In this paper we analyse advective transport of polymers, crosslinkers and
gel, taking into account non-equilibrium gelation, gel adsorption and cross
linker precipitation. In absence of diffusion/dispersion the resulting mode
l consists of hyperbolic transport-reaction equations. These equations are
studied in several steps using mainly analytical techniques. For simple cas
es, we obtain explicit travelling wave solutions, whereas for more complica
ted cases we rely on analytical techniques to analyse the problem qualitati
vely. Finally, a numerical solution for the full system of equations is obt
ained. The results developed in this study can be used to validate numerica
l solutions obtained from commercial simulators.