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This paper developed a physical model for the dynamics of a dual-magma-chamber system during volcanic eruptions. The model consists of the plumbing system where two elastically deformable magma chambers are connected in series with non-deformable conduits. Based on this model, we obtained an analytical solution that describes temporal changes in pressures at the two chambers accompanied by the eruption. The analytical solution showed that the feature of the chamber pressure changes is mainly controlled by two non-dimensional numbers \u003cinline-formula\u003e\u003calternatives\u003e\u003ctex-math\u003e$$C\u0027$$\u003c/tex-math\u003e\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\n \u003cmml:msup\u003e\n \u003cmml:mi\u003eC\u003c/mml:mi\u003e\n \u003cmml:mo\u003e′\u003c/mml:mo\u003e\n \u003c/mml:msup\u003e\n \u003c/mml:math\u003e\u003c/alternatives\u003e\u003c/inline-formula\u003e and \u003cinline-formula\u003e\u003calternatives\u003e\u003ctex-math\u003e$$\\Omega \u0027$$\u003c/tex-math\u003e\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\n \u003cmml:msup\u003e\n \u003cmml:mi\u003eΩ\u003c/mml:mi\u003e\n \u003cmml:mo\u003e′\u003c/mml:mo\u003e\n \u003c/mml:msup\u003e\n \u003c/mml:math\u003e\u003c/alternatives\u003e\u003c/inline-formula\u003e. Here, \u003cinline-formula\u003e\u003calternatives\u003e\u003ctex-math\u003e$$C\u0027$$\u003c/tex-math\u003e\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\n \u003cmml:msup\u003e\n \u003cmml:mi\u003eC\u003c/mml:mi\u003e\n \u003cmml:mo\u003e′\u003c/mml:mo\u003e\n \u003c/mml:msup\u003e\n \u003c/mml:math\u003e\u003c/alternatives\u003e\u003c/inline-formula\u003e is the ratio of the parameter controlling the magnitude of pressure change in the shallower chamber to that in the deeper chamber, and \u003cinline-formula\u003e\u003calternatives\u003e\u003ctex-math\u003e$$\\Omega \u0027$$\u003c/tex-math\u003e\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\n \u003cmml:msup\u003e\n \u003cmml:mi\u003eΩ\u003c/mml:mi\u003e\n \u003cmml:mo\u003e′\u003c/mml:mo\u003e\n \u003c/mml:msup\u003e\n \u003c/mml:math\u003e\u003c/alternatives\u003e\u003c/inline-formula\u003e is the ratio of conduit’s conductivity (inverse of resistivity to magma flow) between the shallower chamber and the surface to that between the chambers. For smaller \u003cinline-formula\u003e\u003calternatives\u003e\u003ctex-math\u003e$$C\u0027$$\u003c/tex-math\u003e\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\n \u003cmml:msup\u003e\n \u003cmml:mi\u003eC\u003c/mml:mi\u003e\n \u003cmml:mo\u003e′\u003c/mml:mo\u003e\n \u003c/mml:msup\u003e\n \u003c/mml:math\u003e\u003c/alternatives\u003e\u003c/inline-formula\u003e and \u003cinline-formula\u003e\u003calternatives\u003e\u003ctex-math\u003e$$\\Omega \u0027$$\u003c/tex-math\u003e\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\n \u003cmml:msup\u003e\n \u003cmml:mi\u003eΩ\u003c/mml:mi\u003e\n \u003cmml:mo\u003e′\u003c/mml:mo\u003e\n \u003c/mml:msup\u003e\n \u003c/mml:math\u003e\u003c/alternatives\u003e\u003c/inline-formula\u003e, the shallower chamber’s pressure is kept constant during the decrease in the pressure at the deeper chamber in the initial phase of the eruption. This corresponds to a deformation pattern commonly observed in some eruptions, in which the deflation of the deeper chamber was predominant. The estimation of \u003cinline-formula\u003e\u003calternatives\u003e\u003ctex-math\u003e$$C\u0027$$\u003c/tex-math\u003e\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\n \u003cmml:msup\u003e\n \u003cmml:mi\u003eC\u003c/mml:mi\u003e\n \u003cmml:mo\u003e′\u003c/mml:mo\u003e\n \u003c/mml:msup\u003e\n \u003c/mml:math\u003e\u003c/alternatives\u003e\u003c/inline-formula\u003e and \u003cinline-formula\u003e\u003calternatives\u003e\u003ctex-math\u003e$$\\Omega \u0027$$\u003c/tex-math\u003e\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\n \u003cmml:msup\u003e\n \u003cmml:mi\u003eΩ\u003c/mml:mi\u003e\n \u003cmml:mo\u003e′\u003c/mml:mo\u003e\n \u003c/mml:msup\u003e\n \u003c/mml:math\u003e\u003c/alternatives\u003e\u003c/inline-formula\u003e based on the parameters related to magma properties and geometries of the chambers and the conduits revealed that the smaller \u003cinline-formula\u003e\u003calternatives\u003e\u003ctex-math\u003e$$C\u0027$$\u003c/tex-math\u003e\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\n \u003cmml:msup\u003e\n \u003cmml:mi\u003eC\u003c/mml:mi\u003e\n \u003cmml:mo\u003e′\u003c/mml:mo\u003e\n \u003c/mml:msup\u003e\n \u003c/mml:math\u003e\u003c/alternatives\u003e\u003c/inline-formula\u003e and \u003cinline-formula\u003e\u003calternatives\u003e\u003ctex-math\u003e$$\\Omega \u0027$$\u003c/tex-math\u003e\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\n \u003cmml:msup\u003e\n \u003cmml:mi\u003eΩ\u003c/mml:mi\u003e\n \u003cmml:mo\u003e′\u003c/mml:mo\u003e\n \u003c/mml:msup\u003e\n \u003c/mml:math\u003e\u003c/alternatives\u003e\u003c/inline-formula\u003e conditions are satisfied under realistic magmatic and geological parameters. This indicates that the magma dynamics in the dual-chamber system generally cause the dominance of the deeper chamber’s deflation.", "subitem_description_language": "en", "subitem_description_type": "Other"}]}, "item_10001_publisher_8": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Springer Science and Business Media LLC", "subitem_publisher_language": "en"}]}, "item_10001_relation_14": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_type_id": {"subitem_relation_type_id_text": "10.1186/s40623-021-01421-4"}}]}, "item_10001_source_id_9": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1880-5981", "subitem_source_identifier_type": "EISSN"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "T. Kozono", "creatorNameLang": "ja"}, {"creatorName": "T. Kozono", "creatorNameLang": "en"}]}]}, "item_title": "The dynamics of dual-magma-chamber system during volcanic eruptions inferred from physical modeling", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "The dynamics of dual-magma-chamber system during volcanic eruptions inferred from physical modeling", "subitem_title_language": "ja"}, {"subitem_title": "The dynamics of dual-magma-chamber system during volcanic eruptions inferred from physical modeling", "subitem_title_language": "en"}]}, "item_type_id": "40001", "owner": "1", "path": ["1670839190650"], "permalink_uri": "https://nied-repo.bosai.go.jp/records/5093", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2023-04-27"}, "publish_date": "2023-04-27", "publish_status": "0", "recid": "5093", "relation": {}, "relation_version_is_last": true, "title": ["The dynamics of dual-magma-chamber system during volcanic eruptions inferred from physical modeling"], "weko_shared_id": -1}
  1. 防災科研関係論文

