Assignment Module 6
Assignment Module 6
Assignment Module 6
1. Consider the annual flow X, (in m3/sec)from a subcatchment to a river for 40 years
Obtain the return period equaling or exceeding 5000 m3/sec annual flow from the
subcatchment.
2. (a) What is the probability that the annual maximum discharge in the river will exceed or
(b) Obtain the probability that the annual maximum discharge in the river will equal or
exceed 3000 m3/sec at least once in the next five years for the data in problem no. 1.
• Develop a model for annual flow frequency analysis using Extreme Value Type-I
distribution
2730 m3/s corresponding to return periods of 50 years and 100 years respectively. Obtain
the annual flood peak corresponding to 200-year return period assuming that the annual
5. Consider the annual maximum 24 hr rainfall, in mm, given below for 30 years in a
subcatchment
65.2 89.8 152.5 95.3 71.7 61.9 57.5 135.6 89.1 68.5
77.2 75.2 122.4 104.2 67.5 448.7 78.1 81.6 147 83.1
70.5 50.8 72.4 90.4 191.3 120.5 90.9 97.2 100.8 106.8
Determine the frequency factor and obtain the maximum annual 24 hr rainfall value
corresponding to 10 year return period using (a) Normal distribution, (b) Gumbel’s
7. Consider the annual maximum discharge (in cumec) of a river for 40 years
208 218 261 269 258 112 279 205 186 316
177 127 189 227 247 214 242 145 196 180
304 237 372 309 100 227 169 216 206 247
232 228 217 230 221 192 219 290 270 293
Check whether the data follows a normal distribution using Chi-Square goodness of fit
8. Check whether the data given in problem no.7, follows normal distribution using
discharge for 20 years (see table below) by plotting the data on Gumbel’s probability
paper
Year 1 2 3 4 5 6 7 8 9 10
Q peak
286 309 405 163 184 45 161 65 163 43
(cum/s)
Year 11 12 13 14 15 16 17 18 19 20
Q peak
36 51 100 35 63 145 267 514 122 206
(cum/s)
10. Check whether the annual runoff of a river, given in the table below, follows normal
Year 1 2 3 4 5 6 7 8 9 10
Runoff
136 73 170 235 447 383 197 257 220 83
(cum)
Year 11 12 13 14 15 16 17 18 19 20
Runoff
195 290 243 220 98 101 199 68 86 244
(cum)
11. Obtain the IDF curves for the rainfall data (in mm) at a site, given below for 30 years.
12. Obtain the design rainfall intensity for 2 year return period with 15 minutes duration for
New Delhi.