Xq. Yang et al., A DISCRETE BLOB MODEL OF CONTAMINANT TRANSPORT IN GROUNDWATER WITH TRAPPED NONAQUEOUS PHASE LIQUIDS, Chemical engineering communications, 154, 1996, pp. 33-57
The present work describes a model developed for multiphase transport
in the subsurface. The system under consideration comprises three phas
es including the immobile solid phase composed of soil grains, the aqu
eous phase flowing through the bed of soil grains, and the non-aqueous
phase of liquids (NAPLs) that may consist of several mutually soluble
compounds. Numerous field data and experimental results have indicate
d that the residual nonwetting fluids of the NAPLs in groundwater syst
ems are trapped, i.e., completely surrounded by the wetting aqueous ph
ase. In the model, therefore, the NAPLs are treated as discrete blobs
with generalized local-size distribution, while the aqueous phase is a
ssumed to be a continuum. In addition, the model takes into account th
e surface area-to-volume ratio and the ratio of the aqueous contacting
area to the overall surface area of NAPL blobs. Interactions between
the two liquid phases manifest themselves in the governing equations o
f the aqueous phase as an integral over all NAPL blobs. The rate-contr
olling factors in the transport process have been analyzed. By resorti
ng to a semi-implicit finite-difference algorithm, numerical studies h
ave been carried out to examine characteristics of the system, such as
time-dependent concentration profiles, remaining quantities of the co
ntaminant, and variations of the NAPL blob size. The results of simula
tion reveal that the initial blob size of the NAPLs and hydrodynamic c
onditions profoundly affect the rates of dissolution and transport; de
sorption and dissolution occur simultaneously, but the dissolution is
completed first; and the NAPL attenuates via a moving front in the soi
l bed under convection-dispersion control. The model predictions for t
oluene dissolution in a glass bead column agree well with the availabl
e experimental data.