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Eliminating time dispersion from seismic wave modeling

Koene, Erik F.M.; Robertsson, Johan O.A.; Broggini, Filippo and Andersson, Fredrik LU (2018) In Geophysical Journal International 213(1). p.169-180
Abstract

We derive an expression for the error introduced by the second-order accurate temporal finitedifference (FD) operator, as present in the FD, pseudospectral and spectral element methods for seismic wave modeling applied to time-invariant media. The 'time-dispersion' error speeds up the signal as a function of frequency and time step only. Time dispersion is thus independent of the propagation path, medium or spatial modeling error.We derive two transforms to either add or remove time dispersion from synthetic seismograms after a simulation. The transforms are compared to previous related work and demonstrated on wave modeling in acoustic as well as elastic media. In addition, an application to imaging is shown. The transforms enable... (More)

We derive an expression for the error introduced by the second-order accurate temporal finitedifference (FD) operator, as present in the FD, pseudospectral and spectral element methods for seismic wave modeling applied to time-invariant media. The 'time-dispersion' error speeds up the signal as a function of frequency and time step only. Time dispersion is thus independent of the propagation path, medium or spatial modeling error.We derive two transforms to either add or remove time dispersion from synthetic seismograms after a simulation. The transforms are compared to previous related work and demonstrated on wave modeling in acoustic as well as elastic media. In addition, an application to imaging is shown. The transforms enable accurate computation of synthetic seismograms at reduced cost, benefitting modeling applications in both exploration and global seismology. The Author(s) 2017. Published by Oxford University Press. All rights reserved.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Computational seismology, Numerical modelling, Wave propagation
in
Geophysical Journal International
volume
213
issue
1
pages
12 pages
publisher
Wiley-Blackwell
external identifiers
  • scopus:85041805864
ISSN
0956-540X
DOI
10.1093/gji/ggx563
language
English
LU publication?
yes
id
8ede7c96-d18d-414a-a369-a24f40df1ce6
date added to LUP
2018-02-20 10:06:43
date last changed
2018-05-29 09:28:44
@article{8ede7c96-d18d-414a-a369-a24f40df1ce6,
  abstract     = {<p>We derive an expression for the error introduced by the second-order accurate temporal finitedifference (FD) operator, as present in the FD, pseudospectral and spectral element methods for seismic wave modeling applied to time-invariant media. The 'time-dispersion' error speeds up the signal as a function of frequency and time step only. Time dispersion is thus independent of the propagation path, medium or spatial modeling error.We derive two transforms to either add or remove time dispersion from synthetic seismograms after a simulation. The transforms are compared to previous related work and demonstrated on wave modeling in acoustic as well as elastic media. In addition, an application to imaging is shown. The transforms enable accurate computation of synthetic seismograms at reduced cost, benefitting modeling applications in both exploration and global seismology. The Author(s) 2017. Published by Oxford University Press. All rights reserved.</p>},
  articleno    = {ggx563},
  author       = {Koene, Erik F.M. and Robertsson, Johan O.A. and Broggini, Filippo and Andersson, Fredrik},
  issn         = {0956-540X},
  keyword      = {Computational seismology,Numerical modelling,Wave propagation},
  language     = {eng},
  month        = {04},
  number       = {1},
  pages        = {169--180},
  publisher    = {Wiley-Blackwell},
  series       = {Geophysical Journal International},
  title        = {Eliminating time dispersion from seismic wave modeling},
  url          = {http://dx.doi.org/10.1093/gji/ggx563},
  volume       = {213},
  year         = {2018},
}