A robust descent type algorithm for geophysical inversion through adaptive regularization

A robust descent type algorithm through adaptive regularization is designed to solve a geophysical inverse problem. The scheme uses a regularized descent direction which is obtained through minimization of smoothed functional in every iterative step. The step length factor is chosen using Armijo's rule. Numerical experiment conducted to invert synthetic and field geophysical data demonstrates a high order of robustness in retrieving the model parameters.