Dispersion in two-dimensional periodic porous media. Part II. Dispersion tensor

Abstract

The dispersion tensor of two-dimensional periodic porous media is investigated numerically. The theory is first briefly reviewed using the volume averaging method. Then, with the help of the hydrodynamics determined in Part I of this study, the dispersion tensor is calculated both for ordered (in-line or staggered square cylinders) and disordered (randomly distributed square cylinders) varying both the particle Péclet number (0<Pep<104), the particle Reynolds number, from the Stokes flow to the laminar–inertial regime (0<Rep<100), and the direction of the average flow with the axes of the unit cell. The influence of order and spatial periodicity is discussed. Lastly the results are compared with those for “real” porous media.