GEOELECTRICAL ANOMALIES IMAGED BY POLAR AND DIPOLAR PROBABILITY TOMOGRAPHY

We develop the theory of a generalized probability tomography method to imagesource poles and dipoles of a geophysical vector or scalar field dataset. Thepurpose of the new generalized method is to improve the resolution power ofburied geophysical targets, using probability as a suitable paradigm allowingall possible equivalent solution to be included into a unique 3D tomographyimage. The new method is described by first assuming that any geophysical fielddataset can be hypothesized to be caused by a discrete number of source polesand dipoles. Then, the theoretical derivation of the source pole occurrenceprobability (SPOP) tomography, previously published in detail for singlegeophysical methods, is symbolically restated in the most general way. Finally,the theoretical derivation of the source dipole occurrence probability (SDOP)tomography is given following a formal development similar to that of the SPOPtomography. The discussion of a few examples allows us to demonstrate that thecombined application of the SPOP and SDOP tomographies can provide the bestcore-and-boundary resolution of the most probable buried sources of theanomalies detected within a datum domain.Comment: 6 pages, 3 figure