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Determination of weak anisotropy parameters from qP wave slowness and polarization vectors.

By Xuyao Zheng

Abstract

In this thesis we concentrate on the qP wave data. The perturbation theory is applied to the Christoffel equation to get approximate formulae for slowness and polarization vectors of qP wave. The medium is assumed to be weakly anisotropic, but of arbitrary symmetry. Not only the perturbation caused by the medium parameters is considered, but the perturbation caused by the wave normal is considered as well. We obtain three linearized equations expressing qP wave slowness and polarization vectors in terms of parameters of a reference isotropic medium and 15 weak anisotropy (WA) parameters. One equation relates the WA parameters to the slowness vector and the other two relate the WA parameters to the polarization vector. We eliminate the two usually unknown horizontal components of the slowness vector from the above-mentioned three equations, reducing them into a single equation. The equation is independent on structural complexities in the overburden, does not depend on the orientation of the borehole, and requires no assumptions about local homogeneity around the receivers.Available from STL Prague, CZ / NTK - National Technical LibrarySIGLECZCzech Republi

Topics: 08F - Seismology, earthquakes
Publisher: Praha (Czech Republic) : Univerzita Karlova Praha
Year: 2003
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Provided by: OpenGrey Repository
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