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Inverse Problems and Modelling in Geophysics

Class at Faculty of Mathematics and Physics |
NGEO081

Syllabus

* Advanced chapters from inverse problem theory.

Solution of the inverse problem in general L_p norm. Least absolute value criterion. Linear programming, FIFO, simplex method. Minimax. Adjoint problems and their applications. Introduction to data assimilation.

* Practical applications

Seismic location. Seismic tomography. Magnetotelluric inversion. Gravimetric inversion Data assimilation based on Kalman filtering. Different approaches and techniques will be tested on real-life geophysical examples.

Annotation

Follow-on course to Inverse Problems in Physics (GEO076). Additional theoretical chapters as well as exercises in programming and numerical solving of the inverse problems common in geophysics.

Location of earthquake hypocenter, seismic tomography, inverse gravimetric problem, inverse magnetotelluric problem, etc. Comparison of various methods and approaches.