The exact analytical solution for the plane S wave, propagating along the axis of spirality in the simple 1-D anisotropic "twisted crystal" model, is known. In this contribution, the exact solution and eight ray-theory approximate solutions of different provenance are numerically compared. The eight approximate solutions are: (a1) coupling ray theory solution calculated by evaluating the analytical solution of the coupling ray theory equations, (a2) coupling ray theory solution calculated by 3-D ray tracing package CRT, (a3) coupling ray theory solution calculated by 3-D ray tracing package ANRAY, (b1) zero-order quasi-isotropic approximation to the coupling ray theory calculated by evaluating the analytical solution of the quasi-isotropic ray theory equations, (b2) zero-order quasi-isotropic approximation calculated by 3-D ray tracing package ANRAY, (c1) anisotropic ray theory solution calculated by evaluating the analytical solution of the anisotropic ray theory equations, (d1) isotropic ray theory solution calculated by evaluating the analytical solution of the isotropic ray theory equations, (d2) isotropic ray theory solution calculated by 3-D ray tracing package CRT.
Coupling ray theory, quasi-isotropic approximation, anisotropic ray theory, isotropic ray theory, validity conditions of ray methods.
The paper is available in PDF (166 kB).
Bulant, P., Klimes, L., Psencik, I. & Vavrycuk, V. (2004): Comparison of ray methods with the exact solution in the 1-D anisotropic "simplified twisted crystal" model. Stud. geophys. geod., 48, 675-688.
Bulant, P., Klimes, L. & Psencik, I.: Comparison of ray methods with the exact solution in the 1-D anisotropic "twisted crystal" model. Expanded Abstracts of 70th Annual Meeting (Calgary), pp. 2289-2292, Soc. Explor. Geophysicists, Tulsa, 2000.
SW3D
- main page of consortium Seismic Waves in Complex 3-D Structures .