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5.3 oalel 2: Non-Ilne.l! reaervolt<br />

aetetsL d.ectiqtion<br />

the non-llnear rarslnoir loodal ia givan a! follort!<br />

s - kQn<br />

€'r<br />

dt<br />

-e<br />

Error surfacefor<br />

nonl inear<br />

reservol r on catchment 311<br />

dlynabLc eqqatlon<br />

contlnulty equatlon<br />

(s.6)<br />

( 5,7)<br />

fh€ prevlous caac of tJre llnear teAelvoir ia a ep€clal v€rston of tlrls<br />

noilel ehore para&etir n - 1. Unllke the linea! malel, howev€r, the<br />

above systeD haa no analytlcal aolutLon for genenl valu€s of !I atld<br />

requllea a nutlerical tcheme. Exabplea of the use of thls Dodel have<br />

been glven by KIdd (19?6, 1978) rnd van at€n 8619 (19?g). Ih6 nodel 1s<br />

progla@od by p€rforDl,ng r Nertolr-Raphron lt€latl-on on a flnlte-a[!f,elence<br />

foraulatlon of equatlon 5.6 and 5.? ooabltt€d.<br />

Senoitivitu of npdel patvneteta<br />

grror srtface [appl,og shdred th€ Darked inler-colrelat1on tetween tr anal<br />

k whlch has b€en prevlously obselved (Klddr l9?8). Flgure ll is an<br />

exlbpJ,e of JuEt such !.ri e!to! sutfdce. A9 ln the case of t]!e<br />

l{on-line.r Reservolr *ith Ttne Lag (!ot!el 3, next 6ection), the tso<br />

parasetets were found to be appj.oxlnately equally Eensi,tlve to<br />

peltulbatlons arouhd tie optibub. Also baEed on the sale th€oletlcal<br />

consial,er.tions (see s€ct1on 5.4), it waB alectded to ailopt a tixeat<br />

valu€ of n of .6?,

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