Multiscale Reverse-Time-Migration-Type Imaging Using the Dyadic Parabolic Decomposition of Phase Space
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8548774
- author
- Andersson, Fredrik LU ; de Hoop, Maarten V. and Wendt, Herwig
- organization
- publishing date
- 2015
- 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
- Society for Industrial and Applied Mathematics
- 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
- 2016-04-01 13:24:02
- date last changed
- 2022-01-27 19:03:00
@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}}, keywords = {{Fourier integral operators; reverse-time migration; dyadic parabolic; decomposition; caustics; reflection seismology; restricted angle; transform}}, language = {{eng}}, number = {{4}}, pages = {{2383--2411}}, publisher = {{Society for Industrial and Applied Mathematics}}, 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}}, doi = {{10.1137/15M1022057}}, volume = {{8}}, year = {{2015}}, }