Wavefront construction in weakly anisotropic medium using isotropic ray tracing with velocity perturbation

Portugal, Rodrigo de Souza; Aggio, Alcides; Filpo, Eduardo

doi:10.3997/2214-4609-pdb.168.arq_460

Cited by 1 publication

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“…It represents a generalization of isotropic ray tracing to which it reduces for isotropic media. It can thus be used as a substitute for isotropic ray tracers in routine applications such as Kirchhoff depth migration (Portugal et al, 2003), based on ray tracing or wavefront construction (see Vinje et al, 1993).…”

Section: Introductionmentioning

confidence: 99%

First-order ray tracing for qP waves in inhomogeneous, weakly anisotropic media

Pšenčı́k

Farra

2005

GEOPHYSICS

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We propose approximate ray-tracing equations for qP-waves propagating in smooth, inhomogeneous, weakly anisotropic media. For their derivation, we use perturbation theory, in which deviations of anisotropy from isotropy are considered to be the first-order quantities. The proposed ray-tracing equations and corresponding traveltimes are of the first order. Accuracy of the traveltimes can be increased by calculating a secondorder correction along first-order rays.The first-order ray-tracing equations for qP-waves propagating in a general weakly anisotropic medium depend on only 15 weak-anisotropy parameters (generalization of Thomsen's parameters). The equations are thus considerably simpler than the exact raytracing equations. For higher-symmetry anisotropic media the equations differ only slightly from equations for isotropic media. They can thus substitute for the traditional isotropic ray tracers used in seismic processing. For vanishing anisotropy, the first-order ray-tracing equations reduce to standard, exact ray-tracing equations for isotropic media. Numerical tests for configuration and models used in seismic prospecting indicate negligible dependence of accuracy of calculated traveltimes on inhomogeneity of the medium. For anisotropy of about 8%, considered in the examples presented, the relative errors of the traveltimes, including the secondorder correction, are well under 0.05%; for anisotropy of about 20%, they do not exceed 0.3%. D65

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Section: Introductionmentioning

confidence: 99%