Abstract:
In branch literature, e.g. [2], there are presented the explicitly
equations (4) and (6) for infiltration curves trough earth massif, in transitory
regime, derived in certain simplifying hypotheses. We observed that Pietraru
solution (6), for m≥0 but h=0 isn’t in concordance with classical Barenblatt
solution (5). From this reason, our research team had proposed to derive a
new solution for infiltration curves. So we obtained the distinct equation (14),
that for m≥0 and h=0 simplified exactly to classical solution (5). On purpose
to comparatively analysis of our solution (14) versus Pietraru solution (6),
using a original MATLAB computer programme, with a numerically value set
for constructive and functionally parameters of a dyke, we achieved the
graphically representation for two infiltration curve families (fig. 1), each
family having the time t, t = {1 d, 3 d, 5 d, 7 d} as parameter. We observed
that these curve families there are approximated by four parallel straight
lines, and that, in absolute value, the slope for our solution is bigger than the
slope for Pietraru solution. Then, with the same numerically value set as
above, but for only t=7 d, using computer package FEFLOW 5.1 we obtained
the velocity and humidity fields in the transversal section of dyke domain. In
the humidity field, the saturation isoline Sw=0,995≈1,0 divides the analysis
domain in two distinct parts: the upper-unsaturated and the under- saturated.
Same we can adopt the saturation isoline Sw=0,995 as the infiltration curve
for t=7 d; so any can observe that this curve is suchlike with only straight
line assigned with parameter value t=7 d from the solution (14) curve family.
In conclusion, our own mathematical model for infiltration curves in
transient regime (14) is better than Pietraru solution (6) and this model can
be used in practically applications.
