  We derive an upscaled model describing the aggregation and deposition of
colloidal particles within a porous medium allowing for the possibility of
local clogging of the pores. At the level of the pore scale, we extend an
existing model for colloidal dynamics including the evolution of free
interfaces separating colloidal particles deposited on solid boundaries (solid
spheres) from the colloidal particles transported through the gaseous parts of
the porous medium. As a result of deposition, the solid spheres grow reducing
therefore the space available for transport in the gaseous phase.
  Upscaling procedures are applied and several classes of macroscopic models
together with effective transport tensors are obtained, incorporating
explicitly the local growth of the solid spheres. The resulting models are
solved numerically and various simulations are presented. In particular, they
are able to detect clogging regions, and therefore, can provide estimates on
the storage capacity of the porous matrix.
