Allied & ICAR Exam Bank • ALLIED_0551 MCQ • 1 Mark

Section 5: Irrigation and Drainage Engineering

Groundwater Wells and Pumps

Subtopic: Groundwater Wells and Pumps

Question Statement:

Dupuit-Thiem formula for steady radial flow to a fully penetrating well in an unconfined aquifer is:

Options:

  • (A) $Q = \frac{\pi K (h_2^2 - h_1^2)}{\ln(r_2 / r_1)}$
  • (B) $Q = \frac{2 \pi K b (h_2 - h_1)}{\ln(r_2 / r_1)}$
  • (C) $Q = \frac{\pi K (h_2 - h_1)^2}{\ln(r_2 / r_1)}$
  • (D) $Q = \frac{2 \pi K (h_2^2 - h_1^2)}{r_2 / r_1}$

Answer Key:

A

Step-by-Step Solution & Explanation

Integrating Dupuit's flow equation $Q = 2 \pi r K h \frac{dh}{dr}$ yields $Q = \frac{\pi K (h_2^2 - h_1^2)}{\ln(r_2 / r_1)}$.
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