Discrete wave equation upscaling

Andreas Fichtner, Shravan M. Hanasoge

Research output: Contribution to journalArticlepeer-review


We present homogenization technique for the uniformly discretized wave equation, based on the derivation of an effective equation for the low-wavenumber component of the solution. The method produces a down-sampled, effective medium, thus making the solution of the effective equation less computationally expensive. Advantages of the method include its conceptual simplicity and ease of implementation, the applicability to any uniformly discretized wave equation in 1-D, 2-D or 3-D, and the absence of any constraints on the medium properties.We illustrate our method with a numerical example of wave propagation through a 1-D multiscale medium and demonstrate the accurate reproduction of the original wavefield for sufficiently low frequencies.

Original languageEnglish (US)
Pages (from-to)353-357
Number of pages5
JournalGeophysical Journal International
Issue number1
StatePublished - Apr 1 2017


  • Computational seismology
  • Numerical modelling
  • Theoretical seismology
  • Wave propagation

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology


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