According to Darcy's law, the seepage quantity \(Q\) through a soil sample of cross-sectional area \(A\), length \(L\), head difference \(\Delta h\) and permeability \(k\) is:

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Architecture Engineering QUESTION #2337

Question 1

\(Q = k \cdot A \cdot \dfrac{L}{\Delta h}\)
\(Q = k \cdot \dfrac{\Delta h}{L} \cdot A\)✔️
\(Q = k \cdot \Delta h \cdot L \cdot A\)
\(Q = \dfrac{k \cdot A}{\Delta h \cdot L}\)

Correct Answer Explanation

Darcy's law: \(Q = k \cdot i \cdot A\) where the hydraulic gradient \(i = \dfrac{\Delta h}{L}\). Therefore \(Q = k \cdot \dfrac{\Delta h}{L} \cdot A\). This linear relationship is valid for laminar flow where velocity is directly proportional to hydraulic gradient.

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