Gaussian curvature of the slowness surface in vicinity of singularity point in anisotropic media

作者：Alexey Stovas, Y. Roganov, V. Roganov · 发表于：Geophysical Journal International · 年份：2025 · DOI：10.1093/gji/ggaf011 · 被引用次数：2 · 研究领域：Nonlinear Waves and Solitons、Seismic Imaging and Inversion Techniques、Geometric Analysis and Curvature Flows

SUMMARY By using the Taylor series of Christoffel polynomial, we analyse the Gaussian curvature of the slowness surface in vicinity of the double (S1S2) and triple (PS1S2) singularity point for triclinic anisotropy model. For each point, we consider all type of degeneracy classes. The parabolic lines (zero Gaussian curvature) associated with the singularity points are defined for double and triple singularity point. It is shown the symmetry of anisotropic model results in the specific class of degeneracy for a given singularity point.