Based on the lattce Boltzmann method and theory of fluid flow in porous media,a numerical model is discussed for the nonlinear flow in porous media with coupling reaction.The numerical simulation results agree well with the analytical solution;and the reconstructed digital images show that there are strong coupling and anti-coupling effect between the fluid flow and the reaction,which results in the self-organization cingulum forms.All these also agree well with the experimental and theoretical prediction.