A point dislocation in a layered, transversely isotropic and self-gravitating Earth - Part III: internal deformation
A point dislocation in a layered, transversely isotropic and self-gravitating Earth - Part III: internal deformation
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层状、横观各向同性和自引力地球中的点位错 - 第三部分：内部变形
DOI：
10.1093/gji/ggaa319
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发表时间：
2020
影响因子：
2.8
通讯作者：
Bevis M.
中科院分区：
文献类型：
--
作者：
Zhou J.;Pan E.;Bevis M.
本文导出了层状球形、横向各向同性和自引力地球中位错Love数（dln）和相应的Green函数（GFs）的解析解。这些解是基于矢量函数的球系（或矢量球谐波）和对偶变量和位置矩阵法。位移、应变、势及其导数的GFs用dln和矢量球谐波表示。发现垂直走滑位错引起的垂直位移和垂直倾滑位错引起的电位变化（n Phi）是特殊的，在震源水平为O（1/n）阶，在其他地方为O(n)阶。数值结果说明了内部场如何取决于特定类型的位错。进一步表明，地球各向异性对应变场的影响可能是显著的，在层状PREM模型中约为10%，在均匀地球模型中约为30%。
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 (n Phi) 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.