Inverse Problems in Geophysics

Inversion techniques are of fundamental importance in geophysics because they aim at reconstructing material parameter models from observed field data. Linear (e.g., magnetics, gravimetry) and nonlinear inverse problems (e.g., geoelectrics, electromagnetics) are addressed as well as regularization strategies and the influence of the eigenvalue spectrum on the solution. Resolution and error analyses, Gauss-Newton, Newton, and Quasi-Newton approaches are presented. The subject is deepened by computer exercises and programming simple problems in Matlab.