Gravimagnetic field tensor gradiometry formulas for uniform polyhedra

Full field gradient data in gravity and magnetic surveys are becoming routinely available. Such data offer interpretational advantages over direct field measurement by de-emphasising regional trends during differential measurement, thereby highlighting the contribution of local targets (Nelson (1988); Pedersen and Rasmussen (1990); Zhang et al. (2000)). Polyhedra have provided a powerful forward modeling tool for the field anomalies of targets of uniform density or magnetization, and it is natural to extend their modeling capabilities to the computation of field gradients. This work provides closed formulas for polyhedral field gradient computation. Validation checks confirm correct derivation.