ARTICLE

Efficient deplending using median filtering without correct normal moveout – with comparison on migrated images

MIN BAI JUAN WU
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School of Resources and Environment, North China University of Water Resources and Electric Power, Zhengzhou 450045, P.R. China. baimin@ncwu.edu.cn,
JSE 2017, 26(5), 455–478;
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/ )
Abstract

The benefits of simultaneous source acquisition are compromised by the challenges of dealing with intense blending noise. While the median filtering approach can be effectively used in attenuating blending interference due to its superb performance in rejecting spiky noise, it requires two or three times of normal moveout (NMO) based velocity analysis in order to exactly flatten the seismic data and thus it is computationally expensive. In this paper, we propose an efficient deblending framework that is based on a modified median filtering approach and does not require a correct NMO correction. The modified median filtering approach depends on a novel median filter that can spatially change the filter length and can deal with curved events due to the incorrect NMO. The median filter with variable window length is an adaptive median filter, thus it can be conveniently used in the presented processing workflow without the need of much human input. We not only compare the deblending performance in the data space, but also present detailed comparison in-the image space. An important criterion we use to compare the deblending performance is the local correlation between deblended data and removed blending noise.

References
  1. Abma, R., 2014. Shot scheduling in simultaneous shooting. Expanded Abstr., 84th Ann. Internat.
  2. SEG Mtg., Denver: 94-98.
  3. Abma, R., Zhang, Q., Arogunmati, A. and Beaudoin, G., 2012. An overview of BPs marine
  4. independent simultaneous source field trials. Expanded Abstr., 82nd Ann. Internat. SEG
  5. Mtg., Las Vegas: 1-5.
  6. Abma, R.L., T. Manning, M. Tanis, J. Yu, and M. Foster, 2010. High quality separation of
  7. simultaneous sources by sparse inversion. Extended Abstr., 72nd EAGE Conf., Barcelona.
  8. Akerberg, P., G. Hampson, J. Rickett, H. Martin, and J. Cole, 2008. Simultaneous source
  9. separation by sparse radon transform. Expanded Abstr., 78th Ann. Internat. SEG Mtg., Las
  10. Vegas: 2801-2805.
  11. Beasley, C.J., 2008. A new look at marine simultaneous sources. The Leading Edge, 27: 914-917.
  12. Beasley, C.J., R.E. Chambers and Z. Jiang, 1998. A new look at simultaneous sources. Expanded
  13. Abstr., 68th Ann. Internat. SEG Mtg., New Orleans: 133-135.
  14. Beasley, C.J., B. Dragoset and A. Salama, 2012. A 3D simultaneous source field test processed
  15. using alternating projections. A new active separation method. Geophys. Prosp., 60: 591-
  16. Berkhout, A., D. Verschuur and G. Blacquiére, 2012. Illumination properties and imaging promises
  17. of blended, multiple-scattering seismic data. A tutorial. Geophys. Prosp., 60: 713-732.
  18. Berkhout, A.J., 2008. Changing the mindset in seismic data acquisition. The Leading Edge, 27: 924-
  19. Chen, W., J. Yuan, Y. Chen and S. Gan, 2017a. Preparing the initial model for iterative deblending
  20. by median filtering. J. Seismic Explor., 26: 25-47.
  21. Chen, Y., 2015a. Deblending using a space-varying median filter. Explor. Geophys., 46: 332-341.
  22. Chen, Y., 2015b. Iterative deblending with multiple constraints based on shaping regularization.
  23. IEEE Geosci. Remote Sens. Lett., 12: 2247-2251.
  24. Chen, Y., 2016. Dip-separated structural filtering using seislet thresholding and adaptive empirical
  25. mode decomposition based dip filter. Geophys. J. Internat., 206: 457-469.
  26. Chen, Y., 2017, Fast dictionary learning for noise attenuation of multidimensional seismic data.
  27. Geophys. J. Internat., 209: 21-31.
  28. Chen, Y., H. Chen, K. Xiang, and X. Chen, 2017b. Preserving the discontinuities in least- squares
  29. reverse time migration of simultaneous-source data. Geophysics, 82(3): $185-S196.
