Digitale Medien
Oxford, UK
:
Blackwell Publishing Ltd
Geophysical journal international
99 (1989), S. 0
ISSN:
1365-246X
Quelle:
Blackwell Publishing Journal Backfiles 1879-2005
Thema:
Geologie und Paläontologie
Notizen:
A Hamiltonian formalism is proposed for the calculation of rays in an anisotropic medium. This technique leads to a unified approach to calculate paraxial rays and rays perturbed by small changes of elastic parameters. We first study the perturbation of initial conditions (paraxial ray tracing). A set of rays propagating in the vicinity of a central ray is traced with the help of the so-called paraxial ray propagator. The interaction of these paraxial rays with an interface is simplified considerably in the Hamiltonian formulation. In the second part of the paper, the efficient determination of the rays and the propagator is discussed for a hexagonal anisotropic medium. We propose a finite element approach where the medium is divided into a set of elements with simple elastic parameter distributions. Analytical expressions of rays, paraxial rays and traveltimes are obtained for elliptical anisotropy. Expressions for general hexagonal anisotropy are obtained using ray perturbation theory. Examples of the calculation of rays and synthetic seismograms are presented.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1111/j.1365-246X.1989.tb02054.x
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