Plane‐wave attenuation anisotropy in orthorhombic media

Abstract

PreviousNext No AccessSEG Technical Program Expanded Abstracts 2005Plane‐wave attenuation anisotropy in orthorhombic mediaAuthors: Yaping ZhuIlya TsvankinYaping ZhuCenter for Wave Phenomena, Colorado School of MinesSearch for more papers by this author and Ilya TsvankinCenter for Wave Phenomena, Colorado School of MinesSearch for more papers by this authorhttps://doi.org/10.1190/1.2144295 SectionsAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract We develop an analytic framework for describing the attenuation coefficients in orthorhombic media with orthorhombic attenuation. To take full advantage of the analogy between the Christoffel equations in the symmetry planes of orthorhombic and TI (transversely isotropic) media, we introduce a set of attenuation‐anisotropy parameters similar to the TI attenuation parameters ΕQ, δQ, and γQ. This notation, based on the same principle as Tsvankin's velocity‐anisotropy parameters for orthorhombic media, leads to simple linearized equations for the symmetry‐plane attenuation coeficients of all three modes (P,S1, and S2). The attenuation‐anisotropy parameters also allow us to simplify the P‐wave attenuation coeficient AP outside the symmetry planes under the assumption of weak attenuation and weak velocity and attenuation anisotropy. The approximate AP has the same form as the linearized phase‐velocity function, with Tsvankin's velocity parameters Ε(1,2) and Ε(1,2,3) replaced by the attenuation parameters ΕQ and ΕQ(1,2,3)The simple expression for the coeficient AP and the reduction in the number of parameters responsible for P‐wave attenuation provide a basis for inverting attenuation measurements from orthorhombic media. The attenuation processing has to be preceded by anisotropic velocity analysis that can be performed (in the absence of pronounced velocity dispersion) using existing algorithms for nonattenuative media.Permalink: https://doi.org/10.1190/1.2144295FiguresReferencesRelatedDetails SEG Technical Program Expanded Abstracts 2005ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2005 Pages: 2668 publication data© 2005 Copyright © 2005 Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished: 07 Dec 2005 CITATION INFORMATION Yaping Zhu and Ilya Tsvankin, (2005), "Plane‐wave attenuation anisotropy in orthorhombic media," SEG Technical Program Expanded Abstracts : 186-189. https://doi.org/10.1190/1.2144295 Plain-Language Summary PDF DownloadLoading ...