### Abstract

The reflection and transmission of elastic waves in irregularly layered media can be represented in terms of a set of propagation invariants for elastic wavefields. There are a number of such invariants depending on different integral operators acting on the displacement and traction fields. By exploiting different classes of invariants, representations for reflection and transmission operators at an irregular interface can be derived which are easier to compute than previous forms. In a similar way, a simplified representation for the surface amplification factor for incident waves on a free surface can be constructed. This is particularly useful for calculating theoretical seismograms on the surface of a body.

Original language | English |
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Pages (from-to) | 299-317 |

Number of pages | 19 |

Journal | Wave Motion |

Volume | 17 |

Issue number | 4 |

DOIs | |

Publication status | Published - Aug 1993 |

Externally published | Yes |

### ASJC Scopus subject areas

- Modelling and Simulation
- Physics and Astronomy(all)
- Computational Mathematics
- Applied Mathematics

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## Cite this

*Wave Motion*,

*17*(4), 299-317. https://doi.org/10.1016/0165-2125(93)90010-D