  30. 476 BAI & WU
  31. Chen, Y. and S. Fomel, 2015. Random noise attenuation using local signal-and-noise
  32. orthogonalization. Geophysics, 80(6): WD1-WD9.
  33. Chen, Y., S. Fomel and J. Hu, 2014a. Iterative deblending of simultaneous-source seismic data
  34. using seislet-domain shaping regularization. Geophysics, 79: V179-V189.
  35. Chen, Y. and Z. Jin, 2015. Simultaneously removing noise and increasing resolution of seismic data
  36. using waveform shaping. IEEE Geosci. Remote Sens. Lett., 13: 102-104.
  37. Chen, Y. and J. Ma, 2014. Random noise attenuation by f-x empirical mode decomposition
  38. predictive filtering. Geophysics, 79: V81-V91.
  39. Chen, Y., J. Ma and S. Fomel, 2016. Double-sparsity dictionary for seismic noise attenuation.
  40. Geophysics, 81(2): V17-V30.
  41. Chen, Y., J. Yuan, Z. Jin, K. Chen and L. Zhang, 2014b. Deblending using normal moveout and
  42. median filtering in common-midpoint gathers. J. Geophys. Engineer., 11: 045012.
  43. Chen, Y., J. Yuan, S. Zu, S. Qu and S. Gan, 2015. Seismic imaging of simultaneous-source data
  44. using constrained least-squares reverse time migration. J. Appl. Geophys., 114: 32-35.
  45. Chen, Y., Y. Zhou, W. Chen, S. Zu, W. Huang and D. Zhang, 2017c. Empirical low rank
  46. decomposition for seismic noise attenuation. IEEE Transact. Geosci. Remote Sens.
  47. doi: 10.1109/TGRS.2017.2698342.
  48. Choi, Y. and T. Alkhalifah, 2012. Application of multi-source waveform inversion to marine
  49. streamer data using the global correlation norm. Geophys. Prosp., 60: 748-758.
  50. Doulgeris, P., K. Bube, G. Hampson and G. Blacquiére, 2012. Convergence analysis of a
  51. coherency-constrained inversion for the separation of blended data. Geophys. Prosp., 60:
  52. 769-781.
  53. Ebrahimi, S., A.R. Kahoo, Y. Chen and M.J. Porsani, 2017. A high-resolution weighted ab
  54. semblance for dealing with amplitude-variation-with-offset phenomenon. Geophysics, 82(2):
  55. V85-V93.
  56. Fomel, S., 2007. Local seismic attributes. Geophysics, 72: A29-A33.
  57. Gan, S., Y. Chen, S. Wang, X. Chen, W. Huang and H. Chen, 2016a. Compressive sensing for
  58. seismic data reconstruction using a fast projection onto convex sets algorithm based on the
  59. seislet transform. J. Appl. Geophys., 130: 194-208.
  60. Gan, S., Y. Chen, S. Zu, S. Qu and W. Zhong, 2015a. Structure-oriented singular value
  61. decomposition for random noise attenuation of seismic data. J. Geophys. Engineer. 12: 262-
  62. Gan, S., S. Wang, Y. Chen, J. Chen, W. Zhong and C. Zhang, 2016b, Improved random noise
  63. attenuation using f-x empirical mode decomposition and local similarity. Applied Geophysics,
  64. 13, 127-134.
  65. Gan, S., S. Wang, Y. Chen and X. Chen, 2016c, Simultaneous-source separation using iterative
  66. seislet-frame thresholding. IEEE Geosci. Remote Sens. Lett., 13: 197-201.
  67. Gan, S., S. Wang, Y. Chen, X. Chen and K. Xiang, 2016d. Separation of simultaneous sources
  68. using a structural-oriented median filter in the flattened dimension. Comput. Geosci., 86:
  69. 46-54.
  70. Gan, S., S. Wang, Y. Chen, S. Qu and S. Zu, 2016e. Velocity analysis of simultaneous-source data
  71. using high-resolution semblance-coping with the strong noise. Geophys. J. Internat., 204:
  72. 768-779.
