Second-Order and Higher-Order Perturbations of Travel Time in Isotropic and Anisotropic Media |
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| Authors: | Klimeš Luděk |
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| Affiliation: | (1) Department of Geophysics, Charles University, Ke Karlovu 3, 121 16 Praha 2, Czech Republic |
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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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| Keywords: | ray theory travel time Hamilton-Jacobi equation paraxial approximation perturbation methods inhomogeneous media seismic anisotropy |
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