Potential geomagnetic field data interpretation using the analytical signal and the two-dimensional continuous Shearlet transform.

This work presents a new method for interpreting potential geomagnetic field data. It combines the analytical signal method, which is independent of the direction of magnetization, with the two-dimensional continuous shearlet transform (CST). First, the dominant directions of the structural geological features of a given area are estimated using geological data and conventional interpretation methods such as horizontal gradient, Euler deconvolution and wavelet transform. These directions are then used to determine the shearing parameters required for the shearlet transform calculation. The two-dimensional CST is then applied to the amplitude of the analytical signal calculated from potential geomagnetic anomaly field data. Mapped maximas of the amplitude of the shearlet transform for the full range of CST scales enable identification of geological discontinuities. The proposed approach avoids reduction to the pole (RTP), which is often problematic in areas with high remanence. It also effectively attenuates the random noise associated with the analytical signal, thereby improving the mapping of magnetic anomalies. Furthermore, it facilitates structural interpretation in geologically complex environments. This process is particularly useful in mining, oil, and geothermal exploration, representing a significant advance in geomagnetic data interpretation.