Water Technology and Sciences - page 130

128
Weber & Apestegui,
Relation between the Parameters of the Kostiakov and Lewis-Kostiakov Infiltration Models, Cordoba, Argentina
Water
Technology and Sciences.
Vol. VII, No. 2, March-April, 2016, pp. 115-132
Table 4. Mean parameters of the Kostiakov model acocrding to land use. Range of variation in parenthesis.
Use
K
a
Streets
26.68 (15.70-40.06)
0.75 (0.51-0.95)
Parks
34.67 (19.42-50.60)
0.79 (0.71-0.89)
Housing
30.35 (16.65-43.66)
0.72 (0.55-0.82)
Table 5. Mean parameters of the Lewis-Kostiakov model acocrding to land use. Range of variation in parenthesis.
Use
K
a
f
b
(mm/h)
Streets
6.26 (1.23-12.80)
0.32 (0.05-0.81)
20.51 (8.60-34.40)
Parks
8.28 (0.47-32.45)
0.20 (-0.39-0.76)
26.48 (0.00-47.60)
Housing
17.07 (2.53-40.45)
0.44 (-0.07-0.81)
13.28 (0.00-25.90)
Figure 10. Relation between parameters K of the Kostiakov and Lewis-Kostiakov (Mecenzev) models. The solid line
corresponds to the identity function.
and smaller for unpaved streets than for other
land uses (Figure 12).
Figure 12 shows outlier values of
K
=
2.2488 and
a
= 0.8125. The following expres-
sion could be fitted by extracting this value
from the series:
a =
ln
K
(11)
with
α
= 0.261145,
β
= 0.203251 and
R
2
=
0.76586. Based on this result, the possibility of
a modification of the Lewis-Kostiakov model
was proposed, which was named LK-2p (two-
parameter Lewis-Kostiakov):
F t
( )
= f
b
t +Kt
K
(12)
where
f
b
and
K
must be fitted for each mea-
surement and
α
and
β
would be constant at
the regional level. To explore this hypothesis,
an
ad hoc
code was developed with Octave
to globally fit (that is, all of the 34 measure-
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