A 2.5-D time-domain elastodynamic equation for a general anisotropic medium

Hiroshi Takenaka, Brian L N Kennett

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In order to provide a quantitative analysis of real seismic records from complex regions we need to be able to calculate the wavefields in three dimensions. However, full 3-D modelling of seismic-wave propagation is still computationally intensive. An economical approach to the modelling of seismic-wave propagation which includes many important aspects of the propagation process is to examine the 3-D response of a model where the material parameters vary in two dimensions. Such a configuration, in which a 3-D wavefield is calculated for a 2-D medium, is called the '2.5-D problem'. Recently, Takenaka & Kennett (1996) proposed a 2.5-D time-domain elastodynamic equation for seismic wavefields in models with a 2-D variation in structure but obliquely incident plane waves in the absence of source. This approach is useful even for non-plane waves. In the presence of source a new 2.5-D elastodynamic equation for general anisotropic media can be derived in the time domain based on the Radon transform over slowness in the direction with constant medium properties. The approach can also be formulated in terms of velocity-stress, a representation which is well suited to the use of numerical techniques for 2-D time-domain problems such as velocity-stress finite-difference or velocity-stress pseudospectral techniques.

Original languageEnglish
JournalGeophysical Journal International
Volume127
Issue number3
Publication statusPublished - 1996
Externally publishedYes

Fingerprint

elastodynamics
Anisotropic media
anisotropic medium
anisotropic media
Seismic waves
seismic waves
seismic wave
Wave propagation
wave propagation
Radon transform
Radon
radon
quantitative analysis
modeling
plane waves
propagation
configurations
Chemical analysis

Keywords

  • Anisotropy
  • Elastic-wave theory
  • Seismic modelling
  • Seismic waves
  • Synthetic seismograms

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

Cite this

A 2.5-D time-domain elastodynamic equation for a general anisotropic medium. / Takenaka, Hiroshi; Kennett, Brian L N.

In: Geophysical Journal International, Vol. 127, No. 3, 1996.

Research output: Contribution to journalArticle

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