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An inverse problem for elastic dislocations

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RNTW04 - Synergistic workshop on Rich and Nonlinear tomography aimed at drawing together all strands of both methods and applications with new insights

In this talk we will discuss a model for elastic dislocations describing faults in the Earth’s crust. We will show how to get the well-posedness of the direct problem which consists in solving a boundary-transmission value problem in an inhomogeneous linear elastic medium with Lipschitz Lamé parameters. Mostly we will focus the attention on the uniqueness result for the non-linear inverse problem, which consists in determining the fault and the slip vector field acting on it from displacement measurements made on a portion of the boundary of the elastic medium.  Uniqueness for the inverse problem follows by means of the unique continuation results for systems of partial differential equations and under some geometrical constrains on the fault. This is a joint work with Elena Beretta (NYU – Abu Dhabi), Anna Mazzucato (Penn State University) and Maarten de Hoop (Rice University).

This talk is part of the Isaac Newton Institute Seminar Series series.

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