Joint modelling of gravity and magnetic fields: a new computational approach

It is shown that the gravity and magnetic fields resulting from an arbitrary three-dimensional object bounded by plane polygonal facets having uniform volume density and magnetization, can be expressed as the field due to an equivalent distribution of surface mass density and surface pole density over the bounding surface of the source body. This provides a new relation between the components of the corresponding gravity and magnetic fields and facilitates construction of a unified algorithm for the computation of gravity and magnetic anomalies separately or simultaneously. This algorithm appears to be computationally more efficient than the well-known Poisson's relation, commonly used for the transformation of one field to another.