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Second-Order and Higher-Order Perturbations of Travel Time in Isotropic and Anisotropic Media

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Abstract

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

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Authors and Affiliations

  1. Department of Geophysics, Charles University, Ke Karlovu 3, 121 16, Praha 2, Czech Republic

    Luděk Klimeš

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  1. Luděk Klimeš
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Klimeš, L. Second-Order and Higher-Order Perturbations of Travel Time in Isotropic and Anisotropic Media. Studia Geophysica et Geodaetica 46, 213–248 (2002). https://doi.org/10.1023/A:1019802003257

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