Deposition in porous media and clogging on the field scale

Deposition is modeled as a first order reaction on the Darcy scale for porous media which are statistically homogeneous. An elementary analytical solution is derived. A parametric study was done with a three-dimensional code which is briefly described and checked in media where the solution is known. The role of the parameters, including the artificial ones, is discussed with an illustrative example. When the Damköhler number is small, deposition causes smooth changes to the porosity field; the evolution of porosity is well described by the analytical solution. Very different results are obtained for large Damköhler numbers. The influence of the correlation of the initial porosity field is studied.