General definition of dispersion coefficient (liquid phase)



where  

θ

water content [L3/L3]

Dw

dispersion coefficient [L2/T]

Dw

molecular diffusion coefficient in free water [L2/T]

DL

longitudinal dispersivity [L]

q

volumetric flux density [L/T]

τw

tortuosity factor in water [-]


General definition of diffusion coefficient (gas phase)

where  

av

gas content [L3/L3]

Dg

gas diffusion coefficient [L2/T]

Dg

molecular diffusion coefficient in a free gas phase [L2/T]

τg

tortuosity factor in gas phase [-]


Tortuosity models


Millington and Quirk model [Millington and Quirk, 1991]


 where  

τw

tortuosity factor in water [-]

τg

tortuosity factor in the gas phase [-]

θ

water content [L3/L3]

θs

saturated water content [L3/L3]

av

gas content [L3/L3]


Moldrup [Moldrup et al., 1997; Moldrup et al., 2000]


 where  

τw

tortuosity factor in water [-]

τg

tortuosity factor in the gas phase [-]

θ

water content [L3/L3]

θs

saturated water content [L3/L3]

av

gas content [L3/L3]