Exact Elastodynamic Green Functions for Simple Types of Anisotropy Derived from Higher-Order Ray Theory
Author: Vavryčuk, V.
Source: Studia Geophysica et Geodaetica, Volume 45, Number 1, January 2001 , pp. 67-84(18)
Using higher-order ray theory, we derived exact elastodynamic Green functions for three simple types of homogeneous anisotropy. The first type displays an orthorhombic symmetry, the other two types display transverse isotropy. In all cases, the slowness surfaces of waves are either ellipsoids, spheroids or spheres. All three Green functions are expressed by a ray series with a finite number of terms. The Green functions can be written in explicit and elementary form similar to the Stokes solution for isotropy. In two Green functions, the higher-order ray approximations form a near-singularity term, which is significant near a kiss singularity. In the third Green function, the higher-order ray approximations also form a near-field term, which is significant near the point source. No effect connected with the line singularity was observed.
Document Type: Research Article
Affiliations: Centro de Pesquisa em Geofísica e Geologia, Instituto de Física, Universidade Federal da Bahia, Salvador, Bahia, Brazil. 40210-340 Salvador, Bahia, Brazil. On leave from: Geophysical Institute, Academy of Sciences of the Czech Republic, Prague, Czech Republic. Boční II/1401, 141 31 Praha 4, Czech Republic. firstname.lastname@example.org
Publication date: January 2001