球对称地球模型中位错引起的表面应变的渐近解析解（英文）

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• 论文作者：唐河 ; 孙文科
• 年：2016
• 作者机构：中国科学院大学;
• 英文论文关键词：Dislocation ; Earthquake ; Strain ; Asymptotic-solution
• 会议召开时间：2016-10-15
• 会议录名称：2016中国地球科学联合学术年会论文集（三十一）——专题55：空间大地测量与地壳动力学、专题56：空间大地测量的全球变化研究、专题57：地震大地测量学
• 英文会议录名称：Proceedings of 2016 Annual Meeting of Chinese Geoscience Union(CGU)
• 语种：英文
• 分类号：P315
• 学会代码：ZGDW
• 会议名称：2016中国地球科学联合学术年会
• 会议地点：中国北京
• 主办单位：中国地球物理学会、中国地震学会、全国岩石学与地球动力学研讨会组委会、中国地质学会构造地质学与地球动力学专业委员会、中国地质学会区域地质与成矿专业委员会
• 学会名称：中国地球物理学会
• 页数：2
• 文件大小：1159k
• 原文格式：D
• 会议级别：全国

摘要

In the dislocation theory of a spherical earth model(Sun et al.1996),the numerical computation of surface deformation caused by an earthquake(also named dislocation)is quite time-consuming.As an approximation of surface deformation,Sun(2004)proposed an analytical asymptotic expression,which has no need of numerical integration of differential equations and summations of infinite Legendre series.In theory,the asymptotic solutions have mathematical simplicity and physical completeness since they reflect earth’s curvature and radial structure;and in practical applications,applying of asymptotic solutions can simplify the calculation process,especially for deformations in near-field of shallow earthquakes.However,asymptotic expressions of the surface strain have not been given,and the applicability of the asymptotic theory has not been proved yet.As a supplement and also an application of previous pioneering work(Okubo 1988;Okubo1993;Sun 2004a),in this study we will:1)apply the expressions of static displacement caused by 4independent point dislocation and give the corresponding asymptotic solutions for strain tensor on earth surface,2)validate the results with specific results from numerical integrations in spherical earth model.
In the dislocation theory of a spherical earth model(Sun et al. 1996), the numerical computation of surface deformation caused by an earthquake(also named dislocation) is quite time-consuming. As an approximation of surface deformation, Sun(2004) proposed an analytical asymptotic expression, which has no need of numerical integration of differential equations and summations of infinite Legendre series. In theory, the asymptotic solutions have mathematical simplicity and physical completeness since they reflect earth's curvature and radial structure; and in practical applications, applying of asymptotic solutions can simplify the calculation process, especially for deformations in near-field of shallow earthquakes. However, asymptotic expressions of the surface strain have not been given, and the applicability of the asymptotic theory has not been proved yet. As a supplement and also an application of previous pioneering work(Okubo 1988; Okubo 1993; Sun 2004a), in this study we will: 1) apply the expressions of static displacement caused by 4 independent point dislocation and give the corresponding asymptotic solutions for strain tensor on earth surface, 2) validate the results with specific results from numerical integrations in spherical earth model.

引文

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    Okubo S.Reciprocity theorem to compute the static deformation due to a point dislocation buried in a spherically symmetric earth[J].Geophysical Journal International,1993,115(3):921-928.
    Sun W,Okubo S,Vanicek P.Global displacement caused by dislocations in a realistic Earth model[J].Journal of Geophysical Research Atmospheres,1996,101(4):8561-8578.
    Sun W.Asymptotic theory for calculating deformations caused by dislocations buried in a spherical earth:geoid change[J].Journal of Geodesy,2003,77(7):381-387.
    Sun W.Asymptotic solution of static displacements caused by dislocations in a spherically symmetric Earth[J].Journal of Geophysical Research Atmospheres,2004,109(B5):113-135.
    Sun W,Okubo S,Fu G.Green's Function of Co-seismic Strain Changes and Investigation of Effects of Earth's Curvature and Radial Heterogeneity[J].Geophysical Journal International,2006,167(3):1273-1291.