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SMALL DAMS PETITS BARRAGES

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2<br />

U f Fe<br />

S<br />

1400 D<br />

Where Uf is the design wind velocity over water, and D = average water depth along the<br />

fetch.<br />

The freeboard requirement for wind-generated waves is the sum of the wave run-up (R)<br />

and wind setup (S). Freeboard is generally based on maximum probable wind conditions<br />

when the reference elevation is the normal operating level. When estimating the freeboard to<br />

be used with the probable maximum reservoir level, a lesser wind condition is used because it<br />

is improbable that maximum wind conditions will occur simultaneously with the maximum flood<br />

level (USACE, 1997).<br />

5.4.4 First Approximations for Freeboard Requirements<br />

As a first estimate, the U.S. Bureau of Reclamation (USBR, 1992) uses the empirical<br />

guidelines summarized on Table 5.3 for preliminary studies of small dams. The values shown<br />

on Table 5.3 were based on wind velocities of 160 km/hour (100 miles/hour) for estimating<br />

normal freeboard and 80 km/hour (50 miles/hour) for minimum freeboard.<br />

Table 5.4 – Freeboard Requirements for Preliminary Studies of Small Dams for rock faced<br />

slope (USBR, 1987, 1992)<br />

Longest fetch<br />

Normal Freeboard Freeboard – MFL(*)<br />

(km)<br />

(m)<br />

(m)<br />

< 1.6 1.2 0.9<br />

1.6 1.5 1.2<br />

4.0 1.8 1.5<br />

8.0 2.4 1.8<br />

16.0 3.0 2.1<br />

(*) MFL = Maximum flood level.<br />

A large number of dams have failed due to overtopping and consequently greater<br />

attention must be paid to this feature. Freeboard should not be less than 1,0 m, even for small<br />

dams, as pointed out by Lewis (2002).[4]<br />

In the French Guidelines for Small Dams, 2006, it is recommended that the minimum<br />

freeboard for fill (providing a safety margin from maximum water level, settlement and<br />

upstream cracking of the crest) depending on the parameter H V<br />

2<br />

, in which the minimum<br />

values are presented in Table 5.5. Of course, if calculations using more detailed formula give a<br />

higher value for freeboard, that higher value should be used. In such a case a less rigid wave<br />

wall (e.g. gabions) can provide protection between minimum freeboard (Table 4) and<br />

calculated freeboard.<br />

Table 5.5 – Minimum freeboard for fill dams according to parameter H V<br />

2<br />

H V<br />

2<br />

5 30 100 200<br />

Rmin (m) 0,40 0,60 0,80 0,70<br />

According to practice in Czech Republic, and considering that the breakwater at some small<br />

dams with large reservoir and long run-up of water waves can be considered.<br />

57

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