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pS : capillary pressure curve, only depending on ( ;
()
l S for example, in the
cl
case of the Brooks and Corey model [BRO 64]:
ppS
=
[6.10]
e l
with
p : air entry pressure
α: fitting parameter.
()
Figure 6.2 shows the evolution of the function
Ct g φ , with α as
cap
c
parameter for p = 30 kPa.
Figure 6.2. Evolution of the function c cap /tg ϕ (p c ),
with α as parameter , for p e = 30 kPa [DAN 02]
In a somewhat similar approach, Gray and Schrefler [GRA 01] suggested a
thermodynamic definition of the effective stress notion in porous media. Their
macroscopic approach also takes into account the microscopic boundary conditions,
in particular the liquid-solid interfaces. Two cases were studied: in the first one, the
wetting phase forms menisci at the points of contact of the solid phase; in the second
case, the wetting phase is present as a film enveloping the solid.
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