中文版 | English
Title

Determination of the phase-velocity directions in anisotropic media using a direction vector

Author
Corresponding AuthorZhang,Jianfeng
Publication Years
2022-11-01
DOI
Source Title
ISSN
0016-8033
EISSN
1942-2156
Volume87Issue:6Pages:C125-C138
Abstract

Determination of the phase-velocity direction (PVD) in anisotropic media is important in the general research of wave phenomena and in the construction of seismic modeling, imaging, and inversion algorithms for practical applications. By taking the dot product of a scaled displacement vector with both sides of the elastic wave equation and rearranging terms, we identify two relevant computational formulas for the group velocity and slowness vectors. The quantity in the numerator of this group-velocity vector is linked to the conventional Poynting vector which points in the group-velocity direction (GVD), and we thus refer to it as the direction vector for the GVD. Similarly, the quantity in the numerator of this slowness vector provides a new direction vector which points in the PVD, and we thus refer to it as the direction vector for the PVD. This new direction vector provides a convenient way to directly compute the PVD by using the extrapolated vector wavefields in general anisotropic media. We validate the effectiveness of the proposed direction vector for the PVD by using an analytical relation in a homogeneous transversely isotropic medium. Next, three anisotropic models are used to indicate the differences between the GVD and PVD, which are estimated by using the direction vectors for the GVD and PVD. The proposed direction vector also is suitable for the computation of the PVD in low-symmetry anisotropic media, including orthorhombic, monoclinic, or triclinic media.

Keywords
URL[Source Record]
Indexed By
SCI ; EI
Language
English
SUSTech Authorship
First ; Corresponding
WOS Research Area
Geochemistry & Geophysics
WOS Subject
Geochemistry & Geophysics
WOS Accession No
WOS:000969875300004
Publisher
ESI Research Field
GEOSCIENCES
Scopus EID
2-s2.0-85138768671
Data Source
Scopus
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/402658
DepartmentDepartment of Earth and Space Sciences
Affiliation
1.Southern University of Science and Technology,Department of Earth and Space Sciences,Shenzhen,China
2.National Engineering Research Center of Offshore Oil and Gas Exploration,Beijing,China
3.National Engineering Research Center of Offshore Oil and Gas Exploration,Beijing,China
First Author AffilicationDepartment of Earth and Space Sciences
Corresponding Author AffilicationDepartment of Earth and Space Sciences
First Author's First AffilicationDepartment of Earth and Space Sciences
Recommended Citation
GB/T 7714
Yang,Kai,Zhang,Jianfeng. Determination of the phase-velocity directions in anisotropic media using a direction vector[J]. GEOPHYSICS,2022,87(6):C125-C138.
APA
Yang,Kai,&Zhang,Jianfeng.(2022).Determination of the phase-velocity directions in anisotropic media using a direction vector.GEOPHYSICS,87(6),C125-C138.
MLA
Yang,Kai,et al."Determination of the phase-velocity directions in anisotropic media using a direction vector".GEOPHYSICS 87.6(2022):C125-C138.
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geo2021-0410.1.pdf(6045KB) Restricted Access--
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