  73. Gan, S., S. Wang, Y. Chen, Y. Zhang and Z. Jin, 2015b. Dealiased seismic data interpolation using
  74. seislet transform with low-frequency constraint. IEEE Geosci. Remote Sens. Lett., 12: 2150-
  75. Garotta, R., 1983. Simultaneous recording of several vibroseis seismic lines. Expanded Abstr., 53rd
  76. Ann. Internat. SEG Mtg., Las Vegas: 308-310.
  77. Guitton, A. and E. Daz, 2012. Attenuating crosstalk noise with simultaneous source full waveform
  78. inversion. Geophys. Prosp., 60: 759-768.
  79. Hampson, G., J. Stefani and F. Herkenhoff, 2008. Acquisition using simultaneous sources.
  80. Expanded Abstr., 78th Ann. Internat. SEG Mtg., Las Vegas: 2816-2820.
  81. EFFICIENT DEBLENDING WITHOUT CNMO 477
  82. Huang, W., R. Wang, X. Chen and Y. Chen, 2017a. Double least squares projections method for
  83. signal estimation. IEEE Transact. Geosci. Remote Sens.
  84. doi. 10.1109/TGRS.2017.2688420.
  85. Huang, W., R. Wang, Y. Chen, H. Li and S. Gan, 2016. Damped multichannel singular spectrum
  86. analysis for 3D random noise attenuation. Geophysics, 81(4): V261-V270.
  87. Huang, W., R. Wang, Y. Yuan, S. Gan and Y. Chen, 2017b. Signal extraction using
  88. randomized-order multichannel singular spectrum analysis. Geophysics, 82(2): V59-V74.
  89. Huo, S., Y. Luo and P.G. Kelamis, 2012. Simultaneous sources separation via multidirectional
  90. vector-median filtering. Geophysics, 77: V123-V131.
  91. Ikelle, L., 2007. Coding and decoding. Seismic data modeling, acquisition and processing. Expanded
  92. Abstr., 77th Ann, Internat. SEG Mtg., San Antonio: 66-70.
  93. IKelie, L.T., 2016. Up-down separation of obs wavefield using ica techniques. J. Seismic Explor. ,
  94. 25: 419-432.
  95. Ikelle, L.T., K.-J. Lee and H. Spears, 2000. Multishooting method for simulating seismic surveys.
  96. Application to 3D finite-difference modeling. Expanded Abstr., 70th Ann. Internat. SEG
  97. Mig., Calgary: 2209-2212.
  98. Kim, Y., I. Gruzinov, M. Guo and S. Sen, 2009. Source separation of simultaneous source obc
  99. data. Expanded Abstr., 79rd Ann. Internat. SEG Mtg., Houston, 51-55.
  100. Kong, D., Z. Peng, Y. He and H. Fan, 2016. Seismic random noise attenuation using directional
  101. total variation in the shearlet domain. J. Seismic Explor., 25: 321-338.
  102. Li, H., R. Wang, S. Cao, Y. Chen and W. Huang, 2016a. A method for low-frequency noise
  103. suppression based on mathematical morphology in microseismic monitoring. Geophysics,
  104. 81(3): V159-V 167.
  105. Li, H., R. Wang, S. Cao, Y. Chen, N. Tian and X. Chen, 2016b. Weak signal detection using
  106. multiscale morphology in microseismic monitoring. J. Appl. Geophys., 133: 39-49.
  107. Li, Y., Z. Li, K. Zhang and Y. Lin, 2016c. Frequency-domain full waveform inversion with rugged
  108. free surface based on variable grid finite-difference method. J. Seismic Explor. , 25: 543-559.
  109. Lin, T.T. and F.J. Herrmann, 2009. Designing simultaneous acquisitions with compressive sensing.
  110. Extended Abstr., 71st EAGE Conf., Amsterdam.
  111. Liu, C., D. Wang, B. Hu and T. Wang, 2016a. Seismic deconvolution with shearlet sparsity
  112. constrained inversion. J. Seismic Explor., 25: 433-445.
  113. Liu, G. and X. Chen, 2013. Noncausal f-x-y regularized nonstationary prediction filtering for
  114. random noise attenuation on 3D seismic data. J. Appl. Geophys., 93: 60-66.
