Dislocations in a layered elastic medium with applications to fault detection
Dislocations in a layered elastic medium with applications to fault detection
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DOI：
10.4171/jems/1243
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发表时间：
2020-04
影响因子：
2.6
通讯作者：
A. Aspri;E. Beretta;A. Mazzucato
中科院分区：
文献类型：
--
作者：
A. Aspri;E. Beretta;A. Mazzucato
我们考虑地球物理中的弹性位错模型。我们将地壳的一部分模拟为一个有界的、非均匀的弹性体，它有一个埋藏的断层表面，沿着断层发生滑动。在假设弹性模有界的情况下，我们证明了所得到的混合边值问题的适定性。此外，假定地壳是各向同性的层状介质，在已知分区上具有Lame系数的分段Lipschitz，并且断裂面是关于任意坐标系的图形，我们在确定断裂面和确定断裂面的滑移量的反问题中建立了唯一性。这些结果极大地扩展了作者在{Arch.定量配给。机甲。肛门(2020)，第1号，第71--111页。
We consider a model for elastic dislocations in geophysics. We model a portion of the Earth's crust as a bounded, inhomogeneous elastic body with a buried fault surface, along which slip occurs. We prove well-posedness of the resulting mixed-boundary-value-transmission problem, assuming only bounded elastic moduli. We establish uniqueness in the inverse problem of determining the fault surface and the slip from a unique measurement of the displacement on an open patch at the surface, assuming in addition that the Earth's crust is an isotropic, layered medium with Lame coefficients piecewise Lipschitz on a known partition and that the fault surface is a graph with respect to an arbitrary coordinate system. These results substantially extend those of the authors in {Arch. Ration. Mech. Anal.} {\bf 263} (2020), n. 1, 71--111.