GATE AG 2018 • Q34 NAT • 1 Mark

Section 5: Irrigation and Drainage Engineering

Groundwater Hydrology

Subtopic: Steady and unsteady flow in confined and unconfined aquifers

Question Statement:

The porosity and compressibility of a 7.8 m thick confined aquifer are 0.25 and 1×10⁻⁸ m² N⁻¹, respectively. The storage coefficient of the aquifer is 6.5×10⁻⁴. To release 650 m³ of water from 1 km² of this aquifer, the average decline in hydraulic head will be ________ m.

Official Answer Key:

1.00 to 1.00

Step-by-Step Solution & Explanation

Definition of storage coefficient: S = V_w/(A × Δh). Δh = V_w/(S × A) = 650/(6.5×10⁻⁴ × 1×10⁶) = 650/650 = 1.0 m. The porosity, thickness and compressibility values are redundant here — they would only be needed if S itself had to be computed.

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