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 β=σv/v; the overall dispersion of inert component (in porous as well as in homogeneous medium) may be calculated from the equation σ=(2Dt/τ2+(βvt)2)0.5, where D is the diffusion coefficient, t is time, τ 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.