Eliminating time dispersion from seismic wave modeling
(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.
(Less)
- author
- Koene, Erik F.M. ; Robertsson, Johan O.A. ; Broggini, Filippo and Andersson, Fredrik LU
- organization
- publishing date
- 2018-04-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Computational seismology, Numerical modelling, Wave propagation
- in
- Geophysical Journal International
- volume
- 213
- issue
- 1
- article number
- ggx563
- pages
- 12 pages
- publisher
- Oxford University Press
- 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
- 2022-05-10 21:53:27
@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>}}, author = {{Koene, Erik F.M. and Robertsson, Johan O.A. and Broggini, Filippo and Andersson, Fredrik}}, issn = {{0956-540X}}, keywords = {{Computational seismology; Numerical modelling; Wave propagation}}, language = {{eng}}, month = {{04}}, number = {{1}}, pages = {{169--180}}, publisher = {{Oxford University Press}}, series = {{Geophysical Journal International}}, title = {{Eliminating time dispersion from seismic wave modeling}}, url = {{http://dx.doi.org/10.1093/gji/ggx563}}, doi = {{10.1093/gji/ggx563}}, volume = {{213}}, year = {{2018}}, }