- Docente: Andrea Morelli
- Credits: 6
- SSD: GEO/10
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Physics of the Earth System (cod. 8626)
Learning outcomes
Goal of the course is to provide students with abilities to fit data and solve tomographic and inverse problems, with a focus on seismic tomography and Earth structure.
Course contents
The tomographic problem. Inverse problems in Geophysics: what they are and how to deal with them. Bayes' theorem and probabilistic approach to solution of inverse problems: general problem, solution of linear and weakly non linear problems, optimization, Monte Carlo methods and non linear problems. Other approaches (Backus-Gilbert, Levenberg-Marquardt, Occam, Singular Value Decomposition, ...) and comparison. Seismic waves in the Earth: summary of theory and signal analysis. Determination of large-scale Earth structure: state of the art and open issues.
Readings/Bibliography
- Tarantola A., Inverse problem theory, SIAM, 2005.
- Stein S., and M. Wysession: An introduction to Seismology, earthquakes, and Earth structure. Blackwell Publishing, 2003.
- Aki K., and P. G. Richards: Quantitative seismology. University Science Books, 2002.
Teaching methods
Class lectures. Analysis and solution of test cases. Review of the state of the art and current problems.
Assessment methods
Oral examination.
Teaching tools
Class lectures. Suggestions for practical exercises.
Office hours
See the website of Andrea Morelli