Dispersion of components in transport processes: velocity dispersion model.
This paper presents a new model of dispersion of components in transport processes. It is suggested that the flow velocity may be specified by a Gauss function with relative dispersion of flow velocity beta=sigmav/v; the overall dispersion of inert component (in porous as well as in homogeneous medium) may be calculated from the equation sigma=(2Dt/tau2 + (betavt)2)0.5, where D is the diffusion coefficient, t is time, tau is tortuosity, and v is flow velocity. The most common range of variability of relative dispersion of flow velocity in natural soils is 8-32%. The model is well applicable to column and field experiments.
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Pivovarov