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The integral operator representation of propagation invariants for elastic waves in irregularly layered media |
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| Authors: | H Takenaka B L N Kennett K Koketsu |
| Institution: | National Research Institute for Earth Science and Disaster Prevention, 3-1 Tennodai, Tsukuba, Ibaraki 305, Japan Research School of Earth Sciences, Australian National University, G.P.O. Box 4, Canberra ACT 2601, Australia Earthquake Research Institute, Tokyo University, 1-1-1 Yoyoi, Bunkyo-ku, Tokyo 113, Japan |
| 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. |
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