S. Assouline et Y. Mualem, Soil seal formation and its effect on infiltration: Uniform versus nonuniform seal approximation, WATER RES R, 37(2), 2001, pp. 297-305
Two different approaches to the solution of the problem of flow through the
dynamic stage of seal formation as well as through soil with a fully devel
oped seal are studied. The first approach considers the disturbed seal laye
r and the undisturbed soil underneath as a continuous nonuniform soil profi
le. The second replaces the nonuniform seal by a uniform equivalent layer,
thereby generating a homogeneous two-layer flow system. The depth-dependent
properties of the nonuniform seal are expressed in terms of the exponentia
l model of Mualem and Assouline [1989]. The dynamics of seal formation are
modeled according to Assouline and Mualem [1997]. During the first rainfall
on an undisturbed soil profile, when the seal layer is formed, the applica
tion of the first or the second approach has only a minor effect on the cal
culated infiltration curves. However, there is a significant difference bet
ween the two solutions regarding the dynamic changes of the water content i
n the soil surface and, consequently, within the seal layer. During subsequ
ent rainfalls on a sealed soil profile, when the seal layer is completely d
eveloped, the differences between the two ways of accounting For the seal l
ayer become evident, and their effects on the infiltration curve are much m
ore significant. Representing the seal as an equivalent uniform layer incre
ases the pending time and the infiltration rates at the early stage of the
process. The amplitude of these effects is increased when the rainfall rate
is higher and the seal layer is thicker. An important result is that the r
elationship between infiltration rate and cumulative infiltration is unique
in the case of a completely developed seal and when the seal is considered
as a nonuniform layer. However, this relationship is not unique during sea
l formation, independent of the approach applied to represent the seal laye
r.