Cours de theory des rais G by Farra V. PDF

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By Farra V.

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Bull. Seism. Soc. , 78, 2062-2076. , Farra, V. , 1988. Ray tracing for earthquake location in laterally heterogeneous media. J. Geophys. , 93, 6585-6599. , 1991. Fast and accurate ray tracing by Hamiltonian perturbation. J. Geophys. , 96, 579-594. Virieux, J. and V. Farra, 1991. Ray tracing in 3-D complex isotropic media: An analysis of the problem. Geophysics, 56, 2057-2069.

Le theorie des rais classique (d'ordre zero) ne peut donner l'onde conique. cependant le terme d'ordre 1 dans le developpement permet d'obtenir cette onde (Cerveny and Ravindra, 1971). Des fonctions plus compliquees sont necessaires pour decrire la solution au voisinage de l'angle critique. e) Caustique Sur la caustique, la theorie des rais n'est pas valide car l'amplitude geometrique est in nie. Pres de la caustique, l'amplitude varie de facon importante et il y a interference de deux ondes. L'utilisation des termes d'ordre superieur n'ameliore pas la solution (ils sont tous in nis).

3 Presence d'interfaces La methode de l'optique geometrique donne une solution a ce probleme en invoquant le principe de localite. L'approximation d'ordre zero suppose qu'en chaque point de l'interface, la re exion se passe comme si l'onde etait plane et l'interface est remplacee par le plan tangent. Ce principe nous permet d'utiliser dans l'approximation d'ordre zero la formule des coe cients de re exion-refraction des ondes planes a une interface plane dans l'expression de l'amplitude. En presence d'une interface, nous avons donc creation d'une onde re echie et d'une onde transmise.

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Cours de theory des rais G by Farra V.

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