Non-Fickian and non-Darcian laws in the simulation of flow and solute transport

Simulation of flow and solute transport is a key point especially in parameter identification in both micro-scale and field-scale. The Darcy's law and advection-dispersion equation (ADE) are used to describe the movement of flow and the solute transport in porous and fractured media traditionally. However, more and more researches indicate the Darcy and ADE model have problems in heterogeneous media, in fractured media even in "homogeneous" media. In this paper, alternative methods on Forch-heimer equation and mobile-immobile (MIM) model are employed both in porous and fractured media. Two groups of flow and tracer experiments in porous and fractured media were carried out, respectively. Then both the relationship between average velocity V and hydraulic gradient J and breakthrough curves (BTC) of the tracer tests were fitted by the two models. We can found that the Forch-heimer equation and MIM model do better than Darcy law and ADE both in porous and fractured media.