A numerical model based on the convective plumes observed in the conve
cting planetary boundary layer has been developed for material dispers
ion from both elevated and ground source releases. Mechanistic formula
tion, rather than parameterization, or statistical behavior of PBL phe
nomenon, has been used as a basis. This model uses two universal const
ants, the turbulent entrainment constant, a, and decay constant, A. Th
e model results have physical significance with regard to the observed
plume behavior in a convective field. An observed case of diffusion h
as been simulated. The model results are in reasonable agreement with
the observation without introducing any adjustable parameters to impro
ve the fit.