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Chapter 3 : Reservoir models - KU Leuven

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instantaneous runoff coefficient<br />

1<br />

0.9<br />

number of occurence<br />

2000<br />

1800<br />

0.8<br />

1600<br />

0.7<br />

1400<br />

0.6<br />

1200<br />

0.5<br />

1000<br />

0.4<br />

0.3<br />

instantaneous runoff coefficient<br />

number of occurrence<br />

800<br />

600<br />

0.2<br />

400<br />

0.1<br />

200<br />

0<br />

0<br />

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14<br />

rainfall intensity (mm/h)<br />

Figure 3.23 : Instantaneous runoff coefficients (mean values<br />

for every rainfall intensity) for a depression storage model<br />

with a maximum storage of 1.5 mm (markers) and the<br />

corresponding number of occurrence of the rainfall intensities (line).<br />

In order to make the runoff model continuous, the depression storage must also be<br />

emptied. This can for instance be implemented by applying evaporation.<br />

The evaporation is varying over the year (equation 1.1). The influence of this variation<br />

on the total evaporation volume is however much smaller than the large variation of the<br />

evaporation capacity itself, because of the limited availability of water in the<br />

depressions on the surface. Figure 3.24 shows the monthly evaporated volumes<br />

obtained with a continuous long term simulation of 27 years using different constant<br />

values for the evaporation capacity (full lines) and the effect (bold dashed line) using<br />

a variable evaporation capacity (thin dashed line). The variation of the real evaporation<br />

(i.e. based on the water availability) is much smaller than the evaporation capacity.<br />

For this reason a constant evaporation capacity could be used as an approximation<br />

without having too much effect on the prediction of the overflow events. In the winter<br />

period the evaporation is overestimated if a constant evaporation capacity of 0.1 mm/h<br />

is used, while in the summer this is a good approximation. The overestimation of the<br />

evaporation during the winter is about 10 mm/month. The overflow volumes in winter<br />

could be slightly underestimated in this way. However, most (and most severe)<br />

combined sewer overflows occur in the summer period. Moreover, the evaporation<br />

only influences the antecedent conditions and thus has only a second order effect on the<br />

overflow emissions.<br />

<strong>Chapter</strong> 3 : <strong>Reservoir</strong> <strong>models</strong> 3.23

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