  Typically, in quiescent conditions, attractive colloids at low volume
fractions form fractal gels structured into two length scales: the colloidal
and the fractal cluster scales. However when flow interfere with gelation
colloidal fractal gels may display three distinct length scales [Dag\`es, et
al., Soft Matter 18, 6645 (2022)]. Following those recent experimental
investigations, we derive two models that account for the structure and the
rheological properties of such atypical colloidal gels. The gel elasticity is
inferred from scaling arguments and the structure is translated into scattering
intensities following the global scattering functions approach proposed by
Beaucage and typically measured in small angle X-ray scattering (SAXS). In both
models, we consider that the colloids condensate into fractal clusters. In the
clusters of clusters model, the clusters form superagregates which then build
the gel network. In the interpenetrating clusters model, the clusters
interpenetrate one-another to form the gel network. Those two models are then
utilised to analyse rheo-SAXS experiments carried out on carbon black gels
formed through flow cessation. The results of the analysis vouch for the
clusters of clusters model with a densification of the structures as the gel
characteristic length scales increase.
