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11/23/2009 10:40:45 AM
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Title
Australian Rainfall and Runoff 1998, Revision of Book VI - Estimation of Large to Extreme Floods
Date
11/28/1998
Prepared By
Rory Nathan, Sinclair Knight Merz
Floodplain - Doc Type
Educational/Technical/Reference Information
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<br />DRAFT D <br /> <br />Book VI . Estimation of Large to Extreme Floods <br /> <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br /> <br />Table 13 CRC-FORGE point rainfall estimates (AEP~1 in 2000 AEP) <br />Stoimduraljo <br />:;~1lm:: <br />'11i111 <br />:j.),"'*V"::" <br />(102 <br />~:::;i}:d>" <br />Hfi's <br />;;"~;V',' <br />',1Jn1 <br /> <br /> <br />1.130 <br />1.269 <br />1.470 <br />1.635 <br />1.814 <br /> <br />1.131 1.135 <br />1.271 1.282 <br />1.474 1.496 <br />1.642 1.674 <br />1.825 1.867 <br />182 211 <br />206 239 <br />231 271 <br />268 316 <br />299 353 <br />332 394 <br /> <br />136 <br />154 <br />173 <br />200 <br />222 <br />247 <br /> <br />of the information presented in Table 7 are presented in the <br />10~ and 11th rows. Finally, the design rainfalls <br />corresponding to AEPs of 1 in 2000 and 1 in 50000 are <br />presented in the last two rows of Table 12. A plot of the full <br />frequency curves for durations of 6, 24, and 72 hours is <br />shown in Figure 11 (curves labelled "Based on shape <br />factors"). <br /> <br />AEP design point rainfalls are the same as derived for the <br />preceding example, as shown in Table 12. <br /> <br />(ii) Extrapo/afion of regional information to of her <br />durations <br /> <br />The results presented in Table 13 only relate to the <br />standard durations for which CRC-FORGE estimates are <br />directly available. Estimates for other durations can be <br />obtained using the procedures discussed in Section 3.6.3 <br />(and as illustrated in Figure 6). <br /> <br />Estimates of the 18 and 36 hour durations may be <br />derived by fitting a line of best fit through the log- <br />transformed values of storm duration (the independent <br />variable) and rainfall depth (the dependent variable). The <br />log-transformed values of the 24, 48, and 72 hour depths <br />are shown in the 2" to 4th columns of Table 14, and the <br />slope and intercept coefficients of the corresponding lines <br />of best fit are shown in the 5th and 6th columns (these are <br />easily derived using standard functions available in <br />spreadsheet software). The estimates derived using the <br />regression equations are shown in the last two columns of <br />the table (these have been transformed back into the <br />arithmetic domain). Note that for consistency with other <br />examples these calculations are presented for rainfall <br />depths, though identical answers would be obtained if <br />applied to rainfall intensities. <br /> <br />Estimates of the shorter duration events are derived <br />using the ratios between the 1 in Y AEP 24 hour event to <br />the 1 in 100 AEP 24 hour event. These ratios, and the 1 in <br />100 AEP rainfalls for the short duration events (from Table <br />12), are shown in Table 15. The estimated rainfall depths <br />for AEPs rarer than 1 in 100 are shown in the last four rows <br /> <br />6.2,2 Upper Limit of Extrapolation is <br />1 in 2000 AEP <br /> <br />In this example, it is assumed that regional (CRC- <br />FORGE) rainfall information is available, and thus the <br />rainfall frequency curve is obtained by the following three <br />design procedures: <br />(i) derivation of the design rainfalls up to the credible <br />limit of 1 in 2000 AEP (Section 3.3.2) <br />(ii) extrapolation of the regional design information to the <br />required shorter durations (Section 3.6.3) <br />(iii) extrapolation of the 1 in 2000 AEP rainfalls to the PMP <br />(Section 3.6.2) <br />The following sub-sections illustrate each of the above <br />steps. <br /> <br />(i) Derivation of design rainfalls up to 1 in 2000 AEP <br /> <br />The CRC-FORGE procedure for this region uses the 1 <br />in 50 AEP design rainfall as the index variable, and design <br />estimates are available directly for durations of 24, 48, and <br />72 hours. Growth factors for the standard durations were <br />derived for a range of AEPs from a digitised map of the <br />catchment. The values of the index variable and the derived <br />growth factons are shown in Table 13. Note that the 1 in 50 <br /> <br />Table 14 Long duration point rainfall estimates (AEP<;:1 in 2000 AEP), <br /> <br /> <br /> 24 48 72 18 36 <br /> 1.380 1.681 1.857 1.255 1.556 <br /> 2.133 2.260 2.324 0.403 1.578 121 161 <br /> 2.186 2.313 2.379 0.407 1.626 137 182 <br /> 2.236 2.364 2.432 0.411 1.670 153 204 <br /> 2.300 2.426 2.499 0.418 1.725 177 237 <br /> 2.347 2.475 2.548 0.423 1.764 197 264 <br /> 2.392 2.521 2.595 0.427 1.802 218 293 <br />------ -- --------------------- ---------- ------ - -- ------ - -------- <br /> <br />I <br /> <br />I <br />I <br />
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