Numerical Algorithm of the Coupling Ray Theory in Weakly Anisotropic Media

2002 ◽  
pp. 1419-1435
Author(s):  
Petr Bulant ◽  
Luděk Klimeš
Keyword(s):  
Numerical Algorithm ◽  
Anisotropic Media ◽  
Ray Theory ◽  
Coupling Ray Theory

Finsler geometry of seismic ray path in anisotropic media

2009 ◽  
Vol 465 (2106) ◽  
pp. 1763-1777 ◽  
Author(s):  
Takahiro Yajima ◽  
Hiroyuki Nagahama
Keyword(s):  
Euclidean Geometry ◽  
Fractal Structure ◽  
Finsler Geometry ◽  
Roughness Parameter ◽  
Anisotropic Media ◽  
Convex Curve ◽  
Ray Theory ◽  
Fractal Curve ◽  
Non Euclidean Geometry ◽  
Ray Path

The seismic ray theory in anisotropic inhomogeneous media is studied based on non-Euclidean geometry called Finsler geometry. For a two-dimensional ray path, the seismic wavefront in anisotropic media can be geometrically expressed by Finslerian parameters. By using elasticity constants of a real rock, the Finslerian parameters are estimated from a wavefront propagating in the rock. As a result, the anisotropic parameters indicate that the shape of wavefront is expressed not by a circle but by a convex curve called a superellipse. This deviation from the circle as an isotropic wavefront can be characterized by a roughness of wavefront. The roughness parameter of the real rock shows that the shape of the wavefront is expressed by a fractal curve. From an orthogonality of the wavefront and the ray, the seismic wavefront in anisotropic media relates to a fractal structure of the ray path.

Seismic wavefield propagation in 2D anisotropic media: Ray theory versus wave-equation simulation

2014 ◽  
Vol 104 ◽  
pp. 163-171 ◽  
Author(s):  
Chao-ying Bai ◽  
Guang-yi Hu ◽  
Yan-teng Zhang ◽  
Zhong-sheng Li
Keyword(s):  
Wave Equation ◽  
Anisotropic Media ◽  
Ray Theory ◽  
Theory Versus ◽  
Seismic Wavefield
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