A Solution-space Approach to the Euler Deconvolution of Map Data

The application of Euler deconvolution is a common first step in many potential field interpretation projects, however the method is well known for producing large numbers of 'sprays' of solutions which can make the interpretation more difficult. A solution-space approach is taken here, wherein the half-space is discretised into cubes and the number of possible solutions to Eulers' equation that have a particular structural index is counted. This number is a measure of the probability that a potential field source with that structural index is present at that location. The method is demonstrated on gravity data from South Africa.