectrum Analysis Algorithm. Sensors, 23.10.3390/s23020577 ↗
22. Seismic data noise attenuation and interpolation using singular value decomposition in frequency domain
23. Akram, J., Chen, Z., Eaton, D., and Wei, X. (2016, January 24–29). Time-frequency denoising of microseismic data. Proceedings of the SEG International Exposition and Annual Meeting, Houston, TX, USA. sEG-2016-13681108.10.1190/segam2016-13681108.1 ↗
24. SNR Enhancement for Downhole Microseismic Data Using CSST10.1109/LGRS.2016.2572721 ↗
25. Noise suppression for microseismic data by non-subsampled shearlet transform based on singular value decomposition10.1111/1365-2478.12576 ↗
26. Hu, Y., Huang, J., Tian, Z., and Pan, S. (2019). Ground microseismic data denoising based on single-channel singular value decomposetion and amplitude ratio. Geophys. Prospect. Pet., 58.
27. Sabbione, J., Velis, D., and Sacchi, M. (2013, January 22–27). Microseismic data denoising via an apex-shifted hyperbolic Radon transform. Proceedings of the SEG International Exposition and Annual Meeting, Houston, TX, USA.10.1190/segam2013-1414.1 ↗
28. Simultaneous denoising and reconstruction of 5-D seismic data via damped rank-reduction method10.1093/gji/ggw230 ↗
29. EMD-seislet transform10.1190/geo2017-0554.1 ↗
30. Deblending of simultaneous source data using a structure-oriented space-varying median filter10.1093/gji/ggaa189 ↗
31. A singularly valuable decomposition: The SVD of a matrix10.1080/07468342.1996.11973744 ↗
32. F-xy Cadzow noise suppression