Elastic dislocations with application to fault detection

Andrea Aspri (Università di Pavia)

Seminario online

Abstract. 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-value/transmission value problem in a bounded domain for isotropic, inhomogeneous linear elasticity with Lipschitz Lamé parameters. Then 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 from displacement measurements made on the boundary of the domain.  Finally, I will give some indications on a reconstruction algorithm that we are now studying based on a shape optimization method. This is a joint work with Paola Antonietti (MOX – Politecnico di Milano), Elena Beretta (Politecnico di Milano & NYU – Abu Dhabi), Maarten de Hoop (Rice University), Anna Mazzucato (Penn State University).   

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