
%0 Journal Article
%A Cordell, L. 
%T Terrace-function inversion for three-dimensional modelling of potential-field data
%J Exploration Geophysics
%D 1988/06/01
%V 19
%N 2
%P 32-34
%K 
%R https://doi.org/10.1071/EG988032
%U https://www.publish.csiro.au/paper/EG988032 
%X A recursive operator based on evaluation of the sense of local curvature, named the 'terracing operator', transforms smoothly varying potential-field data into a step function, consisting of steeps and flats. The terraced function, rescaled to units of physical property, provides a first approximation for data inversion from which a satisfactory final solution is quickly derived. The method is directly applicable to gravity data and can be applied to aeromagnetic data that have been transformed to pseudo-gravity. The objectives of the method are somewhat akin to those of susceptibility mapping, but differ in that the terraced function, like a geologic map, favours uniform physical property domains with sharp domain boundaries. It suppresses both ringing at the boundaries due to Gibbs' phenomenon (an advantage) and gradational physical property variation (possibly a disadvantage). 
