Confidence Limit for the Existence of a Solution to the One-Dimensional Magnetotelluric Inverse Problem

Abstract

The necessary and sufficient conditions for the existence of a solution to the one-dimensional magnetotelluric inverse problem are extended to error data. The confidence criterion is defined and used for testing the existence of a one-dimensional solution when data errors are considered. Synthetic data sets and two very popular real data sets are tested using this new confidence criterion.