An approach to the analysis of γ-ray spectra that might arise as depth profiles from the characterization of radioactivity in boreholes is described. A borehole logging probe, ‘ABACUS’, has been designed and constructed which comprises a cerium bromide detector and a built-in multichannel analyzer. This has been tested in a bespoke, laboratory-based testbed built to replicate the borehole environment. An established, semi-empirical model has been applied data arising from the cerium bromide scintillation detector to extract the number of counts under the photopeak from each of the resulting γ-ray spectra (in this case the 662 keV line from 137 Cs) associated with each depth position, and which also enables this information to be isolated from other contributions such as background and the Compton continuum. A complementary approach has been adopted to process the asymmetric and non-Gaussian trend that concerns the photopeak count as a function of depth in the borehole testbed for a given depth profile, when the testbed is subject to the activity provided by a sealed, 137 Cs source. This comprises a modified, Moffat point-spread function. The Moffat function is a continuous probability distribution based upon the Lorentzian distribution. Its particular importance is due to its ability to reconstruct point spread functions that comprise wings that cannot be reproduced accurately by either a Gaussian or Lorentzian function. This application of the Moffat formalism to radioactive contamination assessment profiles enables an effective and accurate assessment to be made of the position of localized radioactivity in the testbed wall.