The explicit equations for the third and higher partial travel-time derivatives in both isotropic and anisotropic media are derived. The third and higher partial travel-time derivatives may be evaluated by simple numerical quadratures along rays.
Ray theory, travel times, paraxial approximation, anisotropy, Green function.
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Klimes, L.: Calculation of the third and higher travel-time derivatives in isotropic and anisotropic media. Expanded Abstracts of 69th Annual Meeting (Houston), pp. 1751-1754, Soc. Explor. Geophysicists, Tulsa, 1999.