The dynamics of dual-magma-chamber system during volcanic eruptions inferred from physical modeling

https://nied-repo.bosai.go.jp/records/5093
https://nied-repo.bosai.go.jp/records/5093
62115fd2-9083-4a82-8a6b-214284b4e09f
Item type researchmap(1)
公開日 2023-04-27
タイトル
言語 ja
タイトル The dynamics of dual-magma-chamber system during volcanic eruptions inferred from physical modeling
タイトル
言語 en
タイトル The dynamics of dual-magma-chamber system during volcanic eruptions inferred from physical modeling
著者 T. Kozono

× T. Kozono

ja T. Kozono

en T. Kozono

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抄録
内容記述タイプ Other
内容記述 <title>Abstract</title>A magma plumbing system with dual magma chambers beneath active volcanoes is commonly observed through petrological and geophysical measurements. This paper developed a physical model for the dynamics of a dual-magma-chamber system during volcanic eruptions. The model consists of the plumbing system where two elastically deformable magma chambers are connected in series with non-deformable conduits. Based on this model, we obtained an analytical solution that describes temporal changes in pressures at the two chambers accompanied by the eruption. The analytical solution showed that the feature of the chamber pressure changes is mainly controlled by two non-dimensional numbers <inline-formula><alternatives><tex-math>$$C'$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>′</mml:mo>
</mml:msup>
</mml:math></alternatives></inline-formula> and <inline-formula><alternatives><tex-math>$$\Omega '$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>Ω</mml:mi>
<mml:mo>′</mml:mo>
</mml:msup>
</mml:math></alternatives></inline-formula>. Here, <inline-formula><alternatives><tex-math>$$C'$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>′</mml:mo>
</mml:msup>
</mml:math></alternatives></inline-formula> is the ratio of the parameter controlling the magnitude of pressure change in the shallower chamber to that in the deeper chamber, and <inline-formula><alternatives><tex-math>$$\Omega '$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>Ω</mml:mi>
<mml:mo>′</mml:mo>
</mml:msup>
</mml:math></alternatives></inline-formula> is the ratio of conduit’s conductivity (inverse of resistivity to magma flow) between the shallower chamber and the surface to that between the chambers. For smaller <inline-formula><alternatives><tex-math>$$C'$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>′</mml:mo>
</mml:msup>
</mml:math></alternatives></inline-formula> and <inline-formula><alternatives><tex-math>$$\Omega '$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>Ω</mml:mi>
<mml:mo>′</mml:mo>
</mml:msup>
</mml:math></alternatives></inline-formula>, the shallower chamber’s pressure is kept constant during the decrease in the pressure at the deeper chamber in the initial phase of the eruption. This corresponds to a deformation pattern commonly observed in some eruptions, in which the deflation of the deeper chamber was predominant. The estimation of <inline-formula><alternatives><tex-math>$$C'$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>′</mml:mo>
</mml:msup>
</mml:math></alternatives></inline-formula> and <inline-formula><alternatives><tex-math>$$\Omega '$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>Ω</mml:mi>
<mml:mo>′</mml:mo>
</mml:msup>
</mml:math></alternatives></inline-formula> based on the parameters related to magma properties and geometries of the chambers and the conduits revealed that the smaller <inline-formula><alternatives><tex-math>$$C'$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>′</mml:mo>
</mml:msup>
</mml:math></alternatives></inline-formula> and <inline-formula><alternatives><tex-math>$$\Omega '$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>Ω</mml:mi>
<mml:mo>′</mml:mo>
</mml:msup>
</mml:math></alternatives></inline-formula> conditions are satisfied under realistic magmatic and geological parameters. This indicates that the magma dynamics in the dual-chamber system generally cause the dominance of the deeper chamber’s deflation.
言語 en
書誌情報 ja : Earth, Planets and Space
en : Earth, Planets and Space

巻 73, 号 1, p. 103, 発行日 2021-05
出版者
言語 en
出版者 Springer Science and Business Media LLC
ISSN
収録物識別子タイプ EISSN
収録物識別子 1880-5981
DOI
関連識別子 10.1186/s40623-021-01421-4
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