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Book Chapter

Inversion of the traveltime delay between split shear-waves in anisotropic media

By
Ivan A. Simōes-Filho
Ivan A. Simōes-Filho
Instituto de Geociências, Universidade Estadual de Campinas, Brazil
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Jessé C. Costa
Jessé C. Costa
Núcleo de Pesquisa em Geofísica de Petróleo, Universidade Federal do Pará. Brazil
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Sharma Tadepalli
Sharma Tadepalli
Allied Geophysical Laboratories, University of Houston. USA
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Published:
January 01, 1996

Abstract

We propose a kinematic inversion procedure based on the traveltime delay between qSl- and qS2-waves in anisotropic media. This procedure is valid for weakly anisotropic media, where traveltime perturbation equations from isotropic to anisotropic media can be used. These equations are presented and it is shown that the traveltime delay between split shear-waves depends on 9 combinations of the density-normalized elastic parameters, which we call the birefringence parameters. The values of the birefringence parameters are then used as indicators of the type and orientation of the main symmetry elements of the most common anisotropic symmetry systems. There is no need for prior assumptions on the medium symmetry. These results are then applied to factorized anisotropic inhomogeneous media, where the traveltime delav is shown to be independent of the heterogeneity of the medium. This independence

allows us to use straight ray traveltime delay tomography to invert for the medium symmetry system. We then show, through an analysis of the condition number of the matrix of partial derivatives of the traveltime delay with respect to the birefringence parameters, that the stability of the inversion procedure is strongly dependent on the acquisition geometry. The inversion procedure is then applied to synthetic data computed by ray tracing and laboratory data obtained with ultrasonic frequencies on a sample of foamglas, a synthetic material which exhibits transverse isotropy.

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Contents

Seismic Anisotropy

Erling Fjær
Erling Fjær
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Rune M. Holt
Rune M. Holt
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Jaswant S. Rathore
Jaswant S. Rathore
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Society of Exploration Geophysicists
ISBN electronic:
9781560802693
Publication date:
January 01, 1996

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