Helmholtz decomposition with a scalar Poisson equation in elastic anisotropic media

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外文摘要：P-and S-wave separation plays an important role in elastic reverse-time migration.It can reduce the artifacts caused by crosstalk between different modes and improve image quality.In addition,P-and S-wave separation can also be used to better understand and distinguish wave types in complex media.At present,the methods for separating wave modes in anisotropic media mainly include spatial non-stationary filtering,low-rank approximation,and vector Poisson equation.Most of these methods require multiple Fourier transforms or the calculation of large matrices,which require high computa-tional costs for problems with large scale.In this paper,an efficient method is proposed to separate the wave mode for anisotropic media by using a scalar anisotropic Poisson operator in the spatial domain.For 2D problems,the computational complexity required by this method is 1/2 of the methods based on solving a vector Poisson equation.Therefore,compared with existing methods based on pseudo-Helmholtz decomposition operators,this method can significantly reduce the computational cost.Nu-merical examples also show that the P and S waves decomposed by this method not only have the correct amplitude and phase relative to the input wavefield but also can reduce the computational complexity significantly.

外文关键词：

Anisotropic mediaScalar anisotropic Poisson equationImproved elastic wavefield decomposition

作者：

Xin-Yu Fang、Gang Yao、Qing-Qing Zheng、Ping-Min Zhang、Di Wu、Feng-Lin Niu

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作者单位：

State Key Laboratory of Petroleum Resources and Engineering(China University of Petroleum(Beijing)),Beijing,102249,China

Unconventional Petroleum Research Institute,China University of Petroleum(Beijing),Beijing,102249,China

State Key Laboratory of Petroleum Resources and Engineering,China University of Petroleum(Beijing),Beijing,102249,China

Department of Mathematics,College of Science,China University of Petroleum(Beijing),Beijing,102249,China

College of Geophysics,China University of Petroleum(Beijing),Beijing,102249,China

Department of Earth,Environmental and Planetary Sciences,Rice University,Houston,TX,77005,USA

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基金：

National Key R&D Program of Chinaproject of CNOOC LimitedR&D Department of China National Petroleum CorporationNSFCNSFCNSFCNSFC

项目编号：

2018YFA0702505CNOOC-KJ GJHXJSGG YF 2022-012022DQ0604-02U23B20159419741424207412912001311

出版年：

2024

DOI：

10.1016/j.petsci.2023.12.007

石油科学(英文版)

中国石油大学（北京）

石油科学(英文版)

影响因子：0.88

ISSN：1672-5107

年,卷(期)：2024.21(3)