Abstract: In this paper, we analysed the influences of convection, dispersion, nonlinear adsorption, and dissolution, according to a mathematical model describing the transport of a chemical reagent in porous media, and elucidated the characteristics of moving boundary layer in the solute transport process. Then, we chose the dispersion number as a characteristic minor parameter, solved the problem and obtained the asymptotic analytical solutions of solute concentration by singular perturbation method, and investigated the influences of various factors on the advancing of concentration front.