Systems, methods, and apparatuses to generate a formation model are described. In one aspect, a logging system includes a transmitter to produce an electromagnetic field in a borehole, a receiver in the borehole to detect a first field signal induced by the electromagnetic field at a first depth of investigation and a second field signal induced by the electromagnetic field at a second depth of investigation, and a modeling unit to perform a first one-dimensional inversion on the first field signal and a second one-dimensional inversion on the second field signal, build a two-dimensional model from the first one-dimensional inversion and the second one-dimensional inversion, and perform a two-dimensional inversion on the two-dimensional model to generate a two-dimensional formation model.