Common-offset gathers (COG) have been usefully employed in the processing of seismic reflection data (Fulton and Darr, 1984). COG methods have also been employed to a lesser extent with the processing of seismic refraction data (Coppens, 1985), but their wider application has yet to be fully exploited. This study describes novel COG adaptations of the generalized reciprocal method (GRM) (Palmer, 1981, 2010b). Initially, the COG GRM methods (Palmer, 2012) were developed as simple and convenient methods for the quality assurance of the large volumes of refraction data, which are characteristic of statics computations for high-fold CMP reflection data processing. However, their application to a variety of sets of data has demonstrated a number of additional unanticipated benefits.