### 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 language | English |
---|---|

Journal | Geophysical Journal International |

Volume | 127 |

Issue number | 3 |

Publication status | Published - 1996 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Geochemistry and Petrology
- Geophysics

### Cite this

*Geophysical Journal International*,

*127*(3).

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

Research output: Contribution to journal › Article

*Geophysical Journal International*, vol. 127, no. 3.

}

TY - JOUR

T1 - A 2.5-D time-domain elastodynamic equation for a general anisotropic medium

AU - Takenaka, Hiroshi

AU - Kennett, Brian L N

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

KW - Anisotropy

KW - Elastic-wave theory

KW - Seismic modelling

KW - Seismic waves

KW - Synthetic seismograms

UR - http://www.scopus.com/inward/record.url?scp=3342922535&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3342922535&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:3342922535

VL - 127

JO - Geophysical Journal International

JF - Geophysical Journal International

SN - 0956-540X

IS - 3

ER -