M. Bai et al., MODELING CONTAMINANT MIGRATION WITH LINEAR SORPTION IN STRONGLY HETEROGENEOUS MEDIA, Journal of environmental engineering, 123(11), 1997, pp. 1116-1125
A triple-porosity model is presented to evaluate transport behavior in
porous media with a structure comprising a spectrum of pore sizes, re
presented discretely as macro-, meso-, and micropores. Characterizatio
ns are completed to provide adequate semianalytical solutions for the
validation of codes representing discrete distributions of pore geomet
ry and to adequately describe extended tailing and multicomponent solu
te front breakthroughs apparent in field and laboratory data. Semianal
ytical solutions are derived for a one dimensional flow geometry by us
ing Laplace transforms under the assumption that solute transport in t
he two interactive mobile-transport regions (i.e., macro- and mesopore
s) is affected by exchange with immobile solutes in the micropore regi
on. Sensitivity analyses are conducted to identify the propensity for
extensive tailing in the breakthrough response, over single-porosity a
pproaches, and the development of multiple breakthrough fronts with re
verse diffusion. Both behaviors result from the strongly heterogeneous
nature of the transport processes, accommodated in the multiporosity
model, and are well suited to the representation of ''real'' porous an
d porous-fractured disordered media.