Earth Sciences
| ESCI6531 | Geophysical Inverse Theory | 3 ch |
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An introduction to the mathematical and computational principles of inversion techniques used to interpret geophysical data. Topics include the mathematical formulation of inverse problems, least squares fitting, handling of data errors, matrix inversion, and methods for imposing constraints and assessing non-uniqueness in inverse problem solutions. Strategies developed for linear inverse problems are expanded upon and applied to non-linear problems in the second part of the course. Principles are illustrated by applications to inverse problems taken from a variety of geophysical disciplines including seismology, signal processing, gravity, electrical resistivity, electromagnetics and other fields.
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