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hydrology assignment
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Question 1
YearRainfall (P) Runoff (R)
(mm) (mm)1960 205 431961 227 571962 176 181963 152 431964 151 481965 186 401966 179 571967 146 141968 162 391969 131 25
100 125 150 175 200 225 2500
10
20
30
40
50
60
f(x) = 0.277687243334854 x − 9.22336223192752R² = 0.292750855426272
Regression
Railfall (P) / mm
Runo
ff (R
) / m
m
YearRainfall (P) Runoff (R)
Rainfall (P)^2 Runoff (R)^2 Runoff x Rainfall(mm) (mm)
1960 205.00 43.00 42,025.00 1,849.00 8,815.001961 227.00 57.00 51,529.00 3,249.00 12,939.001962 176.00 18.00 30,976.00 324.00 3,168.001963 152.00 43.00 23,104.00 1,849.00 6,536.001964 151.00 48.00 22,801.00 2,304.00 7,248.001965 186.00 40.00 34,596.00 1,600.00 7,440.001966 179.00 57.00 32,041.00 3,249.00 10,203.001967 146.00 14.00 21,316.00 196.00 2,044.001968 162.00 39.00 26,244.00 1,521.00 6,318.001969 131.00 25.00 17,161.00 625.00 3,275.00
1,715.00 384.00 301,793.00 16,766.00 67,986.00
0.2777
Intercept(a) = (ΣY - b(ΣX)) / N-9.2234
1 Regression coefficient0.2777
2 y = 0.2777 x - 9.2234
3 Estimated values for runoff using regression equationRainfall (P) Runoff (R)
(mm) (mm)20 -3.669430 -0.892440 1.884650 4.6616
Slope(b) = (NΣXY - (ΣX)(ΣY)) / (NΣX2 - (ΣX)2)
Question 2
Time (hr) 09:00 - 09:05 09:05 - 09:10 09:10 - 09:15 09:15 - 09:20 09:20 - 09:25 09:25 - 09:30
Rainfall (mm) 1 2 6 9 5 1
1 3 9 18 23 24
Time (hr) 09:00 - 09:05 09:05 - 09:10 09:10 - 09:15 09:15 - 09:20 09:20 - 09:25 09:25 - 09:30
Rainfall (mm) 1 2 6 9 5 1
12 24 72 108 60 12
Time (min) 0.00 5.00 10.00 15.00 20.00 25.00 30.00
0.00 12.00 24.00 72.00 108.00 60.00 12.00
Cummulative Rainfall (mm)
Average Rainfall Intensity (mm/hr)
Rainfall Intensity (mm/hr)
12:00:00 AM 12:00:00 AM 12:00:00 AM0
5
10
15
20
25
30Mass Rainfall Curve
Time (hr)
Cu R
ainf
all (
mm
)
9.00 - 9.05 9.05 - 9.10 9.10 - 9.15 9.15 - 9.20 9.20 - 9.25 9.25 - 9.30
0.00 5.00 10.00 15.00 20.00 25.00 30.000.00
20.00
40.00
60.00
80.00
100.00
120.00
Rainfall Intensity Curve
Time (minute)
Rain
fall
Inte
nsity
(mm
/hr)
Question 3
YearRainfall (P) Rainfall (P)
RankProbability
(mm) (mm) P= m / (N+1)1981 121 148 1 0.0323 31.01982 62 145 2 0.0645 15.51983 87 144 3 0.0968 10.31984 108 143 4 0.1290 7.81985 127 142 5 0.1613 6.21986 108 142 6 0.1935 5.21987 110 130 7 0.2258 4.41988 62 127 8 0.2581 3.91989 106 121 9 0.2903 3.41990 145 113 10 0.3226 3.11991 113 113 11 0.3548 2.81992 144 110 12 0.3871 2.61993 53 109 13 0.4194 2.41994 69 108 14 0.4516 2.21995 148 108 15 0.4839 2.11996 109 106 16 0.5161 1.91997 72 103 17 0.5484 1.81998 52 87 18 0.5806 1.71999 54 75 19 0.6129 1.62000 143 72 20 0.6452 1.62001 103 72 21 0.6774 1.52002 75 69 22 0.7097 1.42003 130 67 23 0.7419 1.32004 67 62 24 0.7742 1.32005 113 62 25 0.8065 1.22006 53 54 26 0.8387 1.22007 53 53 27 0.8710 1.12008 142 53 28 0.9032 1.12009 142 53 29 0.9355 1.12010 72 52 30 0.9677 1.0
Return Period (T= 1 / P)
Return Period 24 Hr RainfallYears mm
10 118.3420 152.8225 170.0550 256.2460 290.71
0 5 10 15 20 25 30 350
20406080
100120140160180200
