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Multiscale Reverse-Time-Migration-Type Imaging Using the Dyadic Parabolic Decomposition of Phase Space

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Author

  • Fredrik Andersson
  • Maarten V. de Hoop
  • Herwig Wendt

Summary, in English

We develop a representation of reverse-time migration (RTM) in terms of Fourier integral operators, the canonical relations of which are graphs. Through the dyadic parabolic decomposition of phase space, we obtain the solution of the wave equation with a boundary source and homogeneous initial conditions using wave packets. On this basis, we develop a numerical procedure for the reverse-time continuation from the boundary of scattering data and for RTM. The algorithms are derived from those we recently developed for the discrete approximate evaluation of the action of Fourier integral operators and inherit their conceptual and numerical properties.

Publishing year

2015

Language

English

Pages

2383-2411

Publication/Series

SIAM Journal of Imaging Sciences

Volume

8

Issue

4

Document type

Journal article

Publisher

Society for Industrial and Applied Mathematics

Topic

  • Mathematics

Keywords

  • Fourier integral operators
  • reverse-time migration
  • dyadic parabolic
  • decomposition
  • caustics
  • reflection seismology
  • restricted angle
  • transform

Status

Published

ISBN/ISSN/Other

  • ISSN: 1936-4954