On the computation of elastic wave group velocities for a general anisotropic medium

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This paper deals exclusively with the computation of the group velocities for the three wave modes (qP, qS1, qS2) in a general anisotropic medium, which may involve up to 21 density-normalized elastic moduli. We tackled the shear-wave singularity problem through two independent approaches: (1) an eigenvalue method, and (2) an eigenvector method. In the former, we derive analytic formulae and introduce an approximation for the directional derivative of the phase velocity at the singularity points. In the latter, we develop two simple schemes to find the eigenvectors of the quasi-shear waves at the singularity points. Computational experiments have been conducted to show the merits and validity of both approaches...

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