K. Roth et K. Hammel, TRANSPORT OF CONSERVATIVE CHEMICAL THROUGH AN UNSATURATED 2-DIMENSIONAL MILLER-SIMILAR MEDIUM WITH STEADY-STATE FLOW, Water resources research, 32(6), 1996, pp. 1653-1663
Numerical simulation of water flow in a two-dimensional, macroscopical
ly homogeneous, Miller-similar medium showed the existence of a networ
k of flow channels with two complementary states separated by a critic
al point [Roth, 1995]. The consequences of this for solute transport a
re explored by numerical simulations using particle tracking. It is fo
und that many experimentally observed features of transport through so
il are reproduced qualitatively by these simulations. Analyzing the re
sults reveals that in the corresponding effective medium the travel di
stance for the transition to convection-dispersion and the effective d
ispersivity depend on the water flux. In particular, the effective lon
gitudinal dispersivity, which is often assumed to be a material consta
nt of the porous structure, is found to vary by more than an order of
magnitude with a minimum near the critical point. The simulations furt
her demonstrate that the local structure of the velocity field and the
subscale hydrodynamic dispersion are of minor importance for the fiel
d-averaged transport process.