# Geotechnical Engineering Questions and Answers – Well Hydraulics – Dupuits Theory

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This set of Geotechnical Engineering Multiple Choice Questions & Answers (MCQs) focuses on “Well Hydraulics – Dupuits Theory”.

1. Which of the following test is commonly adopted for determining soil permeability of soil formations?
a) Pumping-in test and Pumping-out test
b) Horizontal capillary test
c) None of the mentioned
d) All of the mentioned

Explanation: Pumping-out test is the frequently used field method, as it involves discharging water from the ground.

2. The value of specific yield SY, of an aquifer depends on ___________
a) Grain size
b) Compaction of stratum
c) Grain shape
d) All of the mentioned

Explanation: Since specific yield is the volume of water drained, the drainage of water depend on grain size, shape and compaction of stratum in the soil.

3. Specific yield of unconfined aquifer indicates __________
a) Water capacity
b) Volume of water
c) Water retained
d) All of the mentioned

Explanation: Specific yield is an indication of the water yielding capacity of an unconfined aquifer.
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4. Dupuit’s theory was later modified by _________
a) Thiem
b) Darcy
c) Alam Singh
d) Louden

Explanation: The theory proposed by Dupuit’s on radial flow was modified by Thiem in 1906.

5. The parabolic depression in the aquifer is called as __________
a) Cone of depression and Drawdown curve
b) Parabolic curve
c) None of the mentioned
d) All of the mentioned

Explanation: The parabolic depression formed when water is pumped from the aquifer through well can be called as cone of depression or the drawdown surface.
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6. In most of the confined aquifers,the value of storage coefficient ranges between __________
a) 0.05 to 0.0005
b) 0.5 to 0.005
c) 0.00005 to 0.005
d) 0 to 5

Explanation: By pumping test method, the value of storage coefficient ranges was found to be in between 0.00005 to 0.005.

7. Which of the following is depicted by Dupuit’s theory?
a) The velocity of flow
b) Co-efficient of transmissibility
d) Volume of aquifer

Explanation: The analysis of the radial flow of water to a well was originally proposed by Dupuit’s theory.

8. The co-efficient of transmissibility (T) of an aquifer is given by which of the following equation?
a) T=b k
b) T=b/k
c) T=(b k)2
d) T=k/b

Explanation: The coefficient of transmissibility T is equals the field of co-efficient of permeability K multiplied by the aquifer thickness b:
T=b k.

9. According to Dupuit’s theory,the velocity of flow is proportional to__________
c) None of the mentioned
d) All of the mentioned

Explanation: Based on the assumption proposed by Dupuit’s theory, the velocity of flow is proportional to the tangent of the hydraulic agent instead of its sine.

10. Dupuit’s theory states that, the Darcy’s law equation is not valid near_________
a) Well face
b) Top Surface of well
c) Sides of the well
d) All of the mentioned

Explanation: Since the flow of water is not horizontal near wall and the flow no longer remains laminar. Thus, Darcy’s law equation is not valid near the well face.

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