6modeling interception and derivation of horton’s infiltration equation
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Hydrology I
Jozsef Szilagyi, Professor of HydrologyDepartment of Hydraulic and Water
Resources EngineeringBudapest Uniersity of !ec"nology and
Economics
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#ecture $%& 'odeling interception and
deriation of Horton(s infiltration e)uation
If precipitation intensities are aaila*le on an "ourly +or"ig"er resolution *asis, t"en an interception -
infiltration model can *e applied.
/ good p"ysical description of t"e interception process isnot aaila*le. /n e0ponential loss function model
yields& I12Pe0p3/4B+t56782P9:t567 ;"ere 9 and : are
less t"an 7 +may c"ange *y seasons. P is o*sered
"ourly precipitation. !"e time inde0, t5, is set to 7 if
preiously no precip "as *een recorded in t"e preious7,<, or = days, and it is incremented *y 7 ;it" eac"
ne; "our of precipitation. /nd per"aps it can *e
decremented similarly +*ot not t"e same ;ay once P
stopped.
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Deriation of Horton(s infiltration e)uation&
z
>"
ground
;ater ta*le
z
"ead
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0
y
?ma0?min
@
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time
f
f A
7
<
< C 7
f
7& W"y is it t"at t"e infiltration rate is not zero as time approac"es
infinityF
HW& Proe t"at t"e formula o*tained for f indeed satisfies +=.
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#a* $G& Pro*lem set
$7& W"at is t"e ground;ater disc"arge
to t"e ditc" per unit lengt" of itF
?silt276H ms. +/& 76J m=s67
$<& W"at is t"e ? alue of t"e cor in
mday if it drips 7 ldayF +/& .K md
Silt ;it" a
t"icness of
.7 m
< m
Lo6flo;
across sidesM
M M
7 mG m
< cm
G cm
< cm
cor