Darcy\'s Law states that the velocity V of underground water through sandstone v

Question

Darcy's Law states that the velocity V of underground water through sandstone varies directly as the head h and inversely as the length l of the flow. The head is the vertical distance between the point of intake into the rock and the point of discharge, such as a spring. The length is the length of the flow from intake to discharge. See the figure below. Explain why it is reasonable for the velocity to be proportional to h but inversely proportional to l. Write an equation describing the relationship between V, h, and l. Describe some factors that might affect the value of the proportionality constant. Describe some factors that cannot affect the proportionality constant. In a certain sandstone, a velocity of 10ft/yr has been recorded with a head of 50 feet and a length of 200 feet. What would you expect the velocity to be in the same sandstone if the head is 60 feet and the length is 300 feet? Show your calculations (of course).

Explanation / Answer

b) V=kh/l

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