FORMULATION OF HYBRID APPROACH FOR THEORETICAL SEISMOGRAMS USING THIN LAYER ELEMENT AND AXISYMMETRIC FINITE ELEMENT

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  • 三次元薄層要素と軸対称有限要素のハイブリッド法を用いた理論地震動の計算方法
  • 3次元薄層要素と軸対称有限要素のハイブリット法を用いた理論地震動の計算方法
  • 3ジゲン ハクソウ ヨウソ ト ジク タイショウ ユウゲン ヨウソ ノ ハイブ

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Abstract

This paper presents a new method to calculate theoretical seismograms for earth structures considering the layered strata and local soil conditions surrounding an observation point. The reciprocal relationship of Green's functions is employed in the formulation, and the Green's functions are obtained in the frequency domain by combining of the three-dimensional thin layer elements developed by Waas, Kausel and Tajimi and the axisymmetric finite elements. The results in the time domain are obtained by the FFT algorithm. Therefore, the proposed method is called the thin layer finite element (TLFE) method in this paper. The accuracy of this method is examined by comparing its results with wavenumber integral solutions for a buried point source in an elastic halfspace. As a numerical example, theoretical seismograms on the idealized sedimentary basin model are calculated in order to illustrate the effect of local soil conditions surrounding the observation point.

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