Question Bank • QB_SUB_IDE_0072 MCQ • 1 Mark

Section 5: Irrigation and Drainage Engineering

Wells and Pumps

Subtopic: Types of wells

Question Statement:

In a confined artesian aquifer of thickness $b$ and hydraulic conductivity $K$, the discharge to a fully penetrating pumping well is given by the Thiem equilibrium formula as:

Options:

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

Answer Key:

A

Step-by-Step Solution & Explanation

Thiem formula for confined aquifer: $Q = \frac{2 \pi T (h_2 - h_1)}{\ln(r_2 / r_1)} = \frac{2 \pi K b (s_1 - s_2)}{\ln(r_2 / r_1)}$. Dupuit formula (with squared heads) applies to unconfined aquifers.
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