Problem

Eudora is served by a single well that pumps at a rate of 0.016 m3/s. They anticipate th...

Eudora is served by a single well that pumps at a rate of 0.016 m3/s. They anticipate the need for a pumping rate of 0.025 m3/s. They would like to use the current well and replace the pump with a higher capacity pump. The artesian aquifer is 10 m thick with a piezometric surface 40 m above the bottom confining layer. The aquifer is a medium sand. After 300 days of pumping, the drawdown at a nonpumping well 200 m from the pumping well is 1 m. The pumping well is 1 m in diameter. Assuming a typical hydraulic conductivity for medium sand, determine the maximum allowable sustained pumping rate.

Hoko River near Sekiu, WA
Mean monthly discharge (m3/S)

Year

Jan

Feb

Mar

Apr

May

June

July

Aug

Sept

Oct

Nov

Dec

1963

12.1

15

8.55

9.09

5.78

1.28

2.59

1.11

0.81

13.3

26.1

20.3

1964

27.3

12.2

18.0

8.21

4.08

3.62

4.53

2.44

4.28

7.67

13.3

14.7

1965

27.4

27.3

5.01

5.61

6.68

1.38

0.705

0.83

0.81

7.31

16.8

19.6

1966

29.8

11.3

17.6

5.18

2.67

2.1

1.85

0.986

1.54

10.3

17.0

39.0

1967

35.6

26.8

18.5

6.51

3.43

1.46

0.623

0.413

0.937

25.7

14.2

27.8

1968

34.2

22.4

15.7

9.2

3.68

2.65

1.72

1.55

9.12

16.8

16.5

25.2

1969

17.2

18.5

12.9

12.8

3.74

2.23

1.19

0.81

6.15

7.84

9.15

15.9

1970

17.3

12.1

8.5

17.7

3.85

1.32

0.932

0.708

4.22

7.96

13.9

25.4

1971

32.7

21.0

21.1

8.13

3.43

2.83

1.83

0.932

2.22

10.7

22.7

22.0

1972

27.4

26.9

25.4

14.6

3.0

1.0

5.32

0.841

2.0

1.14

11.8

37.8

1973

28.0

9.23

11.3

4.13

5.3

4.93

1.63

0.736

0.81

13.1

29.8

31.5

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