Inverse modeling in geophysical applications

The interpretation of the potential ¯eld data is an useful tool that allows for
both investigating the subsurface structures and providing a quantitative evalu-
ation of the geophysical process preceding and accompanying period of volcanic
unrest. Potential ¯eld inversion problem are required to combine forward mod-
els with appropriate optimization algorithms and automatically ¯nd the best
set of parameters that well matches the available observations. Indeed, investi-
gations on the mathematical equations to be inverted, have revealed that these
models are ill-posed and highly non-linear. Numerical methods for modeling
potential ¯eld observations are proposed and applied on real dataset.