The objectives of this investigation are (a) to find a way of making realistic assumptions as to the density distribution in the sedimentary subsurface, and, in particular, in shale sections, (b) to simplify certain subsurface models prior to gravity calculations, within allowable limits, so as to render them feasible for rigorous calculations, otherwise there would be no alternative to making relaxation computations, and (c) to develop mathematical equations for computing gravity due to certain subsurface models. A density analysis of the sedimentary subsurface was made. Since about 50 per cent of all the sedimentary rock in the world is shale, the outcome of gravity interpretation of sedimentary structures primarily depends on the correct...