In this paper, we evaluate the capacity of a fast 2-D ray+Born migration/inversion
algorithm to recover the true amplitude of the model parameters in
2-D complex media. The method is based on a quasi-Newtonian linearized
inversion of the scattered wavefield. Asymptotic Green's functions
are computed in a smooth reference model with a dynamic ray tracing
based on the wavefront construction method. The model is described
by velocity perturbations associated with diffractor points. Both
the first traveltime and the strongest arrivals can be inverted.
The algorithm is implemented with several numerical approximations
such as interpolations and aperture limitation around common midpoints
to speed the algorithm. Both theoretical and numerical aspects of
the algorithm are assessed with three synthetic and real data examples
including the 2-D Marmousi example. Comparison between logs extracted
from the exact Marmousi perturbation model and the computed images
shows that the amplitude of the velocity perturbations are recovered
accurately in the regions of the model where the ray field is single
valued. In the presence of caustics, neither the first traveltime
nor the most energetic arrival inversion allow for a full recovery
of the amplitudes although the latter improves the results. We conclude
that all the arrivals associated with multipathing through transmission
caustics must be taken into account if the true amplitude of the
perturbations is to be found. Only 22 minutes of CPU time is required
to migrate the full 2-D Marmousi data set on a Sun SPARC 20 workstation.
The amplitude loss induced by the numerical approximations on the
first traveltime and the most energetic migrated images are evaluated
quantitatively and do not exceed 8\% of the energy of the image computed
without numerical approximation. Computational evaluation shows that
extension to a 3-D ray+Born migration/inversion algorithm is realistic.
%0 Journal Article
%1 thierry_etal:1999
%A Thierry, Philippe
%A Operto, Stéphane
%A Lambaré, Gilles
%D 1999
%I SEG
%J Geophysics
%K geophysics seismics
%N 1
%P 162--181
%R 10.1190/1.1444513
%T Fast 2-D ray + Born migration/inversion in complex media
%U http://dx.doi.org/10.1190/1.1444513
%V 64
%X In this paper, we evaluate the capacity of a fast 2-D ray+Born migration/inversion
algorithm to recover the true amplitude of the model parameters in
2-D complex media. The method is based on a quasi-Newtonian linearized
inversion of the scattered wavefield. Asymptotic Green's functions
are computed in a smooth reference model with a dynamic ray tracing
based on the wavefront construction method. The model is described
by velocity perturbations associated with diffractor points. Both
the first traveltime and the strongest arrivals can be inverted.
The algorithm is implemented with several numerical approximations
such as interpolations and aperture limitation around common midpoints
to speed the algorithm. Both theoretical and numerical aspects of
the algorithm are assessed with three synthetic and real data examples
including the 2-D Marmousi example. Comparison between logs extracted
from the exact Marmousi perturbation model and the computed images
shows that the amplitude of the velocity perturbations are recovered
accurately in the regions of the model where the ray field is single
valued. In the presence of caustics, neither the first traveltime
nor the most energetic arrival inversion allow for a full recovery
of the amplitudes although the latter improves the results. We conclude
that all the arrivals associated with multipathing through transmission
caustics must be taken into account if the true amplitude of the
perturbations is to be found. Only 22 minutes of CPU time is required
to migrate the full 2-D Marmousi data set on a Sun SPARC 20 workstation.
The amplitude loss induced by the numerical approximations on the
first traveltime and the most energetic migrated images are evaluated
quantitatively and do not exceed 8\% of the energy of the image computed
without numerical approximation. Computational evaluation shows that
extension to a 3-D ray+Born migration/inversion algorithm is realistic.
@article{thierry_etal:1999,
abstract = {In this paper, we evaluate the capacity of a fast 2-D ray+Born migration/inversion
algorithm to recover the true amplitude of the model parameters in
2-D complex media. The method is based on a quasi-Newtonian linearized
inversion of the scattered wavefield. Asymptotic Green's functions
are computed in a smooth reference model with a dynamic ray tracing
based on the wavefront construction method. The model is described
by velocity perturbations associated with diffractor points. Both
the first traveltime and the strongest arrivals can be inverted.
The algorithm is implemented with several numerical approximations
such as interpolations and aperture limitation around common midpoints
to speed the algorithm. Both theoretical and numerical aspects of
the algorithm are assessed with three synthetic and real data examples
including the 2-D Marmousi example. Comparison between logs extracted
from the exact Marmousi perturbation model and the computed images
shows that the amplitude of the velocity perturbations are recovered
accurately in the regions of the model where the ray field is single
valued. In the presence of caustics, neither the first traveltime
nor the most energetic arrival inversion allow for a full recovery
of the amplitudes although the latter improves the results. We conclude
that all the arrivals associated with multipathing through transmission
caustics must be taken into account if the true amplitude of the
perturbations is to be found. Only 22 minutes of CPU time is required
to migrate the full 2-D Marmousi data set on a Sun SPARC 20 workstation.
The amplitude loss induced by the numerical approximations on the
first traveltime and the most energetic migrated images are evaluated
quantitatively and do not exceed 8\% of the energy of the image computed
without numerical approximation. Computational evaluation shows that
extension to a 3-D ray+Born migration/inversion algorithm is realistic.},
added-at = {2012-09-01T13:08:21.000+0200},
author = {Thierry, Philippe and Operto, St\'{e}phane and Lambar\'{e}, Gilles},
biburl = {https://www.bibsonomy.org/bibtex/2620712a7c9670abf1936f0a5bdc33064/nilsma},
day = 1,
doi = {10.1190/1.1444513},
interhash = {f82dc021c9e41cd99f775eaafc97e9a5},
intrahash = {620712a7c9670abf1936f0a5bdc33064},
journal = {Geophysics},
keywords = {geophysics seismics},
month = feb,
number = 1,
pages = {162--181},
publisher = {SEG},
timestamp = {2021-02-09T13:27:42.000+0100},
title = {Fast 2-D ray + Born migration/inversion in complex media},
url = {http://dx.doi.org/10.1190/1.1444513},
volume = 64,
year = 1999
}