  115. Liu, G., X. Chen, J. Du and J. Song, 2011. Seismic noise attenuation using nonstationary
  116. polynomial fitting. Appl. Geophys., 8: 18-26.
  117. Liu, W., S. Cao and Y. Chen, 2016b. Application of variational mode decomposition in random
  118. noise attenuation and time-frequency analysis of seismic data. Extended Abstr. 78th EAGE
  119. Conf., Vienna. doi. 10.3997/2214- 4609.201601249.
  120. Liu, W., S. Cao and Y. Chen, 2016c. Applications of variational mode decomposition in seismic
  121. time-frequency analysis. Geophysics, 81(5): V365-V378.
  122. Liu, W., S. Cao, Y. Chen and S. Zu, 2016d. An effective approach to attenuate random noise based
  123. on compressive sensing and curvelet transform. J. Geophys. Engineer., 13: 135-145.
  124. Liu, W., S. Cao, S. Gan, Y. Chen, S. Zu and Z. Jin, 2016e. One-step slope estimation for dealiased
  125. seismic data reconstruction via iterative seislet thresholding. IEEE Geosci. Remote Sens.
  126. Lett., 13: 1462-1466.
  127. Liu, W., S. Cao and Y. He, 2015. Ground roll attenuation using variational mode decomposition.
  128. Extended Abstr., 77th EAGE Conf., Madrid.
  129. Liu, W., S. Cao, Y. Liu and Y. Chen, 2016f. Synchrosqueezing transform and its applications in
  130. seismic data analysis. J. Seismic Explor., 25: 27-44.
  131. Liu, Y., C. Liu and D. Wang, 2009. A 1D time-varying median filter for seismic random, spike-like
  132. noise elimination. Geophysics, 74: V17-V24.
  133. Mahdad, A., 2012. Deblending of Seismic Data. Ph.D. thesis, Technical University Delft, Delft,
  134. Netherlands.
  135. 478 BAI & WU
  136. Mahdad, A., P. Doulgeris and G. Blacquiére, 2011. Separation of blended data by iterative
  137. estimation and subtraction of blending interference noise. Geophysics, 76: Q9-Q17.
  138. Mahdad, A., P. Doulgeris and G. Blacquiére, 2012. Iterative method for the separation of blended
  139. seismic data. Discussion on the algorithmic aspects. Geophys. Prosp., 60: 782-801.
  140. Martinez, D.R. and G.A. Crews, 1987. Evaluation of simultaneous vibroseis recording. Expanded
  141. Abstr., 57th Ann. Internat. SEG Mtg., New Orleans: 577-580.
  142. Moerig, R., F.J. Barr and D.L. Nyland, 2002. Simultaneous shooting using cascaded sweeps.
  143. Expanded Abstr., 72nd Ann. Internat. SEG Mtg., Salt Lake City: 74-76.
  144. Moore, I., 2010. Simultaneous source - processing and applications. Expanded Abstr., 72nd Ann.
  145. Internat. SEG Mtg., Salt Lake City.
  146. Moore, I., B. Dragoset, T. Ommundsen, D. Wilson, C. Ward and D. Eke, 2008. Simultaneous
  147. source separation using dithered sources. Expanded Abstr., 78th Ann. Internat. SEG Mtg.,
  148. Las Vegas: 2806-2809.
  149. Qu, S., H. Zhou, H. Chen, S. Zu and L. Zhi, 2014. Separation of simultaneous vibroseis data.
  150. Expanded Abstr., 84th Ann. Internat. SEG Mtg., Denver: 4340-4344.
  151. Qu, S., H. Zhou, Y. Chen, S. Yu, H. Zhang, J. Yuan, Y. Yang and M. Qin, 2015. An effective
  152. method for reducing harmonic distortion in correlated vibroseis data. J. Appl. Geophys.
  153. 115: 120-128.
  154. Qu, S., H. Zhou, R. Liu, Y. Chen, $. Zu, S. Yu, J. Yuan and Y. Yang, 2016. Deblending of
  155. simultaneous-source seismic data using fast iterative shrinkage-thresholding algorithm with
  156. firm-thresholding. Acta Geophys., 64: 1064-1092.
