D. Russo et al., STOCHASTIC-ANALYSIS OF SOLUTE TRANSPORT IN PARTIALLY SATURATED HETEROGENEOUS SOIL .2. PREDICTION OF SOLUTE SPREADING AND BREAKTHROUGH, Water resources research, 30(3), 1994, pp. 781-790
The applicability of results of Lagrangian-stochastic analyses of vado
se-zone transport [Russo, 1993a, b] to realistic situations is investi
gated using results of detailed numerical simulations of transport in
a hypothetical, yet realistic heterogeneous, partially saturated soil,
obtained in the first companion paper (Russo et al., this issue) for
both quasi steady state and transient, nonmonotonic flows. For both fl
ow regimes, lower mean water saturation and longer travel time are sho
wn to increase solute spreading, while lower water saturation and smal
ler travel distance are shown to increase the skewing of mean solute b
reakthrough curves. Solute plumes associated with the latter flow regi
mes, however, exhibit less spreading in the longitudinal direction and
more spreading in the transverse direction, while the respective brea
kthrough curves are less skewed and less erratic, as compared with sol
ute spreading and breakthrough associated with the former flow regimes
. Components of the time-dependent displacement covariance tensor, X a
nd expected solute flux through a given horizontal control plane [s],
based on the Lagrangian-stochastic analyses, compared favorably with e
stimates of X and [s] obtained from the simulated transport under quas
i steady state, essentially unidirectional flows, but failed to predic
t estimates of X and [s] obtained from the simulated transport under t
ransient, nonmonotonic, multidirectional flows. The latter can be pred
icted by a particle-tracking method [Rubin, 1990] that allows for devi
ation of the solute particles from their mean path, provided that the
pertinent flow regime is quantifiable in terms of an appropriate veloc
ity covariance function.