Question
Download Solution PDFIn a one-dimensional flow in an unconfined aquifer, between two water bodies during recharge, the water table profile is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Unconfined flow with Recharge:
The shape of the water table determines the flow distribution, but at the same time, the flow distribution governs the water table shape.
For one-dimensional unconfined flow subject to recharge or evapotranspiration, we can obtain the following equation for the water-table position:
\(q_x={K\over 2L}(h_1^2-h_2^2)-R({L\over 2}-x)\)
Where x = distance from the origin, L = distance from the origin to the point where h2 is measured, h1 = head at the origin (upstream end), h2 = head at the distance L (downstream end), K = mean hydraulic conductivity of the unconfined aquifer, and R = recharge rate.
For one-dimensional flow in an unconfined aquifer between two water bodies during recharge the water table profile is represented by an ellipse equation.
Unconfined Flow without recharge:
\(q_x={K\over 2L}(h_1^2-h_2^2)\)
For one-dimensional flow in an unconfined aquifer between two water bodies with no recharge, the water table is represented by a parabolic equation.
Hence option (3) is the correct answer.
Last updated on Mar 26, 2025
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