f(x) = 3.44745449797326 x + 83.8683791010353R² = 0.37793712910871
24-HR Maximum Rainfall
Reccurance Interval (years)
Rain
fall
(mm
)
Question 4Rainfall Intensity (mm/hr)
YEAR T T T T T T RANK (m) R. PERIOD1 hr 6 hr 24 hr 1 hr 6 hr 24 hr T=n+1/m
1971 54.40 10.00 3.50 57.30 23.50 6.80 1 31.001972 35.90 12.30 3.00 57.10 23.20 6.60 2 15.501973 24.40 21.70 3.60 56.80 22.60 6.40 3 10.331974 36.70 21.50 5.50 56.00 21.80 6.20 4 7.751975 36.00 21.00 2.80 54.50 21.70 5.90 5 6.201976 28.70 17.10 3.80 54.40 21.50 5.90 6 5.171977 34.20 12.00 6.80 50.70 21.00 5.70 7 4.431978 57.10 23.20 5.90 48.60 20.60 5.70 8 3.881979 56.00 18.30 2.60 46.60 18.60 5.50 9 3.441980 18.60 11.70 4.20 46.00 18.30 5.50 10 3.101981 30.70 9.00 5.70 41.60 17.70 5.10 11 2.821982 24.30 6.10 5.70 41.20 17.40 4.90 12 2.581983 24.40 5.90 3.90 40.80 17.10 4.80 13 2.381984 26.30 9.40 4.70 36.70 16.10 4.70 14 2.211985 40.80 13.90 4.10 36.00 15.50 4.60 15 2.071986 31.70 20.60 6.20 35.90 14.00 4.60 16 1.941987 48.60 8.00 5.10 34.20 13.90 4.40 17 1.821988 34.20 10.00 6.40 34.20 12.30 4.20 18 1.721989 57.30 6.50 6.60 31.70 12.00 4.10 19 1.631990 16.80 23.50 3.60 30.70 11.70 3.90 20 1.551991 41.60 17.70 2.80 28.70 11.40 3.80 21 1.481992 56.80 14.00 4.60 26.30 10.00 3.60 22 1.411993 46.60 22.60 3.60 24.40 10.00 3.60 23 1.351994 19.00 17.40 5.90 24.40 9.40 3.60 24 1.291995 50.70 16.10 4.90 24.30 9.00 3.50 25 1.241996 54.50 8.60 4.60 23.50 8.60 3.20 26 1.191997 23.50 18.60 4.80 20.00 8.00 3.00 27 1.151998 20.00 15.50 4.40 19.00 6.50 2.80 28 1.111999 41.20 21.80 3.20 18.60 6.10 2.80 29 1.072000 46.00 11.40 5.50 16.80 5.90 2.60 30 1.03
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.000.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00f(x) = 1.40270249077125 x + 31.4427623208875R² = 0.40725988431776
1 Hr
Return Period (min)
Inte
nsity
(mm
/hr)
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.000.00
5.00
10.00
15.00
20.00
25.00f(x) = 0.590314708009254 x + 12.4097570162537R² = 0.391477036073743
6 Hr
Return Period (min)
Rain
fall
Inte
nsity
(mm
/hr)
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.000.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00f(x) = 0.138575607163101 x + 4.0279386404814R² = 0.460995241883993
24 Hr
Return Period (min)
Rain
fall
Inte
nsity
(mm
/hr)
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.000.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00f(x) = 0.138575607163101 x + 4.0279386404814R² = 0.460995241883993
24 Hr
Return Period (min)
Rain
fall
Inte
nsity
(mm
/hr)
K 8.2x 1.6b 8.5n 0.75t (min) 360
T (year)
Time (hr)5 Yr 10 Yr 20 Yr 50 Yr
Rainfall Intensity Rainfall Intensity Rainfall Intensity Rainfall Intensity(mm/hr) (mm/hr) (mm/hr) (mm/hr)
60 4.52 13.71 41.56 180.05120 2.82 8.55 25.93 112.33180 2.12 6.42 19.45 84.27240 1.72 5.22 15.81 68.50300 1.46 4.43 13.44 58.24360 1.28 3.88 11.77 50.97
5, 10, 20, 50 and 100
0 50 100 150 200 250 300 350 4000.00
100.00
200.00
300.00
400.00
500.00
600.00
Chart Title
100 YrRainfall Intensity
(mm/hr)545.82340.52255.46207.64176.55154.52
0 50 100 150 200 250 300 350 4000.00
100.00
200.00
300.00
400.00
500.00
600.00
Chart Title
