Rice University Department of Mathematics Colloquium

How boundary control enables reconstruction in seismic inverse problems

4:00 pm Thursday, February 25, 2016
Maarten de Hoop (Rice)

We consider hyperbolic inverse boundary value problems appearing in seismology, using the Neumann-to-Dirichlet map as the data. The unknown parameter or coefficient is the wavespeed containing conormal singularities. We use Belishev's Boundary Control method, unique continuation and regularization, to develop procedures for generating virtual sources inside the domain on which the wavespeed is unknown, and erasing multiple scattering from the solution. These procedures modify the mentioned hyperbolic inverse boundary value problems in significant ways in as much as they enable direct reconstruction of the wavespeed. Joint research with Peter Caday, Paul Kepley, Lauri Oksanen and Vitaly Katsnelson.

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