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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 />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 />I <br />I <br />I <br /> <br />Il is important to note here that the event whose AEP is <br />being analysed needs to be clearly defined in terms of a <br />magnitude (e.g. Q ;, 100 m'/s) father .than in terms of a <br />concept (e.g. "PMP") that does not directly relate to a <br />magnitude. This means that the above equation cannot be <br />directly applied to PMPs for different seasons but only to <br />rainfalls or floods of a specified magnitude occurring in <br />different seasons. <br /> <br />4.7 Preliminary Estimates of Design Floods <br /> <br />There are some design situations where it is desirable <br />to derive approximate design flood estimates by applying a <br />"quick" method. Examples of situations where preliminary <br />estimates are desirable include: <br /> <br />. flood estimates for preliminary assessment of spillway <br />adequacy of existing dams; <br /> <br />. determination of priorities for the undertaking of detailed <br />studies; <br /> <br />. estimation of concurrent floods of minor importance for <br />the analysis of incremental consequences arising from <br />dam failure; <br /> <br />. preliminary evaluation of different dam sites for planning <br />studies; and, <br /> <br />. determination of hydrologic loads in a portfoliO risk <br />analysis of a group of storages. <br />The overall requirement for these types of analyses is <br />that estimates can be derived quickly, and that given the <br />large uncertainty the estimates should be biased towards <br />conservatively high values. <br />Preliminary estimates should not be used for final <br />design purposes, nor should the resulls be relied upon for <br />making decisions about long term levels of acceptable risk. <br />Practitioners are encouraged to use any information and <br />methods that they consider appropriate, and the following <br />recommendations are provided for general guidance only. <br />Generally two types of preliminary design estimates are <br />required: <br /> <br />. Peak discharge: estimates of peak discharge are <br />directly suitable for the preliminary design of bridge <br />waterways and spillways for those storages where it can <br />be conservatively assumed that attenuation of the inflow <br />hydrograph can be ignored; <br /> <br />. Flood hydrograph: estimates of the hydrograph are <br />required where it is necessary to obtain an estimate of <br />flood volume as well as peak discharge, for example the <br />sizing of detention basins or the assessment of spillway <br />adequacy for storages which appreciably attenuate the <br />inflow hydrograph. <br /> <br />4.7.1 Preliminary Estimates of Peak Discharge <br /> <br />One possible approach to deriving a frequency curve of <br />peak discharges is to derive preliminary estimates of the 1 <br />in 50 AEP, 1 in 100 AEP design events, and the PMP <br />Design Flood. These estimates can then be used to <br />construct a frequency curve based on the shape factors <br />provided in Table 7, using the procedure described for <br />rainfalls in Section 3.6.1. <br /> <br />Preliminary estimates of the 1 in 50 AEP and 1 in 100 <br />AEP events can be derived from a variety of sources, <br />including any of the methods discussed in Book IV, Section <br />1. The probabilistic rational method is a quick way of <br />determining preli"linary design flood estimates from design <br />rail\falle, \hoijgh it is I\~ssary to ensure \hat the method' is <br />only applied to catchments up to the maximum size to <br />which the particular relations apply. Estimates of floods <br /> <br />.............. --.....-..-.. -. --';:1....- -....-...-. .---- <br /> <br />based solely on regional information are also often <br />available (e.g. Grayson et al. 1996). <br /> <br />Preliminary estimates of the PMP Design Flood can be <br />conservatively approximated by estimates of the PMF. <br />Regional prediction equations for the PMF are availabie for <br />some regions (Nathan et aI., 1994), though envelope <br />curves for world floods may also provide useful information <br />(Rodier and Roche, 1984). <br /> <br />4,7.2 Preliminary Estimates of Design <br />Hydrographs <br /> <br />Estimates of the complete design hydrograph can also <br />be obtained in a variety of ways. Such estimates generally <br />require more time and effort in application than estimates of <br />peak discharge, particularly as the estimated inflow <br />hydrographs often need to be routed through a structure to <br />assess the degree of attenuation. <br /> <br />Estimates of the volume of the hydrographs can easily <br />be determined from estimates of design rainfalls and <br />losses. The volume of the hydrograph can simply be <br />determined as the average depth of rainfall excess over the <br />catchment multiplied by the catchment are~. Alternatively, <br />prediction equations for hydrograph volume are available <br />for some regions (e.g. Nathan et aI., 1994). <br /> <br />Appropriate hydrograph shapes can be derived by <br />scaling hydrographs obtained from more detailed studies <br />on similar catchments, though prediction equations are <br />available for synthetic hydrographs (e.g. Book V Section 2; <br />Nathan et aI., 1994). Alternatively, a more time-consuming <br />approach would be to derive design rainfalls partially based <br />on the preliminary PMP estimates (Section 3.11) and use a <br />flood event model with parameters obtained from regional <br />prediction equations (Sections 4.3.5 and 4.3.6). <br /> <br />Approximate routing techniques are availabie for <br />assessing the ability of the structure to attenuate the peak <br />inflow. Some approximate routing techniques are available, <br />though some of the simpler numerical routing techniques <br />are easily computed using spreadsheet tools (e.g. Book V, <br />Section 1). <br /> <br />4.8 Estimation of the Probable Maximum <br />Flood <br /> <br />* <br /> <br />The PMF concept originates from a period when <br />structures were designed to withstand a loading of a given <br />standard, rather than a level of acceptable risk for a specific <br />situation. With the more recent shift towards risk-based <br />design the PMF has become increasingly less relevant. <br />Nevertheless it is recognised that in some situations it is <br />desirable to estimate the limiting magnitude of floods that <br />could reasonably occur (for example in certain situations <br />the PMF can be used to obviate the need for risk-based <br />estimates; ANCOLD, 1998), and accordingly it is a concept <br />that still has some relevance. <br /> <br />The 1987 edition of ARR deflned the PMF as the <br />limiting value of flood that could reasonably be expected to <br />occur. Superimposing risks of very low probabilities was not <br />considered reasonable, but it was considered prudent to <br />incorporate SOme degree of conservatism. While it is <br />possible to derive an upper limiting value of flood <br />magnitude, it is not possible to assign an AEP to this event. <br />Conservatively estimated (reasonably possible) values of <br />the faclors involved in the transformation of the PMP to the <br />PMF introduce a shift in probabilily but, because the phrase <br />"reasonably possible" is a qualitative description of <br />probability, the AEP 01 \he resulting flood defies <br />quantification. In practice, the magnitude of the PMF will be <br />greater than the magnitude of the flood derived from the <br /> <br />. <br />
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