The synthetic data is generated by a full integral equation code and it has been contaminated by 3 percent random noise. The model parameters are the unknown anomalous conductivity values of each cell of the inverted area. The inversion problem is ill posed and underdetermined, so we used the regularized conjugate gradient method. The results of QA inversions are shown in Figure 3. Vertical cross-sections of the predicted model for Model 1 after focusing QA inversion.
Dotted lines mark the discretization of the inverted area.
We obtain an image, which corresponds well to the true model. The difference between the synthetic data computed by QA approximation and full IE solution is less than the given noise level. Model 2 Model 2 represents a more complicated structure with several resistive and conductive bodies. The background model and the source are exactly the same as in Model 1. In this experiment, like in Model 1, we simulated the three components of the anomalous magnetic field by solving a full IE, and the data has been contaminated by 3 percent random noise.