The Hawaiian hotspot is often attributed to hot material rising from depth in the mantle, but efforts to detect a thermal plume seismically have been inconclusive. To investigate pertinent thermal anomalies, we imaged with inverse scattering of SS waves the depths to seismic discontinuities below the Central Pacific, which we explain with olivine and garnet transitions in a pyrolitic mantle.
The analysis of large quantum systems is a notoriously difficult problem, steming from the fact that quantum mechanics is formulated on a Hilbert space which grows with the number of particles. In some situations, however, simple effective models posed on a fixed space arise in the limit. These are usually nonlinear.
Laura Pyrak-Nolte, Professor of Physics and GMIG faculty recognized by Society of Exploration Geophysicists, (SEG) for her Technical Presentation, "Fracture intersections and interface waves" in the top 31 papers a the 2011 SEG Annual Meeting.
These methods can be used to reveal the presence of systematic errors such as bias and discretization effects, or to validate assumptions made on the statistical model used in the analysis. The methods include bounds on the performance of randomized estimators of a large matrix, confidence intervals and bounds for the bias, resampling methods for model validation and construction of training sets of functions with controlled local regularity.
The Geo-Mathematical Imaging Group is seeking new researchers who have recently earned a Ph.D., or anticipate completing a Ph.D., in mathematics.
The Geo-Mathematical Imaging Group is seeking students interested in earning a doctoral degree in either mathematics or earth sciences. Interested individuals should contact professor Maarten V. de Hoop in October or November of the year preceding anticipated entry, and apply via the Department of Mathematics or the Department of Earth and Atmospheric Sciences at Purdue University. Express your interest in the Group's research in your application statement.
Maarten de Hoop, professor of Mathematics and Earth, Atmospheric and Planetary Sciences as well as director of GMIG travelled to Iceland and Norway to collaborate with Professor Bjorn Ursin, Einar Iversen and Alexander Kritski. In Iceland, he participated in conducting research in a geothermal field.
Science paper on transition zone structure and mantle temperatures beneath Hawaii
Science paper on core-mantle boundary imaging and temperature estimation.