Potential field data balancing using the Hilbert transform

Potential field images obtained in potential field data measurements are suitable tools for mineral and hydrocarbons resources explorations. These images consist of different anomalies which in many cases are contaminated with noise. The horizontal location of the boundaries of potential field anomaly sources is of interest in potential field interpretation. However, the edge of potential field sources is not clear, because of the loss of resolution of the anomaly shape with respect to the shape of their sources. Edge enhancement is a technique, applied to potential field data to produce regions of constant field amplitude that are separated by sharp boundaries, as an aid to interpretation. Various methods have been introduced for anomaly edge detection, such as the analytic signal, tilt angle, total horizontal gradient and profile curvature. The tilt angle is the ratio of the first vertical derivative to the horizontal gradient. Curvature of the geophysical data is one of the most important attributes with many applications in geophysical data processing and interpretation. The profile curvature at a point shows the change in slope in maximum gradient direction. We can compute the tilt angle and profile curvature by Eq. (1) and Eq. (2), respectively