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Fig. 11.2 Infiltration pattern of a DNAPL in an heterogeneous domain, through the partially
saturated, capillary fringe, and saturated zones; h c and H represent the heights of the capillary
fringe and the saturated zone, respectively (Schwille 1988 )
patterns from two experiments, in heterogeneous and homogeneous domains. The
different fingering patterns are clearly observed.
In partially saturated media, the moisture content affects NAPL migration
significantly. Abriola and Pinder ( 1985 ) suggested that the flux of a phase
p (NAPL, water, or air), J p , can be written as
;
dx þ q p
dh p
J p ¼ k p K sp
ð 11 : 12 Þ
p
where k p is the relative permeability of phase p in the porous matrix, K s h is the
saturated hydraulic conductivity for phase p in the matrix, h p is the pressure head
of phase p, q p is the density of the phase p, and p * is a scaled reference phase
density. Clearly, the actual pressure head in each phase depends on the fluid
configuration within the pores. Flux equations for each of the three phases can be
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