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Proceedings Paper

Linearity, resolution, and covariance in GRT inversions for anisotropic elastic moduli
Author(s): Carl Spencer; Maarten V. de Hoop; Robert Burridge
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Paper Abstract

This paper is concerned with the linearized inversion of elastic wave data using the Generalized Radon Transformation to give anisotropic medium parameters. Assumptions of linearity are examined by comparing linearized reflection coefficients calculated using the Born approximation with full plane-wave reflection coefficients. In typical sand/shale models we have found that the linearity assumption is valid only to approximately 60 degrees from the normal. Linear dependencies between the scattering patterns produced by individual moduli result in an ill-posed inverse problem. Utilizing P-wave data, we find that for the Transversely Isotropic case similarities in the C55 and C13 scattering directivity mean that they cannot be distinguished. C11 is best observed at wide-angle and hence estimates made using limited aperture data are subject to large error. Quasi-Monte Carlo techniques are adapted to carry out the 4D inversion integral.

Paper Details

Date Published: 1 September 1995
PDF: 13 pages
Proc. SPIE 2571, Mathematical Methods in Geophysical Imaging III, (1 September 1995); doi: 10.1117/12.218491
Show Author Affiliations
Carl Spencer, Schlumberger Cambridge Research (United Kingdom)
Maarten V. de Hoop, Schlumberger Cambridge Research (United Kingdom)
Robert Burridge, Schlumberger-Doll Research (United States)

Published in SPIE Proceedings Vol. 2571:
Mathematical Methods in Geophysical Imaging III
Siamak Hassanzadeh, Editor(s)

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