Seismic data reconstruction using discrete orthonormal S-Transform based on compressive sensing

被引:0
|
作者
Zhao Z. [1 ]
Li Z. [1 ]
Zhang M. [1 ]
机构
[1] School of Geosciences, China University of Petroleum (East China), Qingdao, 266580, Shandong
来源
Zhang, Min (zhangm@upc.edu.cn) | 2020年 / Science Press卷 / 55期
关键词
Compressive sensing; Data reconstruction; Discrete orthonormal S-transform; Sparse transform;
D O I
10.13810/j.cnki.issn.1000-7210.2020.01.004
中图分类号
学科分类号
摘要
The reconstruction effect and computational efficiency of different sparse transform methods in compressive sensing are different.Therefore, a seismic data reconstruction method using discrete orthonormal S-transform (DOST) based on compressive sensing technology was proposed in this paper.By taking the inner product of a set of orthogonal basis functions and time series, the time-frequency matrix was obtained, in order to make original signals more sparse and thus improve the compressed sensing reconstruction effect of seismic data.This method makes up for the limitation that S transform cannot be used as the sparse transform in compressive sensing, and a new sparse transform method was introduced to the theoretical system of compressive sensing.Theoretical model test and real data application achieved overall satisfactory reconstruction effect, and demonstrated the fast iteration speed and stable convergency of the method proposed in this paper. © 2020, Editorial Department OIL GEOPHYSICAL PROSPECTING. All right reserved.
引用
收藏
页码:29 / 35
页数:6
相关论文
共 25 条
  • [1] Li Z., Wang J., Sun M., Et al., Strategy of seismic data regularized reconstruction, Journal of China University of Petroleum(Edition of Natural Science), 42, 1, pp. 40-49, (2018)
  • [2] Donoho D.L., Compressed sensing, IEEE Transactions on Information Theory, 52, 4, pp. 1289-1306, (2006)
  • [3] Song W., Wu C., Seismic data resolution improvement based on compressed sensing, Oil Geophysical Prospecting, 52, 2, pp. 214-219, (2017)
  • [4] Lustig M., Donoho D.L., Santos J., Et al., Compressed sensing MRI, IEEE Signal Processing Magazine, 25, 2, pp. 72-82, (2008)
  • [5] Oka A., Lampe L., A compressed sensing receiver for UWB impulse radio in bursty applications like wireless sensor networks, Physical Communication, 30, 14, pp. 2802-2811, (2009)
  • [6] Liu J., Han S., Ma J., Application of wavelet analysis in seismic data denoising, Progress in Geophysics, 21, 2, pp. 541-545, (2006)
  • [7] Morlet J., Arens G., Fourgeau E., Et al., Wave propagation and sampling theory-Part Ⅱ: Sampling theory and complex waves, Geophysics, 47, 2, pp. 222-236, (1982)
  • [8] Gao J., Chen X., Li J., Et al., Study on reconstruction of seismic data based on nonuniform Fourier transform, Progress in Geophysics, 24, 5, pp. 1741-1747, (2009)
  • [9] Choi H., Baraniuk R., Interpolation and denoising of nonuniformly sampled data using wavelet-domain processing, Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing, 3, pp. 1645-1648, (1999)
  • [10] Chui C.K., An Introduction to Wavelets, (2016)