Shape and depth solutions from numerical horizontal self-potential gradients

The self-potential anomaly expression produced by most geologic structures can be represented by a continuous function in shape (shape factor), depth and angle of polarization variables with an amplitude coefficient known as the electric dipole moment. Numerical horizontal self-potential gradients obtained from self-potential data using filters of successive window lengths can be used to determine the shape and depth of buried structures. For a fixed window length, the depth is determined using a simple formula for each shape factor. The computed depths are plotted against the shape factor representing a continuous window curve. The solution for the shape and depth of the buried structure is read at the common intersection of the window curves. The method is applied to synthetic data and tested on two field examples from Turkey.