The effective diffusion in porous media, De, depends on the structure of the porous material and the phases involved. Depending on the transport of diluted species occurs in free flow, saturated or partially saturated porous media, the effective diffusivity is defined as:
Here DF,
DL, and
DG are the single-phase diffusion coefficients for the species diluted in fluid, pure liquid and gas phases respectively (SI unit: m
2/s), and
τF,
τL, and
τG are the corresponding tortuosity factors (dimensionless).
For saturated porous media θ =
εp. The fluid tortuosity for the Millington and Quirk model is