Interpretation of magnetic anomalies using euler deconvolution and hilbert transform

The solution of the Euler deconvolution equation allows one to determine the spatial position of magnetic sources, starting from the magnetic field measurements and horizontal and vertical derivatives estimate (Thompson, 1982). Nabighian and Misac (2001) suggested the possibility to improve the algorithm efficiency by introducing the Hilbert transform of the potential field. The new approach permits to obtain more robust and stable solutions. I describe the results of the numerical implementation of the new approach on the solution of Euler deconvolution equations, by means of synthetic data and by application of the algorithm on field data. The discussion is limited to the 2D solutions of potential field, but can be extended to the 3D case on gridded data. The examples here described refer to magnetic data, but the methods can be applied to any potential providing that the laplacian is null.