Perturbations and spatial derivatives of amplitude in isotropic and anisotropic media

Ludek Klimes

Summary

The partial derivatives of travel time or amplitude with respect to model parameters are referred to as perturbations. Explicit equations for the spatial derivatives and perturbations of amplitude in both isotropic and anisotropic media are derived. The spatial derivatives and perturbations of the logarithm of amplitude can be calculated by numerical quadratures along rays.

Keywords

Ray theory, amplitude, transport equation, paraxial approximation, perturbation methods, inhomogeneous media, seismic anisotropy.

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In: Seismic Waves in Complex 3-D Structures, Report 13, pp. 107-118, Dep. Geophys., Charles Univ., Prague, 2003.
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