Computation of velocities and polarization vectors in weakly anisotropic media

• Date: 2021
• Main Authors: Roganov, Yu. V., Stovas, A., Roganov, V. Yu.
• Format: Article
• Language: Russian
• Published: S. Subbotin Institute of Geophysics of the NAS of Ukraine 2021
• Subjects: phase velocity; group velocity; polarization vector; Christoffel equation; perturbation theory
• Online Access: https://journals.uran.ua/geofizicheskiy/article/view/236381
• Journal Title: Geofizicheskiy Zhurnal

To compute the phase velocities in the weakly anisotropic media, we propose to transform the Christoffel matrix K into an adapted coordinate system, and, then, apply the perturbation theory to the resulting matrix X. For a weakly anisotropic medium, the off-diagonal elements of the matrix X are smal...