Complex two-point rays in anisotropic inhomogeneous weakly dissipative media

Vlastislav Cerveny & Ivan Psencik

Summary

Ray perturbation theory is used to derive two-point complex ray equations in anisotro-pic, inhomogeneous, weakly dissipative media. The reference medium M0 is assumed to be non-dissipative, and the reference ray Omega0 connecting the points, S and R, to be real-valued. Simple equations for the complex, two-point, perturbed ray Omega, situated in the perturbed, weakly dissipative medium M, connecting points S and R, are derived. The basic step in the derivation consists in the determination of the initial-value attenuation vector at point S (i.e., of the imaginary-valued part of the slowness vector at S).

Keywords

Ray perturbation theory, inhomogeneous weakly dissipative anisotropic media, two-point complex rays.

Whole paper

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In: Seismic Waves in Complex 3-D Structures, Report 12, pp. 241-245, Dep. Geophys., Charles Univ., Prague, 2002.
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