New advances in geophysical inversion in mineral exploration

Abstract

The geophysical inversion is an ill-posed problem. The solution of this problem requires the application of the corresponding regularization methods (Tikhonov and Arsenin, 1977). The traditional way to implement regularization in the solution of the inverse problem is based on a consideration of the class of inverse models with a smooth distribution of the model parameters. Within the framework of classical Tikhonov regularization, one can select a smooth solution by introducing the corresponding minimum norm, or ``smoothing' stabilizing functionals. This approach is widely used in geophysics and has proven to be a powerful tool for stable inversion of geophysical data.