ARTICLE

Seismic reflectivity inversion by curvelet deconvolution: a comparative study and further improvements

RUO WANG1,2 YANGHUA WANG2
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1 The Key Laboratory of Unconventional Oil & Gas Geology, Oil and Gas Survey, China Geological Survey, Beijing 100029, P.R. China,
2 Centre for Reservoir Geophysics, Department of Earth Science and Engineering, Imperial College London, South Kensington, London SW7 2BP, U.K,
JSE 2017, 26(4), 331–349;
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, R. and Wang, Y,, 2017. Seismic reflectivity inversion by curvelet deconvolution: a comparative study and further improvements. Journal of Seismic Exploration, 26: 331-349. Curvelet deconvolution refers to seismic deconvolution for reflectivity inversion based on curvelet transform. The curvelet transform is a multi-scale and multi-directional transform that can provide a sparse representation of seismic reflectivity. When using this method to model the reflectivity, the signal is represented effectively by large coefficients and random noise is represented by small ones. In this paper, we conduct a comparative study in the context of reflectivity inversion, to investigate the performance of curvelet deconvolution, least-squares method and L,-norm deconvolution. It is shown that by using curvelet deconvolution, the inverted reflectivity profiles have a better signal-to-noise ratio (SNR) and a higher resolution than those obtained by the least-squares method. On the other hand, its results excel those obtained by L,-norm deconvolution in terms of the lateral continuity. Since curvelet deconvolution can offer a trade-off between the Sparseness and lateral continuity, we propose an enhanced L,-norm deconvolution by using the result obtained by curvelet deconvolution as the initial model. Numerical results show that the lateral continuity of the inversed reflectivity profile can be further improved by the proposed method.

Keywords
seismic reflectivity inversion
curvelet transform
L
-norm deconvolution
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Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing