Paraxial ray methods in inhomogeneous anisotropic media: Initial conditions |
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Authors: | Vlastislav Červený Tijmen Jan Moser |
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Institution: | (1) Department of Geophysics, Charles University, Faculty of Mathematics and Physics, Ke Karlovu 3, 121 16 Praha 2, Czech Republic;(2) Zeehelden Geoservices, van Alkemadelaan 550A, 2597 AV ’s-Gravenhage, The Netherlands |
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Abstract: | Paraxial ray methods have found broad applications in the seismic ray method and in numerical modelling and interpretation
of high-frequency seismic wave fields propagating in inhomogeneous, isotropic or anisotropic structures. The basic procedure
in paraxial ray methods consists in dynamic ray tracing. We derive the initial conditions for dynamic ray equations in Cartesian
coordinates, for rays initiated at three types of initial manifolds given in a three-dimensional medium: 1) curved surfaces
(surface source), 2) isolated points (point source), and 3) curved, planar and non-planar lines (line source). These initial
conditions are very general, valid for homogeneous or inhomogeneous, isotropic or anisotropic media, and for both a constant
and a variable initial travel time along the initial manifold. The results presented in the paper considerably extend the
possible applications of the paraxial ray method. |
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Keywords: | seismic anisotropy seismic ray method paraxial ray method dynamic ray equations |
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