Robust estimation plus pseudo-inverse method in geophysical inversion

In order to invert geophysical data with large outliner to obtain a good so lution. Which is called Geophysical Robust Estimation. If a linear equation system is ill conditioned, the inversion solution is not reliable. Therefo re, the algorithm is improved by means of incorporating pseudo-inverse meth od into geophysical robust estimation. In this paper, firstly the basic pri nciple of least square method with robust estimation (RLS) is demonstrated in detail. And then an improved algorithm for pseudo-inverse method is deri ved. Finally, two examples are shown and the method proves to be effective through the illustration of them. The results indicate that robust estimati on is able to reduce the effects of large observational errors on geophysic al data to obtain a good solution of a normal model. And the improved metho d by combining pseudo-inverse method with robust estimation not only upgrad es the precision of the inversion solution, but also can be used directly t o assess the reliability of the inversion solution.