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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