Dr. Shonnard et Rl. Bell, THE EFFECTS OF NONLINEAR SORPTION ON THE DIFFUSION OF VOLATILE ORGANIC-COMPOUNDS FROM AIR-DRY SOILS - A THEORETICAL-STUDY, Journal of hazardous materials, 37(3), 1994, pp. 397-414
The effects of nonlinear (Brunauer-Emmett-Teller, BET) sorption on the
rates of diffusion of volatile organic compounds (VOCs) within and fr
om uniformly contaminated air-dry soils were evaluated by numerical so
lution of the one-dimensional gas-phase diffusion equation. A dimensio
nless sorption parameter, which accounts for the importance of BET sor
ption on the diffusive transport, was identified. Numerical simulation
s demonstrated that the dimensionless gas-phase and total-soil concent
ration profiles, and the dimensionless emission rates of VOC from the
soil surface, varied in response to changes in the initial concentrati
on of the VOC in the soil, in marked contrast with the case of linear
sorption of the VOC. The sensitivity of the numerical results towards
the BET sorption parameters in the model was evaluated. A linearizatio
n step in the derivation of the continuity equation of diffusion and B
ET sorption was used to obtain an analytical solution for the soil sur
face flux of VOC to the atmosphere, by substituting a linear sorption
isotherm for the BET isotherm. The errors associated with this step we
re evaluated and the deviations were found to be < 20% for all cases t
ested in comparison to the full numerical solutions.