1. A computer-implemented method for constructing an earth model using multi-offset-multi-attribute image volumes and identified geobodies associated with a geologic volume of interest, the method comprising: obtaining an updated earth model and/or velocity model, wherein one or more rock properties of geobodies represented in the updated earth model and/or velocity model have been constrained based on assigned geobody types of identified geobodies represented in the updated earth model and/or velocity model; obtaining synthetic seismic data corresponding to the updated earth model and/or velocity model; obtaining a plurality of multi-offset-multi-attribute image volumes from the synthetic seismic data, wherein a given one of the multi-offset-multi-attribute image volumes (1) corresponds to one of an offset stack, an angle stack, or an azimuth stack of the synthetic seismic data, (2) is associated with a seismic attribute, and (3) includes geobody representations of geobodies previously unidentified in the updated earth model and/or velocity model; performing a constrained seismic inversion to determine rock properties of the identified geobodies, and to identify other geobodies with associated rock properties in order to reduce differences between observed seismic data and the synthetic data, wherein the constrained seismic inversion is stabilized by the constrained rock properties of the identified geobodies; and obtaining a three-dimensional earth model and/or velocity model based on the constrained seismic inversion.