  157. Ren, C. and X. Tian, 2016. Prestack migration based on asymmetric wave-equation extrapolation.
  158. J. Seismic Explor., 25: 375-397.
  159. Shen, H., Y. Yan, C. Chen and B. Zhang, 2016. Multiple-transient surface wave phase velocity
  160. analysis in expanded f-k domain and its application. J. Seismic Explor., 25: 299-319.
  161. Siahsar, M.A.N., S. Gholtashi, E. Olyaei, W. Chen and Y. Chen, 2017. Simultaneous denoising
  162. and interpolation of 3D seismic data via damped data-driven optimal singular value
  163. shrinkage. IEEE Geosci. Remote Sens. Lett. doi.10.1109/LGRS.2017.2697942.
  164. Spitz, S., G. Hampson and A. Pica, 2008. Simultaneous source separation. a prediction- subtraction
  165. approach. Expanded Abstr., 78th Ann. Internat. SEG Mtg., Las Vegas: 2811-2814.
  166. Sun, W.,and H. Wang, 2016. Water-layer-related demultiple method using constraints in the sparse,
  167. local tau-p domain. J. Seismic Explor., 25: 463-483.
  168. Wapenaar, K., J. van der Neut and J. Thorbecke, 2012. Deblending by direct inversion.
  169. Geophysics, 77: A9-A12.
  170. Ward, R., R. Brune, A. Ross and L. Kumamoto, 1990. Phase encoding of vibroseis signals for
  171. simultaneous multisource acquisition. Expanded Abstr., 60th Ann. Internat. SEG Mtg., San
  172. Francisco: 938-941.
  173. Werner, H., 1993. Application of vibroseis simultaneous multiple source recording. Expanded
  174. Abstr., 63rd Ann. Internat. SEG Mtg., Washington D.C.: 569-571.
  175. Womack, J.E. and J.R. Cruz, 1988. Simultaneous vibroseis encoding techniques. Expanded Abstr.,
  176. 58th Ann. Internat. SEG Mtg., Anaheim: 101-104.
  177. Wood, L.C., 1974. Seismic data compression methods. Geophysics, 39: 499-525.
  178. Wu, J., R. Wang, Y. Chen, Y. Zhang, S. Gan and C. Zhou, 2016. Multiples attenuation using
  179. shaping regularization with seislet domain sparsity constraint. J. Seismic Explor., 25: 1-9.
  180. Xue, Y., F. Chang, D, Zhang and Y. Chen, 2016a. Simultaneous sources separation via an iterative
  181. rank-increasing method. IEEE Geosci. Remote Sens. Lett., 13: 1915-1919.
  182. Xue, Y., M. Man, S. Zu, F. Chang and Y. Chen, 2017. Amplitude-preserving iterative deblending
  183. of simultaneous source seismic data using high-order radon transform. J. Appl. Geophys. ,
  184. 139: 79-90.
  185. Xue, Y., J. Yang, J. Ma and Y. Chen, 2016b. Amplitude-preserving nonlinear adaptive multiple
  186. attenuation using the high-order sparse radon transform. J. Geophys. Engineer. , 13: 207-219.
  187. EFFICIENT DEBLENDING WITHOUT CNMO 479
  188. Xue, Z., Y. Chen, S. Fomel and J. Sun, 2016c. Seismic imaging of incomplete data and
  189. simultaneous-source data using least-squares reverse time migration with shaping
  190. regularization. Geophysics, 81: $11-S20.
  191. Yang, W., R. Wang, Y. Chen, J. Wu, S. Qu, J. Yuan and S. Gan, 2015a. Application of spectral
  192. decomposition using regularized non-stationary autoregression to random noise attenuation.
  193. J. Geophys. Engineer., 12: 175-187.
  194. Yang, W., R. Wang, J. Wu, Y. Chen, S. Gan and W. Zhong, 2015b. An efficient and effective
  195. common reflection surface stacking approach using local similarity and plane-wave flattening.
  196. J. Appl. Geophys., 117: 67-72.
  197. Zhang, D., Y. Chen, W. Huang and S. Gan, 2016a. Multi-step damped multichannel singular
  198. spectrum analysis for simultaneous reconstruction and denoising of 3D seismic data. J.
