Determine the height of capillary rise of water above the ground water...
Calculation of Capillary Rise Height in Sand Bed
Given Data:
Effective size of sand (d
10) = 0.12 mm
Moisture content below groundwater table = 25%
Specific gravity of sand (G) = 2.67
Capillary coefficient (C) = 0.5 cm
Solution:
Step 1: Calculation of Capillary Rise Height
The capillary rise height (h) can be calculated using the following formula:
h = (C * d10 * sqrt(G * theta)) / (1 + e)
where:
theta = Moisture content / 100
e = Void ratio = (G * (1 - theta)) / theta
Substituting the given values in the above formula, we get:
theta = 25 / 100 = 0.25
e = (2.67 * (1 - 0.25)) / 0.25 = 8.01
h = (0.5 * 0.12 * sqrt(2.67 * 0.25)) / (1 + 8.01) = 0.0119 cm
Therefore, the capillary rise height of water above the groundwater table in the sand bed is 0.0119 cm.
Conclusion:
The height of capillary rise of water above the groundwater table in a homogeneous bed of sand having an effective size of 0.12 mm and a moisture content of 25% is found to be 0.0119 cm.