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Chapter 3 : Reservoir models - KU Leuven

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As the overflow events are strongly variable, distributions for all overflow<br />

parameters are obtained. These distributions can be presented as a function of the<br />

mean overflow frequency (over 27 years). The mean overflow frequency is defined<br />

here as the number of days per year with an overflow event. In figure 3.37 the mean<br />

overflow volume per day with overflow is shown as well as the upper limit of the 68 %<br />

two sided confidence interval. From this figure it can be concluded that, except for<br />

very low overflow frequencies, the mean overflow volume per day with an overflow<br />

event is about 4 mm. However, there is a large scatter on the distribution. In figure<br />

3.38 the variation of the mean overflow discharges with the mean overflow frequency<br />

are shown. For higher mean overflow frequencies the mean overflow discharge will<br />

decrease. This is mainly due to the fact that the mean overflow duration also increases<br />

with increasing mean overflow frequency (figure 3.39). The variation of the maximum<br />

overflow discharge within 10 minutes with the mean overflow frequency is similar to<br />

the variation of the mean overflow discharge, but about 60 % higher (figure 3.40).<br />

This comparison as a function of the overflow frequency shows that if the frequency<br />

decreases only small and less severe overflow events will be avoided.<br />

10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

overflow volume (mm)<br />

0 5 10 15 20 25 30<br />

overflow frequency (days/year)<br />

Figure 3.37 : Mean overflow volume per day with overflow and<br />

the upper limit of the 68 % two sided confidence interval<br />

as a function of the mean overflow frequency.<br />

<strong>Chapter</strong> 3 : <strong>Reservoir</strong> <strong>models</strong> 3.43

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