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First, the Kelvin-Voigt type visco-elastic model is adopted for the earth and equations of motion are deduced. By solving the equations numerically, phase retardations of earth tides are calculated where viscosity within the mantle is assumed to be uniform. As a result, it is noticed that the retardations become marked when the viscosity is over 1015 poises. Second, the retardations are calculated for real earth models where radial distribution of viscosity is converted from Q model by Anderson and Hart (1978). Obtained retardations are too small to be detected by actual observations. It is concluded that the effect of mantle viscosity to the phase retardations is negligibly small. Through the calculations, Love\u0027s numbers, diminishing factor, gravimetric factor, etc. are also calculated for several principal components of tide potential. The results are nearly equal to the values obtained from the solutions of static deformation of the earth. There is, however, slight frequency dependence of Love\u0027s numbers. Finally, relations between the visco-elastic model of the Kelvin-Voigt type and the Maxwell type are studied. From the results, it may be said that even if any kind of vibrating motion of the Kelvin-Voigt type earth is considered, the same vibration is possible for the Maxwell type earth only by taking new appropriate values of viscosity. 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Theoretical Study on Earth Tides by Assuming the Earth as a Visco-elastic Body
https://doi.org/10.15083/0000033105
https://doi.org/10.15083/000003310541e2db0b-5a3a-4c3f-a31c-3e862a808f07
名前 / ファイル | ライセンス | アクション |
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ji0542001.pdf (1.4 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-05-30 | |||||
タイトル | ||||||
タイトル | Theoretical Study on Earth Tides by Assuming the Earth as a Visco-elastic Body | |||||
言語 | en | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.15083/0000033105 | |||||
ID登録タイプ | JaLC | |||||
その他のタイトル | ||||||
その他のタイトル | 粘弾性地球に対する地球潮汐の理論的考察 | |||||
著者 |
Nagasawa, Ko
× Nagasawa, Ko |
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著者別名 | ||||||
識別子 | 129117 | |||||
識別子Scheme | WEKO | |||||
姓名 | 長沢, 工 | |||||
著者所属 | ||||||
著者所属 | 地震研究所 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Forced oscillations of the earth by tide generating potential are investigated by assuming the earth as a visco-elastic body. First, the Kelvin-Voigt type visco-elastic model is adopted for the earth and equations of motion are deduced. By solving the equations numerically, phase retardations of earth tides are calculated where viscosity within the mantle is assumed to be uniform. As a result, it is noticed that the retardations become marked when the viscosity is over 1015 poises. Second, the retardations are calculated for real earth models where radial distribution of viscosity is converted from Q model by Anderson and Hart (1978). Obtained retardations are too small to be detected by actual observations. It is concluded that the effect of mantle viscosity to the phase retardations is negligibly small. Through the calculations, Love's numbers, diminishing factor, gravimetric factor, etc. are also calculated for several principal components of tide potential. The results are nearly equal to the values obtained from the solutions of static deformation of the earth. There is, however, slight frequency dependence of Love's numbers. Finally, relations between the visco-elastic model of the Kelvin-Voigt type and the Maxwell type are studied. From the results, it may be said that even if any kind of vibrating motion of the Kelvin-Voigt type earth is considered, the same vibration is possible for the Maxwell type earth only by taking new appropriate values of viscosity. For example, 2×1O10 poises of viscosity for the Kelvin-Voigt model corresponds to about 1022 poises for the Maxwell model in the frequencies of earth tides. | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | ここでは,地殻,マントルを粘弾性体と考えた場合,地球潮汐の状態がどのようになるか,特にその場合の位相遅れがどのぐらいになるかを理論的に考察している.地球潮汐の位相遅れは,高さ方向の変位に対するもの,水平方向の変位に対するもの,およびポテンシャルの変化に対するものの3種が定義できる. | |||||
書誌情報 |
東京大學地震研究所彙報 = Bulletin of the Earthquake Research Institute, University of Tokyo 巻 54, 号 2, p. 223-252, 発行日 1979-12-25 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00408972 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00162258 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 453 | |||||
主題Scheme | NDC | |||||
出版者 | ||||||
出版者 | 東京大学地震研究所 | |||||
出版者別名 | ||||||
Earthquake Research Institute, University of Tokyo |