研究者詳細 - 竹中　博士

MISC - 竹中　博士

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Computational methods for seismic wave propagation in complex subsurface structures

TAKENAKA H.

Zisin (J. Seis. Soc. Japan) 46 ( 2 ) 191 - 205 1993年

不整形地盤における波動伝播の数値計算法

地震 46 ( 2 ) 191 - 205 1993年

Aki-Larner法における計算領域の省力化

大堀道広, 竹中博士, 纐纈一起, 南忠夫

地震. 2輯 45 ( 4 ) 357 - 363 1993年

記述言語：日本語出版者・発行元：公益社団法人日本地震学会

Aki-Larner method (ALM) is a very powerful technique to calculate the seismic responses of layered media having irregular interfaces. However, it is necessary to solve complex simultaneous equations with very large full matrices so that it takes very long time and consume much memory. Recently, Ohminato et al. (1990) proposed a Galerkin method and suggested that wavenumber coupling between far separated elements in the submatrices of the full matrices are very week if the lateral irregurality is gentle. Their idea seems to be applicable to the analyses of ALM, too. Therefore, in this paper, we estimated possible reduction of the memory consumption in the ALM by neglecting most of non-diagonal elements of the submatrices. Through the 2-dimensional (2-D) analyses, we calculated responses due to vertically incident plane SH-wave and studied the effect of the neglect of non-diagonal submatrix elements on the accuracy of results. Six types of alluvial valleys with different shape were used and the error caused by the neglect was evaluated in comparison with results obtained by the conventional ALM. As a result, we can treat submatrices as band matrices with 1/4 or 1/6 width if the lateral irregularity is gentle, and this leads to reduction of the memory consumption in the Aki-Larner method for the simulation in high frequencies or 3-D problems.

DOI： 10.4294/zisin1948.45.4_357

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高速ハートレ変換は高速フーリエ変換を越えるか?（共著）

日本応用数理学会論文誌 3 ( 3 ) 245 - 255 1993年

北海道南西沖地震に伴う津波の現地調査小樽から礼文島まで

後藤章夫, 高橋浩晃, 宇津木充, 小野忍, 西田泰典, 大島弘光, 笠原稔, 竹中博士, 斉田智治

日本地震学会秋季大会講演予稿集 1993 1993年

BEMによる2次元構造媒質中での3次元弾性波動場の計算

藤原広行, 竹中博士

日本地震学会秋季大会講演予稿集 1993 1993年

数値シミュレーションによる相反定理の可視化

古村孝志, 竹中博士

日本地震学会秋季大会講演予稿集 1993 1993年

A63 雲仙普賢岳のドーム付近で発生した地震の超近地観測

後藤進, 鈴木貞臣, 竹中博士, 清水洋

日本火山学会講演予稿集 1993 63 - 63 1993年

端に不連続を持つデータのためのFourier微分法-対称法-(共著)

FURUMURA T.

物理探査 45 ( 4 ) 303 - 309 1992年

Numerical simulation and visualization of seismic wavefield

FURUMURA T.

Rep. Cent. Infor. Process. Educ., Center for Information Processing Education, Hokkaido Univ. 11 ( 11 ) 25 - 34 1992年

地震動の数値シミュレーションの波動場の可視化（共著）

北海道大学情報処理教育センター広報 ( 11 ) 25 - 34 1992年

A35 2 次元的な山脈地形が地震波形に及ぼす影響 : 等方的な P 波震源の場合

竹中博士, 建根人文礼庵

日本火山学会講演予稿集 1992 35 - 35 1992年

2-D reflectivity method and synthetic seismograms for irregularly layered structures-II. Invariant embedding approach(共著)

Geophysical Journal International 105 ( 1 ) 119 - 130 1991年4月

2-D REFLECTIVITY METHOD AND SYNTHETIC SEISMOGRAMS FOR IRREGULARLY LAYERED STRUCTURES .2. INVARIANT EMBEDDING APPROACH

K KOKETSU, BLN KENNETT, H TAKENAKA

GEOPHYSICAL JOURNAL INTERNATIONAL 105 ( 1 ) 119 - 130 1991年4月

記述言語：英語出版者・発行元：BLACKWELL SCIENCE LTD

Laterally varying interfaces cause coupling between wavenumbers so that seismograms in two-dimensionally layered media can be synthesized by means of 'supermatrices', which include the coupled contributions of all the wavenumbers. We introduce reflection and transmission 'supermatrices' in order to eliminate numerical problems arising from loss of precision for evanescent waves in the seismogram synthesis. An interface is assumed to be such that the reflected and transmitted wavefields on its two sides can be represented as purely upgoing and downgoing waves, i.e. the Rayleigh ansatz is imposed. The computational demands of this method can be kept to a minimum by exploiting propagation invariants in the coupled wavenumber domain.
The superior performance of this 'invariant embedding' approach when compared to propagator or finite difference schemes is illustrated by application to the response of sedimentary basins to excitation by an incident plane wave or a line force. The results are in good general agreement with the other methods, but show greater numberical stability and computational efficiency. In the case of a single interface the 'invariant embedding' procedure for P-SV-waves takes 45 per cent less computation time and 29 per cent less memory than the propagator method of Koketsu (1987a, b). The gains are reduced in a multilayer case because of the level of computation required to calculate the addition rules for the large reflection and transmission supermatrices.

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均質な堆積盆地における地震波動場の最も単純な計算法

竹中博士

地震学会講演予稿集 173 1991年

チリ津波の外洋伝播シミュレーション(共著)

(財)国際海洋科学技術協会季刊誌Sci.& Tech. 4 ( 1 ) 21 - 27 1991年

A69 3 次元的な山地形が地震波動に及ぼす影響

竹中博士, 纐纈一起

日本火山学会講演予稿集 1991 69 - 69 1991年

P38 マグマ溜りが地震波形に及ぼす影響

竹中博士, 古村孝志, 大島弘光

日本火山学会講演予稿集 1991 176 - 176 1991年

3次元不規則成層構造における理論地震記象の高速で安定な計算手法

竹中博士

物理探査学会第82回学術講演会講演論文集 47 - 52 1990年

Computer graphics for the study of transoceanic propagation of tsunamis(共著)

Proceedings of the 4th Pacific Congress on Marine Science and Technology 1 118 - 123 1990年

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