Lattice Boltzmann Method for Diffusion-Reaction-Transport Processes in Heterogeneous Porous Media

Based on the lattice Boltzmann method and general theory of fluids flowing in porous media, a numerical model is presented for the diffusion-reaction-transport (DRT) processes in porous media. As a test, we simulate a DRT process in a two-dimensional horizontal heterogeneous porous medium. The influence of gravitation in this case can be neglected, and the DRT process can be described by a strongly heterogeneous diagnostic test strip or a thin confined piece of soil with stochastically distributing property in horizontal directions. The results obtained for the relations between reduced fluid saturation S, concentration c₁, and concentration c₂ are shown by using the visualization computing technique. The computational efficiency and stability of the model are satisfactory.