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<br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br /> <br />rainfall represents around 27% of the burst total, distributed <br />over a period of time approximately equivalent to that of the <br />burst. A~hough the total rainfall depth of a design storm is <br />greater than the depth of the corresponding burst, the <br />associated initial and continuing losses are also higher. <br />Figure 14 also shows the proportion of the design rainfalls <br />that are specified as losses for both the design burst and <br />design stonn situations, as well as the resulting design <br />hydrographs. <br />It is seen that adoption of low loss rates for use with the <br />PMP design burst yields a design flood that is slightly <br />higher than the corresponding design storm hydrograph, <br />though the corresponding volume of the hydrograph is <br />approximately 5% less. The full frequency curve for this <br />design approach is shown in Figure 13 as filled triangles. <br /> <br />6.3.5 Preliminary Estimates Based on Regional <br />Information <br /> <br />A preliminary frequency curve may be derived solely <br />from regional information. For this example, the 1 in 50 <br />AEP and 100 AEP flood estimates are derived using the <br />probabilistic rational method (Book IV Section 1) and are <br />found to be 370 and 485 m'ts, respectively. The PMP <br />design flood is conservatively approximated to be the PMF, <br />which in turn is derived using the prediction equation <br />derived by Nathan et al. (1994): <br /> <br />QPMP QPMF <br /> <br />129.1 A"" <br /> <br />5500 m'ts <br /> <br />Estimates of the design floods between the 1 in 100 <br />AEP and PMF events are obtained using the shape factors <br />obtained from Table 7, as described in Section 6.2.1. The <br /> <br />= <br /> <br />I <br />I <br /> <br />(a) 1 in 100 AEP event <br /> <br />I <br />I <br /> <br />40 <br /> <br />c=J Total rainfall <br />_ Rainfallloss <br /> <br />Design burst <br /> <br />20 <br /> <br /> <br />I <br />I <br />I <br />I <br /> <br />o <br />40 <br /> <br />20 <br /> <br /> <br />Design storm <br /> <br />o <br /> <br />400 <br /> <br /> <br />Design burst <br />Design storm <br /> <br />I <br /> <br />200 <br /> <br />I <br />I <br /> <br />. 0 <br /> <br />2lJ <br /> <br />60 <br /> <br />so <br /> <br />40 <br /> <br />o <br /> <br />___n.. ~",....._.._.. _. __.~_._ _n........_ _ .____ <br /> <br />Table 20 Regional estimates of intermediate values. <br /> <br />~l:~;t~$~~!l~,~6~I~r7' <br />PMF;(m <br />I~g'(~;~; <br />If@l(2U <br />I~~( <br /> <br /> <br />11.122 <br />0.361 <br />0.766 <br /> <br />1;'i~:. <br />..;irF <br /> <br />1200 <br />3100 <br /> <br />relevant calculations and results are summarised in Table <br />20, and the resulting frequency curve is shown in Figure 13 <br />(as filled circle symbols). <br /> <br />6.4 Joint Probability Analysis of Initial <br />Reservoir Level <br /> <br />The example provided here illustrates application of the <br />Laurenson (1974) method to derive a frequency curve of <br />outflows from a reservoir under conditions of variable <br />drawdown. It is assumed that the following information has <br />been derived for the reservoir: <br />(i) inflow frequency curve; <br />(ii) the relationship between inflows and outflows, for <br />different initial reservoir levels; <br />(iii) the frequency distribution of storage volume. <br /> <br />(b) PMP design flood event <br /> <br />200 <br /> <br />c=J Total rainfall <br />_ Rainfallloss <br /> <br />Design burst <br /> <br />100 <br /> <br />o <br />200 <br /> <br /> <br />Design storm <br /> <br />100 <br /> <br />o <br />4000 <br /> <br /> <br />~ <br /> <br />2000 <br /> <br /> <br />Design burst <br />Design storm <br /> <br />o <br /> <br />o <br /> <br />20 <br /> <br />40 <br /> <br />60 <br /> <br />so <br /> <br />Figure 14 Pre-burst and burst design temporal patterns and hydrographs for the 1 in 100 AEP and PMP design <br />flood events. <br />