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

Andersson, Fredrik LU ; de Hoop, Maarten V. and Wendt, Herwig (2015) In SIAM Journal of Imaging Sciences 8(4). p.2383-2411
Abstract
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.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Fourier integral operators, reverse-time migration, dyadic parabolic, decomposition, caustics, reflection seismology, restricted angle, transform
in
SIAM Journal of Imaging Sciences
volume
8
issue
4
pages
2383 - 2411
publisher
SIAM Publications
external identifiers
  • wos:000367019300008
  • scopus:84954307465
ISSN
1936-4954
DOI
10.1137/15M1022057
language
English
LU publication?
yes
id
758fafc7-73dd-4c5b-9e79-5ca142ffc143 (old id 8548774)
date added to LUP
2016-01-29 08:25:39
date last changed
2017-01-01 05:38:58
@article{758fafc7-73dd-4c5b-9e79-5ca142ffc143,
  abstract     = {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.},
  author       = {Andersson, Fredrik and de Hoop, Maarten V. and Wendt, Herwig},
  issn         = {1936-4954},
  keyword      = {Fourier integral operators,reverse-time migration,dyadic parabolic,decomposition,caustics,reflection seismology,restricted angle,transform},
  language     = {eng},
  number       = {4},
  pages        = {2383--2411},
  publisher    = {SIAM Publications},
  series       = {SIAM Journal of Imaging Sciences},
  title        = {Multiscale Reverse-Time-Migration-Type Imaging Using the Dyadic Parabolic Decomposition of Phase Space},
  url          = {http://dx.doi.org/10.1137/15M1022057},
  volume       = {8},
  year         = {2015},
}