  199. Geophys. Engineer., 13: 704-720.
  200. Zhang, H., J. Xu, Q. Liu and J. Zhang, 2016b. Imaging 2d rugged topography seismic data. A
  201. topography pstm approach integrated with residual static correction. J. Seismic Explor. 25:
  202. 339-358.
  203. Zhong, W., Y. Chen, S. Gan, and J. Yuan, 2016, L, norm regularization for 3D seismic data
  204. interpolation. J. Seismic Explor., 25: 257-268.
  205. Zhou, Y., 2017. A POCS method for iterative deblending constrained by a blending mask. J. Appl.
  206. Geophys., 138: 245-254.
  207. Zhou, Y., C. Shi, H. Chen, J. Xie, G. Wu and Y. Chen, 2017. Spike-like blending noise
  208. attenuation using structural low-rank decomposition. IEEE Geosci. Remote Sens. Lett., 14.
  209. doi.10.1109/LGRS.2017.2687418.
  210. Zu, S., H. Zhou, Y. Chen, X. Pan, S. Gan and D. Zhang, 2016a. Interpolating big gaps using
  211. inversion with slope constraint. IEEE Geoscience and Remote Sensing Lett., 13,: 1369-1373.
  212. Zu, S., H. Zhou, Y. Chen, S. Qu, X. Zou, H. Chen and R. Liu, 2016b. A periodically varying
  213. code for improving deblending of simultaneous sources in marine acquisition. Geophysics,
  214. 81: P1-13.
  215. EFFICIENT DEBLENDING WITHOUT CNMO 479
  216. Xue, Z., Y. Chen, S. Fomel and J. Sun, 2016c. Seismic imaging of incomplete data and
  217. simultaneous-source data using least-squares reverse time migration with shaping
  218. regularization. Geophysics, 81: $11-S20.
  219. Yang, W., R. Wang, Y. Chen, J. Wu, S. Qu, J. Yuan and S. Gan, 2015a. Application of spectral
  220. decomposition using regularized non-stationary autoregression to random noise attenuation.
  221. J. Geophys. Engineer., 12: 175-187.
  222. Yang, W., R. Wang, J. Wu, Y. Chen, S. Gan and W. Zhong, 2015b. An efficient and effective
  223. common reflection surface stacking approach using local similarity and plane-wave flattening.
  224. J. Appl. Geophys., 117: 67-72.
  225. Zhang, D., Y. Chen, W. Huang and S. Gan, 2016a. Multi-step damped multichannel singular
  226. spectrum analysis for simultaneous reconstruction and denoising of 3D seismic data. J.
  227. Geophys. Engineer., 13: 704-720.
  228. Zhang, H., J. Xu, Q. Liu and J. Zhang, 2016b. Imaging 2d rugged topography seismic data. A
  229. topography pstm approach integrated with residual static correction. J. Seismic Explor. 25:
  230. 339-358.
  231. Zhong, W., Y. Chen, S. Gan, and J. Yuan, 2016, L, norm regularization for 3D seismic data
  232. interpolation. J. Seismic Explor., 25: 257-268.
  233. Zhou, Y., 2017. A POCS method for iterative deblending constrained by a blending mask. J. Appl.
  234. Geophys., 138: 245-254.
  235. Zhou, Y., C. Shi, H. Chen, J. Xie, G. Wu and Y. Chen, 2017. Spike-like blending noise
  236. attenuation using structural low-rank decomposition. IEEE Geosci. Remote Sens. Lett., 14.
  237. doi.10.1109/LGRS.2017.2687418.
  238. Zu, S., H. Zhou, Y. Chen, X. Pan, S. Gan and D. Zhang, 2016a. Interpolating big gaps using
  239. inversion with slope constraint. IEEE Geoscience and Remote Sensing Lett., 13,: 1369-1373.
  240. Zu, S., H. Zhou, Y. Chen, S. Qu, X. Zou, H. Chen and R. Liu, 2016b. A periodically varying
  241. code for improving deblending of simultaneous sources in marine acquisition. Geophysics,
  242. 81: P1-13.
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