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A point dislocation in a layered, transversely isotropic and self-gravitating Earth – Part III: internal deformation
Geophysical Journal International ( IF 2.8 ) Pub Date : 2020-06-27 , DOI: 10.1093/gji/ggaa319
J Zhou 1 , E Pan 2 , M Bevis 3
Affiliation  

In this paper, we derive analytical solutions for the dislocation Love numbers (DLNs) and the corresponding Green's functions (GFs) within a layered, spherical, transversely isotropic and self-gravitating Earth. These solutions are based on the spherical system of vector functions (or the vector spherical harmonics) and the dual variable and position matrix method. The GFs for displacements, strains, potential and its derivatives are formulated in terms of the DLNs and the vector spherical harmonics. The vertical displacement due to a vertical strike-slip dislocation and the potential change () due to a vertical dip-slip dislocation are found to be special, with an order O(1/n) on the source level and O(n) elsewhere. Numerical results are presented to illustrate how the internal fields depend on the particular type of dislocation. It is further shown that the effect of Earth anisotropy on the strain field can be significant, about 10 per cent in a layered PREM model and 30 per cent in a homogeneous earth model.

中文翻译:

分层,横观各向同性和自重的地球中的点位错–第三部分:内部变形

在本文中,我们导出了层状,球形,横向各向同性和自重地球中的位错洛夫数(DLN)和相应的格林函数(GFs)的解析解。这些解决方案基于矢量函数(或矢量球谐函数)的球面系统以及对偶变量和位置矩阵方法。用DLN和矢量球谐函数来表示位移,应变,势及其导数的GF。发现由垂直走滑错位引起的垂直位移和由垂直滑移错位引起的电势变化()是特殊的,在源级上的阶数为O(1 / n),在源级上的阶数为On)其他地方。数值结果显示了内部场如何取决于位错的特定类型。进一步表明,地球各向异性对应变场的影响可能很大,在分层PREM模型中约为10%,在均匀地球模型中约为30%。
更新日期:2020-07-20
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