My focus is the inversion (i.e. estimation) of ocean subfloor
properties, as a continuous function of position, from a finite
number of acoustic measurements taken in the ocean. This problem
is closely related to seismic inversion of the properties in the
Earth interior. Both of these geophysical inverse problems are
solved by "discrete parameterization" methods, which are different
from the analytical solutions generally seen in the Math dept's
inverse problems seminar. So I'll explain what that difference
means, show an example of ocean subfloor inversion results, and
discuss the inherent limits of uncertainty and resolution that
come with those results.
Undergraduate Mathematical Sciences Seminar
Thursday, May 24, 12:30--1:50pm
Acoustic Inversion of Ocean Subfloor Properties
Andy Ganse,
Applied Physics Laboratory, University of Washington
My focus is the inversion (ie estimation) of ocean subfloor properties, as a continuous function of position, from a finite
number of acoustic measurements taken in the ocean. This problem is closely related to seismic inversion of the properties in
the Earth interior. Both of these geophysical inverse problems are solved by "discrete parameterization" methods, which are
different from the analytical solutions generally seen in the Math dept's inverse problems seminar. So I'll explain what that
difference means, show an example of ocean subfloor inversion results, and discuss the inherent limits of uncertainty and
resolution that come with those results.