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Academic Lectures / Courses
Heiland Lecture Series - Thursday, February 16th at 4 p.m.in CTLM/CT 102
Department / Organization: Geophysics
Fast Level-set Methods for Inversion of Potential Fields by Dr. Jianliang Qian, Michigan Center for Industrial and Applied Mathematics, Michigan State University
The equivalent source principle of the potential field indicates that more than one mass density contrast corresponds to the same anomaly; consequently, the inversion for the mass density contrast from the gravity data does not have a unique solution. Assuming that the mass density contrast is of a specified known value but is of an unknown geometrical location, under certain mathematical assumptions we may formulate a domain inverse problem to uniquely recover a geometrical domain from the observed gravity anomaly. We develop fast level-set methods to invert for such geometrical domains from gravity, gravity gradient, and magnetic data. The level-set method provides a powerful implicit parameterization for updating domain boundaries so that we can effortlessly treat connection and splitting of domains. I will first explain the methodology of the level-set based inversion of potential fields. I will further present a variety of examples using synthetic and field data to demonstrate the effectiveness of the level set method. If time allows, I will also show some results for level-set based joint-inversion of gravity and travel time data.