Flood-Peak Estimation
A flood is an unusual high stage in a river, normally the level at which the river overflows its banks and inundates the adjoining area. The design of bridges, culvert waterways and spillways for dams and estimation of the score at a hydraulic structure are some examples wherein flood-peak values are required. To estimate the magnitude of a flood peak the following alternative methods are available:
- Rational method
- Empirical method
- unit-hydrograph technique
- Flood- frequency studies
1. Rational Method
The most realistic way to use the Rational Method is to consider it as a statistical link between the frequency distribution of rainfall and runoff. As such, it provides a means of estimating the design flood of a certain return period, with the rainfall duration equal to the time of concentration
If tp ≥ tc
Where,
Qp = Peak discharge in m3/sec
PC = Critical design rainfall in cm/hr
A = Area catchment in hectares
K = Coefficient of runoff.
tD = Duration of rainfall
tC = Time of concentration
2. Empirical Formulae
(a) Dickens Formula (1865)
Where,
Qp = Flood peak discharge in m3/sec
A = Catchment area in km2.
CD = Dickens constant, 6 ≤ CD ≤ 30.
(b) Ryes formula (1884)
Where,
CH = Ryes constant
= 8.8 for the constant area within 80 km from the cost.
= 8.5 if the distance of area is 80 km to 160 km from the cost.
= 10.2 if area is Hilley and away from the cost.
(c) Inglis Formula (1930)
Where, A = Catchment area in Km2.
QP = Peak discharge in m3/sec.
Flood Frequency Studies
(i) Recurrence interval or return Period:
where, P = Probability of occurrence
(ii) Probability if non-occurrence: q = 1-P
(iii) Probability of an event occurring r times in ‘n’ successive years: = nCr x pr x qn-r
(iv) Reliability: (probability of non-occurrence /Assurance) = qn
(v) Risk = 1-qn
= 1-(1-P)n
(vi) Safety Factor =
(vii) Safety Margin = Design value of the hydrological parameter – Estimated value of the hydrological parameter
Gumbel’s Method
Gumbel defined a flood as the largest of the 365 daily flows and the annual series of flood flows constitute a series of largest values of flows.
Based on the probability distribution.
Where, XT = Peak value of hydrologic data
K = Frequency factor
yT = Reduced variate
T = Recurrence interval in year
yn = Reduced mean = 0.577
Sn = Reduced standard deviation.
Sn = 1.2825 for N → ∞
Confidence Limit
For a confidence probability c, the confidence interval of the variate xT is bounded by value x1 and x2 given by
Where, f(c) is a function of confidence probability ‘C’.
Se = Probability error
Where, N = Sample size
B = factor
σ = Standard deviation
You can avail of BYJU’S Exam Prep Online classroom program for all AE & JE Exams:
BYJU’S Exam Prep Online Classroom Program for AE & JE Exams (12+ Structured LIVE Courses)
You can avail of BYJU’S Exam Prep Test series specially designed for all AE & JE Exams:
BYJU’S Exam Prep Test Series AE & JE Get Unlimited Access to all (160+ Mock Tests)
Thanks
Team BYJU’S Exam Prep
Download BYJU’S Exam Prep APP, for the best Exam Preparation, Free Mock tests, Live Classes.
Comments
write a comment