GATE CE 2019 Set 2 — Question 57
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Water Resources Engineering → Hydrographs & Groundwater → Darcy's Law Application
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Question
A confined aquifer of constant thickness is sandwiched between two aquicludes as shown in the figure (not drawn to scale).
The heads indicated by two piezometers P and Q are and , respectively. The aquifer has a hydraulic conductivity of and its effective porosity is . If the distance between the piezometers is , the time taken by the water to travel through the aquifer from piezometer location P to Q (in days, round off to 1 decimal place) is ________.
Correct answer
924 to 926
Solution
To find the time taken by water to travel from piezometer P to Q, we need to calculate the seepage velocity.
Rounding to one decimal place, we get days.
1.Calculate the hydraulic gradient ():
The hydraulic gradient is the change in head over the distance between the two points.2.Calculate the Darcy velocity ():
Using Darcy's Law, , where is the hydraulic conductivity.3.Calculate the seepage velocity ():
The actual velocity of water through the pores is the seepage velocity, which is the Darcy velocity divided by the effective porosity ().4.Calculate the time taken ():
The time taken to travel the distance is:Rounding to one decimal place, we get days.
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