AccScience Publishing / JSE / Online First / DOI: 10.36922/JSE026090041
ARTICLE

A matrix-decomposition-based one-way wave propagator for VTI media

Pengyuan Sun1,2 Xinyu Zhang3* Guangyin Wang1,2 Heng Zhang1,2 Zhonglin Cao1,2 Jiachun You3
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1 BGPInc., China National Petroleum Corporation, Hebei, China
2 National Engineering Research Center of Oil&Gas Exploration Computer Software, Hebei, China
3 College of Geophysics, Chengdu University of Technology, Chengdu, Sichuan, China
Received: 1 March 2026 | Revised: 14 May 2026 | Accepted: 18 May 2026 | Published online: 22 July 2026
© 2026 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License ( https://creativecommons.org/licenses/by/4.0/ )
Abstract

Seismic imaging in vertically transversely isotropic (VTI) media is crucial for accurately reconstructing subsurface structures but remains challenging due to the complex wave propagation behavior inherent in anisotropic media. This study presents a novel method for constructing one-way wave propagation operators in VTI media, utilizing matrix decomposition and eigenvalue analysis. By applying eigenvalue decomposition, the method efficiently suppresses evanescent and pseudo-S waves, improving the stability and precision of wavefield extrapolation. Numerical simulations and field data applications demonstrate that the proposed method effectively reduces phase dispersion artifacts while enhancing the continuity of reflection interfaces, especially in challenging geological environments such as salt domes and overthrust models. When compared to traditional one-way methods, the proposed technique offers superior imaging quality, making it a promising tool for high-resolution seismic imaging in complex anisotropic media. These results demonstrate the potential of the method to improve seismic imaging in practical anisotropic subsurface environments.

Keywords
VTI media
One-way wave extrapolation
Matrix decomposition
Eigenvalue decomposition
Anisotropic seismic imaging
Funding
This work was supported by the open research project of the National Engineering Research Center for Oil and Gas Exploration Computer Software (DFWT-ZYRJ- 2025-JS-56) and Sichuan Science and Technology Program (2026NSFSC0234).
Conflict of interest
Jiachun You is an Early Career Editorial Board Member of this journal, but was not in any way involved in the editorial and peer-review process conducted for this paper, directly or indirectly. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing