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  1. D300 大学院環境学研究科
  2. D300a 雑誌掲載論文
  3. 学術雑誌

A generalized equation for the resonance frequencies of a fluid-filled crack

http://hdl.handle.net/2237/26584
http://hdl.handle.net/2237/26584
76d18736-3bd1-4a2f-b56a-431f52b56c18
名前 / ファイル ライセンス アクション
ggx019.pdf ggx019.pdf (835.6 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2017-06-07
タイトル
タイトル A generalized equation for the resonance frequencies of a fluid-filled crack
言語 en
著者 Maeda, Yuta

× Maeda, Yuta

WEKO 72187

en Maeda, Yuta

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Kumagai, Hiroyuki

× Kumagai, Hiroyuki

WEKO 72188

en Kumagai, Hiroyuki

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アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
権利
言語 en
権利情報 This article has been accepted for publication in [Geophysical Journal International] ©: [2017] [The Authors] Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.
キーワード
主題Scheme Other
主題 Interface waves
キーワード
主題Scheme Other
主題 Volcano seismology
キーワード
主題Scheme Other
主題 Theoretical seismology
抄録
内容記述タイプ Abstract
内容記述 Although a model of the resonance of a rectangular fluid-filled crack (crack model) is one of the most frequently used source models of long-period seismic events at volcanoes, there has been no analytical solution for the resonance frequencies. We previously proposed an empirical expression for the resonance frequencies as a mathematical function of the crack length, aperture, and properties of the fluid and the surrounding elastic medium. However, the expression contained an empirical constant that had to be investigated numerically for each crack aspect ratio and oscillation mode, a requirement that prevented widespread use of the expression. In the present study, we examined the theoretical basis for the expression. We assumed that the ratio of the crack wall displacement to the fluid pressure near each crack edge varied as the square root of the distance from the edge. Using this assumption, we showed theoretically that the previously proposed empirical analytical expression was a good approximation (difference ≤2 per cent) to another more complete expression. This theoretical expression is a closed form of a mathematical function of the crack model parameters and oscillation mode number; there are no empirical constants to be determined numerically. The expression thus enabled us to analytically compute the resonance frequencies for arbitrary rectangular cracks, and the results were in good agreement (difference ≤5 per cent) with numerical solutions. Resonance frequencies of cracks can be very easily predicted using this expression. This predictive ability may enhance our quantitative understanding of the processes that generate long-period events at volcanoes.
言語 en
出版者
出版者 Oxford University Press
言語 en
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
DOI
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1093/gji/ggx019
ISSN
収録物識別子タイプ PISSN
収録物識別子 0956-540X
書誌情報 en : Geophysical Journal International

巻 209, 号 1, p. 192-201, 発行日 2017-04
著者版フラグ
値 publisher
URI
識別子 https://doi.org/10.1093/gji/ggx019
識別子タイプ DOI
URI
識別子 http://hdl.handle.net/2237/26584
識別子タイプ HDL
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