A fully penetrating pumping well extracts groundwater from a confined aquifer with a pumping rate of 750 m3/day. The hydraulic conductivity of the aquifer is 10 m/day and the saturated thickness is 50 m. The drawdown of the aquifer from this pumping well is insignificant at a distance of 1000 m from the pumping well. At what distance from the pumping well is the drawdown 10 cm? Assume the hydraulic gradient is negligible in the local area.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A fully penetrating pumping well extracts groundwater from a confined aquifer with a pumping rate of 750 m3/day. The hydraulic conductivity of the aquifer is 10 m/day and the saturated thickness is 50 m. The drawdown of the aquifer from this pumping well is insignificant at a distance of 1000 m from the pumping well. At what distance from the pumping well is the drawdown 10 cm? Assume the hydraulic gradient is negligible in the local area.

Transmissivity T = 1746.76 gal/min/ft  

Hydraulic conductivity = 11.645 gal/min/ft2

Storativity = 0.809 

The drawdown on Jenny’s Well by the end of August.

=0.6902 ft.

Observation well situated is 69.7 ft away from the pumping well (which is pumping at the rate of 305 gal/min). The aquifer is confined, and the depth has been measured from well logs and is 150 ft. The data for time (t) and drawdown (s) is given below:

t (min)

s (ft)

0.072

0.003

0.105

0.006

0.155

0.012

0.222

0.02

0.322

0.026

0.472

0.03

0.688

0.034

1.005

0.037

1.472

0.041

2.238

0.047

3.238

0.052

4.738

0.062

6.738

0.072

10.072

0.087

15.905

0.107

21.905

0.116

31.905

0.129

46.905

0.149

67.905

0.171

100.91

0.203

150.91

0.239

220.91

0.276

351.9

0.33

500.9

0.36

687.9

0.39

1001.9

0.43

1481.9

0.46

2202.9

0.49

3103.9

0.51

4336.9

0.54

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