Abstract
—We consider several extensions of ray tracing (uniform asymptotics, complex rays, space-time rays) interrelated by the fact that they must be used jointly in order to deal with both focusing and attenuation. Two representative models of acoustic wave propagation are considered: elasticity and viscoelasticity. Basic ideas behind canonical functions and Maslov integrals for uniformly asymptotic evaluation of the wave field from ray field parameters are discussed. Complex space-time ray tracing algorithms for dispersive and attenuating media are presented. Two models of attenuation in a viscoelastic medium are compared: (1) complex space-time ray methods for general attenuation/dispersion, (2) real ray methods for weak attenuation.
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Received January 14, 1999; accepted July 19, 1999
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Hanyga, A., Seredyńska, M. Ray Tracing in Elastic and Viscoelastic Media. Pure appl. geophys. 157, 679–717 (2000). https://doi.org/10.1007/PL00001114
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DOI: https://doi.org/10.1007/PL00001114