Japan Geoscience Union Meeting 2019

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S (Solid Earth Sciences ) » S-CG Complex & General

[S-CG59] Reducing risks from earthquakes, tsunamis & volcanoes: new applications of realtime geophysical data

Thu. May 30, 2019 5:15 PM - 6:30 PM Poster Hall (International Exhibition Hall8, Makuhari Messe)

convener:Masashi Ogiso(Meteorological Research Institute, Japan Meteorological Agency), Naotaka YAMAMOTO CHIKASADA(National Research Institute for Earth Science and Disaster Resilience), Satoshi Kawamoto(Geospatial Information Authority of Japan), Mitsuyuki Hoshiba(Meteorological Research Institute)

[SCG59-P05] Derivation of the series expansion of Kajiura filter, Green's function of a tsunami

*Nobuki Kame1, Tetsuya Kusakabe1, Shingo Watada1 (1.Earthquake Research Institute, the University of Tokyo)

Keywords:Tsunami, Green's Function, Kajiura Filter

Here we explicitly show the derivation of the series expansion of Kajiura filter, Green's function of a tsunami analytically derived in Kajiura (1963). The series expansion expression is extensively used in the numerical evaluation and we think it beneficial for tsunami researchers to show the whole derivation process in detail.

Reference: T. Kusakabe, N. Kame, S. Watada, Derivation of Series Expansion of Kajiura Filter,
Green's Function of Tsunami, Zisin(2), vol. 71, 117-119, 2018, DOI: 10.4294/zisin.2017-16

Fig. 1 Plot of Kajiura filter G(r/h), the initial surface displacement due to a spatiotemporal impulsive point displacement at the bottom.
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