ARTICLE

Seismic data interpolation with Curvelet domain sparse constrained inversion

DELI WANG WENQIAN BAO SHIBO XU HENG ZHU
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Faculty of Geo Exploration Science and Technology, Jilin University, Changchun 130026, P.R.China.,
JSE 2014, 23(1), 89–102;
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

Wang, D., Bao, W., Xu, S. and Zhu, H., 2014. Seismic data interpolation with Curvelet domain sparse constrained inversion. Journal of Seismic Exploration, 23: 89-102. To improve the accuracy of seismic data processing, the irregular, missing seismic data need interpolation. Retrieving the missing data can decrease the error in the prediction of multiple and the aliasing of image etc. The iterative threshold method based on /, norm optimization inversion with sparsity constraint can achieve better result with increase of the sparsity of the inversion parameters. Take the advantage of the sparse representation of seismic data in the Curvelet domain, we can get a better result when performing a /, norm optimization problem in seismic data analysis. In this paper, we apply this method in interpolation of missing seismic data, and using the Curvelet threshold iterative method after NMO correction, which make the data sparser. By comparing the results of the interpolation with and without NMO correction, we confirm that the Curvelet threshold iterative method can get a better effect in seismic missing data interpolation. Its results are more close to the initial model as well after the process of NMO correction.

Keywords
Curvelet transform
interpolation
threshold iteration
NMO correction
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Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing