AccScience Publishing / JSE / Article
Submit to JSE
Cite this article
5
Views
Journal Browser
Volume | Year
Issue
Search
Forthcoming Issue
Current Issue
View All
News and Announcements
View All
ARTICLE

Seismic deconvolution using iterative transform-domain sparse inversion

JSE 2018, 27(2), 103–115;
Submitted: 9 June 2025 | Revised: 9 June 2025 | Accepted: 9 June 2025 | Published: 9 June 2025
© 2025 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Download PDF
Cite
XML
Abstract

Bai, M. and Wu, J., 2018. Seismic deconvolution using iterative transform-domain sparse inversion. Journal of Seismic Exploration, 27: 103-116. Post-stack seismic deconvolution is a classic inverse problem in seismic exploration, which can tremendously improve the resolution of seismic reflectors. Because of the WIE UG ID WULUE UI My CoURatEU, rane une werd lrverrsbrsie rr? 1 ~ 一 a 1 problem by applying different constraints. We propose apply: 了 domain ‘sity constraint to the inverse deconvolution problem and propose to solve it by a ple iterative thresh- olding algorithm. Compared with the alternative Wiener filtering, proposed iterative transform-domain thresholding algorithm can improve the tal-to-noise ratio (SNR) and the spatial coherency of the seismic data after onvolution. Both synthetic and field data example are used to demonstrate the erior performance of the proposed algorithm.

