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Based on the abovementioned equations of equilibrium and the dislocation models, we derived expressions of the potential and gravity changes caused by dislocations buried in a spherically symmetric earth model. We derived general formulas for practical applications. We discussed the special case of a point source on the earth\u0027s surface. We handled particularly the case of n=1 using principle of conservation of the mass center. In our integrations and summations, we used some techniques to truncate the infinite series and to accelerate the covergence, such as normalization, truncation of harmonic degree n, the disk factor, Euler transformation, interpolation, and asymptotic solutions. We started our calculations with a homogeneous earth model by comparing the results from those obtained from flatearth theory. We showed that they coincide very well, at least within 1\u00b0. The farfield results indicated no larger than a 10% difference within 10\u00b0. We conclude that in this case it is the same to use both the spherical and flatearth theories in the near field, while it is reasonable to use spherical theory for a global calculation. After that, we proceeded to undertake calculations with a radially heterogeneous earth model (Model 1066A). The results are, as a whole, similar to those for a homogeneous sphere. In some cases, however, the difference between the two becomes very large. For example, the locations of the nodal lines of the gravity change differ significantly between the two models. This indicates that the vertical layering can cause considerable effects on the deformation fields. As main numerical results of the study, we list the dislocation Love numbers in Appendix D and the deformations including the radial displacement, potential and gravity changes in Appendix E. We extended the theory of the point dislocation to that of a finite fault, and used it to calculate the gravity changes caused by the 1964 Alaska earthquake. The computed results are in excellent agreement with the observed gravity changes during the earthquake. 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Potential and Gravity Changes Caused by Dislocations in Spherically Symmetric Earth Models
https://doi.org/10.15083/0000032734
5cbf0767cb3a472e809df475dd84f954
名前 / ファイル  ライセンス  アクション  

ji0672001.pdf (9.8 MB)


Item type  紀要論文 / Departmental Bulletin Paper(1)  

公開日  20080530  
タイトル  
タイトル  Potential and Gravity Changes Caused by Dislocations in Spherically Symmetric Earth Models  
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  10.15083/0000032734  
ID登録タイプ  JaLC  
その他のタイトル  
その他のタイトル  球対称地球モデルの中におかれたPoint Dislocationによって生じるポテンシャルと重力変化  
著者 
Sun, Wenke
× Sun, Wenke 

著者別名  
識別子  
識別子  127154  
識別子Scheme  WEKO  
姓名  
姓名  孫, 文科  
抄録  
内容記述タイプ  Abstract  
内容記述  This thesis studied for the first time the potential and gravity changes caused by dislocations in spherically symmetric earth models. We introduced equations of equilibrium with an arbitrary body force in a SNREI model as well as boundary conditions. Integration of the fundamental equations with the body force was divided into two parts: one to solve the basic equations of equilibrium without considering the body force; the another to consider it as initial values. We defined dislocation Love numbers to describe the elastic deformation of the earth raised by source functions. We proved that only four components of the ninepart solution are independent in a general dislocation model. We discuss the shear dislocation, tensile dislocation and explosion, which can be expressed by the four independent components corresponding (in this paper) to a vertical strikeslip, a vertical dipslip, a dipslip at a 45° dipping plane, and a tensile opening at the horizontal plane. Based on the abovementioned equations of equilibrium and the dislocation models, we derived expressions of the potential and gravity changes caused by dislocations buried in a spherically symmetric earth model. We derived general formulas for practical applications. We discussed the special case of a point source on the earth's surface. We handled particularly the case of n=1 using principle of conservation of the mass center. In our integrations and summations, we used some techniques to truncate the infinite series and to accelerate the covergence, such as normalization, truncation of harmonic degree n, the disk factor, Euler transformation, interpolation, and asymptotic solutions. We started our calculations with a homogeneous earth model by comparing the results from those obtained from flatearth theory. We showed that they coincide very well, at least within 1°. The farfield results indicated no larger than a 10% difference within 10°. We conclude that in this case it is the same to use both the spherical and flatearth theories in the near field, while it is reasonable to use spherical theory for a global calculation. After that, we proceeded to undertake calculations with a radially heterogeneous earth model (Model 1066A). The results are, as a whole, similar to those for a homogeneous sphere. In some cases, however, the difference between the two becomes very large. For example, the locations of the nodal lines of the gravity change differ significantly between the two models. This indicates that the vertical layering can cause considerable effects on the deformation fields. As main numerical results of the study, we list the dislocation Love numbers in Appendix D and the deformations including the radial displacement, potential and gravity changes in Appendix E. We extended the theory of the point dislocation to that of a finite fault, and used it to calculate the gravity changes caused by the 1964 Alaska earthquake. The computed results are in excellent agreement with the observed gravity changes during the earthquake. In the far field (epicentral distance ≫ fault dimension), we also demonstrate that the gravity change is large enough to be detected by a superconducting gravimeter.  
抄録  
内容記述タイプ  Abstract  
内容記述  この研究では,球対称地球モデルの中に発生したディスロケーションによってひきおこされるポテンシャルおよび重力の変化をとりあつかった.この変化の数式化をおこなった.ディスロケーションLove数(hdn, ldn, kdn)を定義する.これを利用して,点源関数により地球に生じる弾性変形を記述する.  
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 67, 号 2, p. 89238, 発行日 19920930 

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 