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DAM OVERALL RISK ANALYSIS IN PARTICULAR TO OVERTOPPING

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Title: DAM OVERALL RISK ANALYSIS IN PARTICULAR TO OVERTOPPING


1
DAM OVERALL RISK ANALYSIS- IN PARTICULAR TO
OVERTOPPING
  • ???
  • ????????????

2
Outlines
  • 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

3
Background
  • 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
  • ICOLD ( 1998) estimated
  • there were more than 45,000 large dams by the end
    of the last century.
  • ICOLD (1973)
  • 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.

6
agricultural, industrial, and domestic water
supply hydropower generation flood control.
  • SHIHMEN DAM

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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8
Dam overtopping evaluation
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10
Frequency 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

11
Flood
  • 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

15
Return periods of different frequency models
16
Return periods of different frequency models
17
Wind
  • The distributional properties of wind speed are
    then adopted from Juang (2001).

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19
Uncertainty 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

21
Concept of sampling methods
various times
22
IS-LHS method
p
23
p
p5
p4
p3
p2
p1
q1
q5
0
.
w1
w5
.
24
IS-LHS method
p
q,
w
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27
Sample from this area
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29
Reservoir 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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31
Risk 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

32
Case 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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36
Conclusions
  • The proposed sampling method
  • Wind effect
  • Model distribution
  • Frequency model

37
Thanks for your attention
  • Questions?
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