Title: DAM OVERALL RISK ANALYSIS IN PARTICULAR TO OVERTOPPING
1DAM OVERALL RISK ANALYSIS- IN PARTICULAR TO
OVERTOPPING
2Outlines
- Background
- Dam overtopping evaluation
- Frequency analysis
- Flood wind
- Uncertainty analysis
- IS-LHS method
- Reservoir routing wind setup and run-up
- Risk analysis
- Case study- Shihmen Dam
3Background
- Dam is defined
- as a barrier of earth, masonry, etc.
- Dam failures have claimed many lives in many
countries since the first dam was built 7,500
years ago in Mesopotamia.
4- there were more than 45,000 large dams by the end
of the last century.
- overtopping causes about 35 of all earth dam
failures
- Cheng (1993) investigated
- the average overall failure probability is around
10-3 per dam per year for damsgt 15 m in height .
5- These data are insufficient for a statistical
analysis of dam failure because
- the sample size is too small to make a
statistically reliable conclusion for
low-probability but high-consequence events
- the dam failure sample may not be representative
- the physical conditions of the dams are
time-variant.
6agricultural, industrial, and domestic water
supply hydropower generation flood control.
To allow for higher flood recurrences, engineers
constructed additional two tunnel spillways in
1985. The capacity of water release facilities
has increased from 10,000 m3/s to 12,400 m3/s.
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8Dam overtopping evaluation
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10Frequency analysis
- Chow et al., 1988
- The primary object of frequency analysis is to
relate the magnitude of extreme events to their
frequency of occurrence through the use of
probability distributions
11Flood
- In previous studies, the flood frequency analysis
has emphasized - the annual maximum (AM) model
- without much regard to the monthly maximum (MM)
model.
12- There are two types of error associated with
flood frequency analysis (quantile estimation).
- The first type arises from the assumption that
the observations follow a particular distribution
- the second type is the error inherent in
parameter estimates from small samples
13- These annual and monthly maximum three-day
average flow rates are subjected to the
Anderson-Darling goodness-of-fit test.
- Normal
- Lognormal
- Pearson type III
- LogPearson type III
- Weibull
- Gumbel
- Normal
- Lognormal
- Pearson type III
- LogPearson type III
- Weibull
- Gumbel
14- Annual maximum (AM) model
- Lognormal
- LogPearson type III
- Gumbel
- Monthly maximum (MM) model
- Lognormal
- LogPearson type III
- Gumbel
15Return periods of different frequency models
16Return periods of different frequency models
17Wind
- The distributional properties of wind speed are
then adopted from Juang (2001).
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19Uncertainty analysis
- The main purpose of uncertainty analysis is to
quantify system outputs or responses as affected
by the stochastic basic parameters in the system.
20- Analytic methods
- Fourier, Laplace, exponential ,and Mellin
transforms - Approximation methods
- FOSM, AFOSM, PEMs
- Sampling methods
- Monte Carlo sampling
- Latin hypercube sampling
- Importance sampling
21Concept of sampling methods
various times
22IS-LHS method
p
23p
p5
p4
p3
p2
p1
q1
q5
0
.
w1
w5
.
24IS-LHS method
p
q,
w
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27Sample from this area
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29Reservoir routing wind setup and runup
I-O dS/dt
Overtopping induced by flood and wind
Overtopping induced only by flood
Overtopping induced only by wind
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31Risk analysis
- The failure of an engineering system can be
defined as the loading on the system (L)
exceeding the resistance of the system (R).
- The failure of an engineering system can be
defined as the loading on the system (L)
exceeding the resistance of the system (R). - Risk can be represented as
32Case Study
Overtopping caused by flood and wind without
considering flow rate uncertainty
Overtopping caused by flood and wind considering
flow rate uncertainty
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36Conclusions
- The proposed sampling method
37Thanks for your attention