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Prestack seismic inversion based on adaptive mixed-norm constraints

YUKUN TIAN1 ,  YANYAN MA1 ,  TAO LI2 ,  RUO WANG1 ,  XIAOYU CHUAI3 ,  WEI CHEN*4,5
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1 Key Laboratory of Unconventional Petroleum Geology, OGS, CGS, Beijing 100083, P.R. China.,
2 New Resources Geophysical Exploration Division, BGP Inc., CNPC, Zhuozhou, Hebei 072750, P.R. China.,
3 Hebei Coal Research Institute, Xingtai, Hebei 054000, P.R. China.,
4 Key Laboratory of Exploration Technology for Oil and Gas Resources of Ministry of Education, Yangtze University, Wuhan, Hubei 430100, P.R. China.,
5 Hubei Cooperative Innovation Center of Unconventional Oil and Gas, Wuhan, Hubei 430100, P. R. China.,
JSE 2020, 29(2), 139–157;
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/ )
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Abstract

Tian, Y.K., Ma, Y.Y., Li, T., Wang, R., Chuai, X.Y. and Chen, W., 2020. Prestack seismic inversion based on adaptive mixed-norm constraints. Journal of Seismic Exploration, 29: 139-157. Prior information plays a critical role in seismic inversion, which is used to reduce the ill-posed problem. Most of the inversion methods assume that the noise obeys Gaussian distribution. However, due to the diversity of noise in seismic data, it can hardly meet the prior hypothesis. In this paper, a seismic prestack inversion method based on adaptive mixed-norm constraint is proposed to cope with the different noise distribution, and improve the noise suppressing ability of inversion algorithm in prestack seismic data. First, the noise analysis of actual shale gas is realized through the forward modeling of well logging data. Second, the constraints of the L norm and the L4 norm are added to the target function. The new algorithm combines the ability of Lz norm on super-Gaussian and Gaussian noise, and L4 norm on sub-Gaussian noise. It adaptively regulates the weights between Lz norm and L4 norm through Kurtosis. This method improves the adaptive ability of the algorithm to sub-Gaussian, Gaussian, and super-Gaussian noise. By identifying the types of noise, the adaptive mix-norm inversion method is used to test the model, and the prestack simultaneous inversion is carried out in the actual shale gas data. The results show that the proposed method can obtain better inversion results compared to conventional methods.

Keywords
prestack inversion
mixed-norm
noise suppressing
Kurtosis
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Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing
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