论文标题
分层的弹性介质中的位错，并应用到故障检测
Dislocations in a layered elastic medium with applications to fault detection
论文作者
论文摘要
我们考虑了地球物理学中弹性位错的模型。我们将地壳的一部分建模为具有埋入断层表面的有界的，不均匀的弹性体，并沿着滑动发生。假设仅有界的弹性模量，我们证明了所得混合体值传输问题的适当性。我们在确定断层表面的逆问题中建立了唯一性，并从表面的开放贴片上的位移的独特测量中滑动，除了地球外壳是一种各向同性，分层的介质，带有Lamé系数的分层介质，该系数是在已知的分区上lipewise Lipschitz上的，并且对断层表面是对任意坐标系统的图形。这些结果大大扩展了{Arch中的作者的结果。配给。机械。肛门。} {\ bf 263}（2020），n。 1，71--111。
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 Lamé 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.
