CE437 Engineering Hydraulics Rutgers Aquifers Hydraulic Conductivity Report

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CE 435 HW5 Due on 11/13/2019 Grading criterial: Each problem will be graded according to the following items: (1) Problems solving process (70%); (2) Dimensions and Units (10%); (3) Calculation errors (10%) and (4) Neatness (10%) 1. A fully penetrating well in a 33 m thick confined aquifer pumps at a constant rate of 2000 m3/day for a long time. In two observation wells located 20 m and 160 m from the well, the difference in hydraulic head is 2.0 m. If the undisturbed head is 250 m, and the head in the furthest observation well is 249 m, calculate the radius of influence of the well. 2. A 10-m-thick confined aquifer has a transmissivity of 1.30 x 10-3 m2/sec. When a 30-cm-diameter well is pumped at the rate of 30 m3/hr, the drawdown in the piezometric surface at an observation well 30 m away is 9.60 m when it is not impacted by an aquifer boundary. If an identical well is installed in the same aquifer, but located 30 m from a fully-penetrating impermeable boundary, determine the drawdown at the boundary and at the well. 3. A field test is conducted in an unconfined aquifer by pumping 1,300 ft3/hr from an 8-inch-diameter well penetrating the aquifer. The undisturbed aquifer thickness is 46 ft. The drawdowns, measured at steady state at various locations, are tabulated below along with the associated semi-log plot of h2 vs.log r. Determine the coefficient of permeability and how far away from the well you must be before the drawdown becomes less than 2.5 ft. r (ft) 0.33 40 125 350 s (ft) 6.05 4.05 3.57 3.05 4. A confined aquifer has average thickness =10 m. A well (diameter = 0.3m) is pumped at the rate of 30 m3/hr and the drawdown in the piezo-metric surface is 15 m at the well. If the drawdown 30 m from the well is 9.6 m, find the aquifer’s hydraulic conductivity (m/s), transmissivity, and the drawdown 60 m away from the well. 5. A well is pumped at Q = 300 m3/hr in a confined aquifer. The aquifer transmissivity is 25 m2/hr and the storage coefficient is 2.5x10-4. Calculate the drawdown at a distance 200 m from the well after pumping for (1) 50 hr, (2) 200 hr. 1
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Surname 1
Student’s Name
Institutional Affiliation
Course
Date Hydraulics and Hydrology Home Work

Question 1
A fully penetrating well in a 33 m thick confined aquifer pumps at a constant rate of 2000
m3/day for a long time. In two observation wells located 20 m and 160 m from the well, the
difference in hydraulic head is 2.0 m. If the undisturbed head is 250 m, and the head in the
furthest observation well is 249 m, calculate the radius of influence of the well.
b =33

S1 – S2 = 2m

Q = 2000m3/d

H = 250m

r1 = 20m

h2 = 249m

r2 = 160m
Q=

𝑘𝑏(𝑆1−𝑆2)
𝑅2
)
𝑅1

ln⁡(

2000 =

𝑘(33𝑥2)
160
)
20

ln⁡(

K = 63.01 m/day
Let radius of influence = Rw
Q=

𝑘𝑏(𝐻−ℎ2 )
𝑅𝑤
)
𝑟2

ln⁡(

2000 =

63.01𝑥33(1)
𝑅𝑤
)
160

ln⁡(

Rw = 452.4m

Question 2
A 10-...


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