Question Bank • QB_IDE_GWH_002 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Groundwater Hydrology

Subtopic: Groundwater movement; Darcy's Law

Question Statement:

Two piezometers $A$ and $B$ spaced $200\text{ m}$ apart in a homogeneous sand aquifer record groundwater piezometric heads of $45.0\text{ m}$ and $43.0\text{ m}$, respectively. The hydraulic conductivity of the sand is $K = 25.0\text{ m/day}$ and the effective porosity is $n_e = 0.25$. The actual pore water seepage velocity ($v_s = \frac{K \cdot i}{n_e}$) in $\text{m/day}$ is ________ (answer in integer).

Answer Key:

1

Step-by-Step Solution & Explanation

1. Hydraulic gradient ($i$): $i = \frac{h_A - h_B}{L} = \frac{45.0 - 43.0}{200} = \frac{2.0}{200} = 0.010$ 2. Darcy velocity ($v$): $v = K \cdot i = 25.0 \times 0.010 = 0.25\text{ m/day}$ 3. Actual seepage velocity ($v_s$): $v_s = \frac{v}{n_e} = \frac{0.25}{0.25} = 1.0\text{ m/day}$
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