Keywords
seismic deconvolution
sparse inversion
sparse constraint
noise attenuation
thresholding operator
References
  1. Canales, L., 1984. Random noise reduction. Expanded Abstr., 54th Ann. Internat. SEG
  2. Mtg., Atlanta: 525-527.
  3. Chen, G., Fu, L.Y., Chen, K.F., Sun, W., Wei, W. and Guan, X., 2017a. Calculation of
  4. the seismic imaging complexity of complex geological structures. J. Seismic Explor.,
  5. 26: 81-104.
  6. Chen, W., Yuan, J., Chen, Y. and Gan, S., 2017b. Preparing the initial model for iterative
  7. deblending by median filtering. J. Seismic Explor., 26: 25-47.
  8. Chen, Y., 2015. Iterative deblending with multiple constraints based on shaping
  9. regularization. IEEE Geosci. Remote Sens. Lett., 12: 2247-2251.
  10. Chen, Y., 2016. Dip-separated structural filtering using seislet thresholding and adaptive
  11. empirical mode decomposition based dip filter. Geophys. J. Internat., 206: 457-469.
  12. Chen, Y., 2017. Fast dictionary learning for noise attenuation of multidimensional
  13. seismic data. Geophys. J. Internat., 209: 21-31.
  14. Chen, Y. and Fomel, S., 2015. Random noise attenuation using local signal-and-noise
  15. orthogonalization. Geophysics, 80(6): WD1-WD9.
  16. Chen, Y., Fomel, S. and Hu, J., 2014. Iterative deblending of simultaneous-source
  17. seismic data using seislet-domain shaping regularization. Geophysics, 79: V179-
  18. V189.
  19. Chen, Y., Gan, S., Qu, S. and Zu, S., 2015. Sparse inversion for water bubble removal
  20. and spectral enhancement. J. Appl. Geophys., 117: 81-90.
  21. Chen, Y. and Jin, Z., 2015. Simultaneously removing noise and increasing resolution of
  22. seismic data using waveform shaping. IEEE Geosci. Remote Sens. Lett., 13:
  23. 102-104.
  24. Chen, Y. and Ma, J., 2014. Random noise attenuation by f-x empirical mode
  25. decomposition predictive filtering. Geophysics, 79: V81-V91.
  26. Chen, Y., Zhou, Y., Chen, W., Zu, $., Huang, W. and Zhang, D., 2017c. Empirical low
  27. rank decomposition for seismic noise attenuation. IEEE Transact. Geosci. Remote
  28. Sens., 55: 4696-4711.
  29. Fomel, S. and Liu, Y., 2010,. Seislet transform and seislet frame. Geophysics, 75:
  30. V25-V38.
  31. Gan, S., Chen, Y., Wang, S., Chen, X., Huang, W. and Chen, H., 2016a. Compressive
  32. sensing for seismic data reconstruction using a fast projection onto convex sets
  33. algorithm based on the seislet transform. J. Appl. Geophys., 130: 194-208.
  34. Gan, S., Wang, S., Chen, Y. and Chen, X., 2016b. Simultaneous-source separation using
  35. iterative seislet-frame thresholding. IEEE Geosci. Remote Sens. Lett., 13: 197-201.
  36. Gan, S., Wang, S., Chen, Y., Chen, X. and Xiang, K., 2016c. Separation of simultaneous
  37. sources using a structural-oriented median filter in the flattened dimension. Comput.
  38. Geosci., 86: 46-54.
  39. Gan, S., Wang, S., Chen, Y., Zhang, Y. and Jin, Z., 2015. Dealiased seismic data
  40. interpolation using seislet transform with low-frequency constraint. IEEE Geosci.
  41. Remote Sens. Lett., 12: 2150-2154.
  42. Huang, W., Wang, R., Chen, X. and Chen, Y., 2017a. Double least squares projections
  43. method for signal estimation. IEEE Transact. Geosci. Remote Sens., 55: 4111-4129.
  44. Huang, W., Wang, R., Chen, Y., Li, H. and Gan, S., 2016. Damped multichannel singular
  45. spectrum analysis for 3D random noise attenuation. Geophysics, 81(4): V261-V270.
  46. Huang, W., Wang, R., Yuan, Y., Gan, S. and Chen, Y., 2017b. Signal extraction using
  47. randomized-order multichannel singular spectrum analysis. Geophysics, 82(2):
  48. V59-V74.
  49. Huang, W., Wang, R., Zhang, D., Zhou, Y., Yang, W. and Chen, Y., 2017c.
  50. Mathematical morphological filtering in a rotating coordinate system for coherent
  51. noise attenuation. Geophysics, 82: V369-V384. doi: 10.1190/geo2016-0580.1.
  52. Kong, D., Peng, Z., He, Y. and Fan, H., 2016. Seismic random noise attenuation using
  53. directional total variation in the shearlet domain. J. Seismic Explor., 25: 321-338.
  54. Li, H., Wang, R., Cao, S., Chen, Y. and Huang, W., 2016a. A method for low-frequency
  55. noise suppression based on mathematical morphology in microseismic monitoring.
  56. Geophysics, 81(3): V159-V 167.
  57. Li, H., Wang, R., Cao, S., Chen, Y., Tian, N. and Chen, X., 2016b. Weak signal detection
  58. 188 morphology in microseismic monitoring. J. Appl. Geophys., 133:
  59. 39-49.
  60. Liu, C., Wang, D., Hu, B. and Wang, T., 2016a. Seismic deconvolution with shearlet
  61. sparsity constrained inversion. J. Seismic Explor., 25: 433-445.
  62. Liu, G., Chen, X., Du, J. and Wu, K., 2012. Random noise attenuation using f-x
  63. regularized nonstationary autoregression. Geophysics, 77: V61-V69.
  64. Liu, W., Cao, S. and Chen, Y., 2016b. Applications of variational mode decomposition in
  65. seismic time-frequency analysis. Geophysics, 81(5): V365-V378.
  66. Liu, W., Cao, S., Chen, Y. and Zu, S., 2016c. An effective approach to attenuate random
  67. noise based on compressive sensing and curvelet transform. J. Geophys. Engineer.,
  68. 13: 135-145.
  69. Liu, W., Cao, S., Gan, S., Chen, Y., Zu, S. and Jin, Z., 2016d. One-step slope estimation
  70. for dealiased seismic data reconstruction via iterative seislet thresholding. IEEE
  71. Geosci. Remote Sens. Lett., 13: 1462-1466.
  72. Liu, W., Cao, S., Liu, Y. and Chen, Y., 2016e. Synchrosqueezing transform and its
  73. applications in seismic data analysis. J. Seismic Explor., 25: 27-44.
  74. Siahsar, M.A.N., Abolghasemi, V. and Chen, Y., 2017a. Simultaneous denoising and
  75. interpolation of 2D seismic data using data-driven non-negative dictionary learning.
  76. Sign. Process., 141: 309-321.
  77. Siahsar, M.A.N., Gholtashi, $., Kahoo, A.R., Chen, W. and Chen, Y., 2017b. Data-driven
  78. multi-task sparse dictionary learning for noise attenuation of 3D seismic data.
  79. Geophysics, 82(6): V385-V396. doi: 10.1190/geo2017-0084.1.
  80. Siahsar, M.A.N., Gholtashi, $., Olyaei, E., Chen, W. and Chen, Y., 2017c. Simultaneous
  81. denoising and interpolation of 3D seismic data via damped data-driven optimal
  82. singular value shrinkage. IEEE Geosci. Remote Sens. Lett., 14: 1086-1090.
  83. Sun, W. and Wang, H., 2016. Water-layer-related demultiple method using constraints in
  84. the sparse, local tau-p domain. J. Seismic Explor., 25: 463-483.
  85. Wu, J., Wang, R., Chen, Y., Zhang, Y., Gan, S. and Zhou, C., 2016. Multiples attenuation
  86. using shaping regularization with seislet domain sparsity constraint. J. Seismic
  87. Explor., 25: 1-9.
  88. Xue, Y., Chang, F., Zhang, D. and Chen, Y., 2016. Simultaneous sources separation via
  89. an iterative rank-increasing method. IEEE Geosci. Remote Sens. Lett., 13:
  90. 1915-1919.
  91. Xue, Y., Man, M., Zu, S., Chang, F. and Chen, Y., 2017. Amplitude-preserving iterative
  92. deblending of simultaneous source seismic data using high-order radon transform.
  93. J. Appl. Geophys., 139: 79-90.
  94. Yang, W., Wang, R., Wu, J., Chen, Y., Gan, S. and Zhong, W., 2015. An efficient and
  95. effective common reflection surface stacking approach using local similarity and
  96. plane-wave flattening. J. Appl. Geophys., 117: 67-72.
Share
Back to top
Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here
Accept