A Equação da Onda-imagem para Remigração na Profundidade em Meios Elipticamente Anisotrópicos

Authors

  • R. Aleixo
  • J. Schleicher

DOI:

https://doi.org/10.5540/tema.2005.06.02.0187

Abstract

A imagem de um refletor sísmico muda de posição na profundidade quando remigrada sob variação do modelo de velocidade. Esta “propagação” pode ser descrita por meio de uma equação diferencial parcial de segunda ordem semelhante à equação da onda acústica. Neste trabalho, levamos a dedução desta chamada equação da onda-imagem para meios elipticamente isotrópicos, utilizando as propriedades geométricas do problema da remigração sísmica. Como no caso isotrópico, a dedução utiliza uma metodologia que aplica a teoria dos raios padrão em ordem reverse. O objetivo é a construção de imagens do subsolo que correspondem a diferentes graus de anisotropia do meio, utilizando a propagação da imagem ao invés de múltiplas migrações.

References

[1] V. ˇ Cerven´y, “Seismic Ray Theory”, Cambridge University Press, Cambridge, 2001.

S.B. Fomel, Method of velocity continuation in the problem of seismic time migration, Russian Geology and Geophysics, 35, No. 5 (1994), 100-111.

K. Helbig, Elliptical anisotropy—its significance and meaning, Geophysics, 48 (1983), 825-832.

P. Hubral, M. Tygel e J. Schleicher, Seismic Image Waves, Geophys. J. Internat., 125 (1996), 431-442.

P. Hubral, J. Schleicher e M. Tygel, A unified aproach to seismic reflection imaging – Part I: Basic Concepts, Geophysics, 61 (1996), 742-758.

M.S. Jaya, “Imaging Reflection Seismic Data Using the Method of Velocity Continuation”, Tese de Doutorado, Universit¨at Karlsruhe, Karlsruhe, Alemanha, 1997.

C. Vanelle, A tutorial on elliptical anisotropy, Annual WIT Report., 6 (2002), 267-275.

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Published

2005-06-01

How to Cite

Aleixo, R., & Schleicher, J. (2005). A Equação da Onda-imagem para Remigração na Profundidade em Meios Elipticamente Anisotrópicos. Trends in Computational and Applied Mathematics, 6(2), 187–196. https://doi.org/10.5540/tema.2005.06.02.0187

Issue

Vol. 6 No. 2 (2005)

Section

Original Article

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