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