Assignment No 2
2
CE-414: Hydrology and Water Management 8 th Semester (Civil Engineering), Spring 2012 Semester Assignment No 2 March 01, 2012 Deadline: March 08, 2012 Q1. In a given year, a catchment with an area of 1750 km 2 received 1350 mm of precipitation. The average rate of flow measured in a river draining the catchment was 20 m 3 /s. (a) Calculate how much total river runoff occurred in the year (in m 3 ). (b) Calculate the runoff coefficient. What is the percentage runoff? Q2. Rain gage X was out of operation during which there was a storm. The rainfall amounts at three adjacent stations A, B, and C were 4.2, 3.7, and 4.7 in, respectively. The average annual precipitation amounts for the gages are X = 36.5, A = 42.1, B = 37.1, and C = 39.8. The delta x and delta y values respectively for each station are X (0, 0); A (3, 7); B (4, 6); and C (5, 9). Using weighted average, estimate the amount of rainfall for gage X. Q3. The average annual precipitation for the four subbasins constituting a large river basin is 73, 65, 112, and 101 cm. The areas are 930, 710, 1090 and 1680 km 2 , respectively. What is the average annual precipitation for the basin as a whole? Q4. With a Z value of 300,000 mm 6 /m 3 , what are the rainfall rates, in mm/hr, indicated by Z-P relationships with a and b values of 200 and 1.6 respectively? Q5. The precipitation gage for station Y was inoperative during a few days of a month. During the same period, the precipitation at four index stations, each located in one of four quadrants is the following: Quadrant Precipitation (mm) Distance (km) I 25 8.5 II 28 6.2 III 27 3.7 IV 30 15 Estimate the missing precipitation data at station Y Page 1 of 2
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Transcript of Assignment No 2
CE-414: Hydrology and Water Management
8th
Semester (Civil Engineering), Spring 2012 Semester
Assignment No 2
March 01, 2012
Deadline: March 08, 2012
Q1. In a given year, a catchment with an area of 1750 km2 received 1350 mm of precipitation.
The average rate of flow measured in a river draining the catchment was 20 m3/s.
(a) Calculate how much total river runoff occurred in the year (in m3).
(b) Calculate the runoff coefficient. What is the percentage runoff?
Q2. Rain gage X was out of operation during which there was a storm. The rainfall amounts at
three adjacent stations A, B, and C were 4.2, 3.7, and 4.7 in, respectively. The average
annual precipitation amounts for the gages are X = 36.5, A = 42.1, B = 37.1, and C = 39.8.
The delta x and delta y values respectively for each station are X (0, 0); A (3, 7); B (4, 6);
and C (5, 9). Using weighted average, estimate the amount of rainfall for gage X.
Q3. The average annual precipitation for the four subbasins constituting a large river basin is 73,
65, 112, and 101 cm. The areas are 930, 710, 1090 and 1680 km2, respectively. What is the
average annual precipitation for the basin as a whole?
Q4. With a Z value of 300,000 mm6/m
3, what are the rainfall rates, in mm/hr, indicated by
Z-P relationships with a and b values of 200 and 1.6 respectively?
Q5. The precipitation gage for station Y was inoperative during a few days of a month. During
the same period, the precipitation at four index stations, each located in one of four
quadrants is the following:
Quadrant Precipitation (mm) Distance (km)
I 25 8.5
II 28 6.2
III 27 3.7
IV 30 15
Estimate the missing precipitation data at station Y
Page 1 of 2
Q6. The annual precipitation at station Z and the average annual precipitation at 10 neighboring
stations are as follows:
Year Precipitation
at Z (mm)
10-Station
average (mm) Year
Precipitation at Z
(mm)
10-Station
average (mm)
1982 35 28 1990 30 26
1983 37 29 1991 31 31
1984 39 31 1992 35 36
1985 35 27 1993 38 39
1986 30 25 1994 40 44
1987 25 21 1995 28 32
1988 20 17 1996 25 30
1989 24 21 1997 21 23
Use double mass analysis to correct for any data inconsistencies at station Z.
Page 2 of 2
