NDLI: Properties of Weak Contrast PP Reflection/Transmission Coefficients for Weakly Anisotropic Elastic Media

Content Provider	Springer Nature Link
Author	Pšenčík, Ivan Martins, Jorge Leonardo
Copyright Year	2001
Abstract	Approximate formulae for PP reflection/transmission (R/T) displacement coefficients for weak contrast interfaces separating weakly anisotropic media of an arbitrary symmetry are presented. The coefficients have a form of a sum of a well-known approximate PP reflection/transmission coefficient for a weak contrast interface separating two background isotropic halfspaces and a correction due to weak anisotropy. The correction is controlled, linearly, by the so-called weak anisotropy (WA) parameters. The coefficients are defined with respect to an arbitrary isotropic background. The formulae are convenient for description of coefficients of reflection and transmission in low symmetry weakly anisotropic media as well as in media with higher symmetry (orthorhombic, hexagonal) with arbitrarily oriented axes of symmetry. For anisotropies of higher symmetry, for which approximate formulae of other authors exist, we discuss the differences between these and our formulae and effects of these differences on the accuracy of approximate coefficients. Performance of the approximate formulae for R $_{PP}$ coefficients is tested on models with weak anisotropy and weak contrast interfaces as well as on models whose anisotropy and velocity contrast are in no way weak. Even in the latter case, the formulae yield satisfactory results. Accuracy of the approximate R $_{PP}$ coefficient depending on the choice of the background is then investigated. It is shown that the R $_{PP}$ coefficient can be described, approximately, by a formula, whose correction term due to anisotropy is independent of the S-wave background velocity and depends only slightly on the choice of the P-wave background velocity. The formulae for the R $_{PP}$ coefficients commonly used in literature for higher symmetry anisotropies are obtained by linearization of the above mentioned formula. Linearization leads to the dependence of the R $_{PP}$ coefficient on the choice of the S-wave background velocity and, generally, to a slight decrease of accuracy. Presented formulae are convenient for solving an inverse problem: determination of contrasts of parameters of anisotropic media surrounding an interface. Sensitivity of the approximate R $_{PP}$ coefficient to basic weak anisotropy parameters is presented.
Starting Page	176
Ending Page	199
Page Count	24
File Format	PDF
ISSN	00393169
Journal	Studia Geophysica et Geodaetica
Volume Number	45
Issue Number	2
e-ISSN	15731626
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2001-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Structural Geology Geophysics/Geodesy Meteorology/Climatology
Content Type	Text
Resource Type	Article
Subject	Geochemistry and Petrology Geophysics

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