Eliminating time dispersion from seismic wave modeling

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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.


  • Erik F.M. Koene
  • Johan O.A. Robertsson
  • Filippo Broggini
  • Fredrik Andersson
Enheter & grupper
Externa organisationer
  • ETH Zürich

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Geofysik


Sidor (från-till)169-180
Antal sidor12
TidskriftGeophysical Journal International
Utgåva nummer1
StatusPublished - 2018 apr 1
Peer review utfördJa