Abstract: In order to predict the concentration distribution as functions of time, the mathematical models are presented for the wet impregnation of Ni or Cu species on porous silica carrier According to the different adsorption kinetics, initial concentrations of impregnating solutions, relative adsorption capacities and liquid solid ratios of impregnation, the models can be solved by different numerical or analytical methods. Effective diffusivities, mass transfer coefficients, adsorption and desorption rate constants, equili brium constants, saturated surface concentrations have been determined. This paper shows very good agreement between theoretical predicted values and experimental results.