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Groundwater Flow Equations Questions and Answers

Answer: D

The incorrect statement is Darcy's velocity in unsaturated soil is always greater than that in saturated soil.

Hydraulic conductivity is highest when the pores are full of water. As a soil dries, water flows only through the smaller, still-filled pores and along thinner films, so conductivity, and with it Darcy's velocity under a given gradient, falls steeply. Flow in unsaturated soil is therefore normally slower, not faster.

The other statements are correct. Seepage velocity is Darcy's velocity divided by porosity, and porosity is less than 1, so it is always greater. Darcy's velocity depends on hydraulic conductivity and gradient, not on porosity alone. Ponding water on the surface raises the hydraulic head and so the gradient driving flow, which increases the seepage velocity.

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Answer: B

Steady flow occurs when the rate of recharge is equal to the rate of groundwater discharge.

Steady flow means the hydraulic head at every point stays constant in time. By continuity, the change in storage of the aquifer equals inflow minus outflow, so the storage, and with it the head, stays fixed only when recharge exactly balances discharge.

If recharge exceeds discharge, the aquifer gains storage and the piezometric surface rises; if it is less, the aquifer loses storage and the head falls. Either way the flow is unsteady. Pumping beyond the safe yield is a case of discharge exceeding recharge, which mines the aquifer and gives a continuously falling head.

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