Calculation of Gaussian curvature of the slowness surface in monoclinic media

• Date: 2025
• Main Authors: Roganov, Yu.V., Stovas, A., Roganov, V.Yu.
• Format: Article
• Language: English
• Published: S. Subbotin Institute of Geophysics of the NAS of Ukraine 2025
• Subjects: monoclinic media; Gaussian curvature; singular point; slowness surface; phase velocity; Christoffel matrix
• Online Access: https://journals.uran.ua/geofizicheskiy/article/view/322834
• Journal Title: Geofizicheskiy Zhurnal

In this paper, we obtain formulas that determine the type of the slowness surface in the vicinity of a given point (regular or singular) on the vertical axis in a monoclinic medium with a horizontal plane of symmetry. The study uses a method based on a cylindrical coordinate system with the origin a...