Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 6, Problem 6.16P
To determine
Find the volume of water flowing into the ditch every day (V).
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A 500 m long levee made of compacted clay impoundswater in a reservoir as shown in attached Figure There is a 1 mthick (measured in the direction perpendicular to the seam)sand seam continuing along the entire length of the levee, at10° inclination to the horizontal, which connects the reservoirand the ditch. The hydraulic conductivity of the sand is2.6 X 10-3 cm/s. Determine the volume of water that flowsinto the ditch every day.
9. From the figure shown: (See picture below)
Cross-sectional area = 0.6m2
Hydraulic Conductivity of sand = 0.1 cm/sec
What is the rate of upward seepage of water? (Answer: 360 cm3/sec)
What would be the critical hydraulic gradient? (Answer: 1.12 m)
What value of h to cause boiling? (Answer: 2.8 m)
A confined aquifer has a constant thickness of 34 m and is stratified between two observation wells as shown in the following figure. Given the piezometric surface elevations on the figure, determine the flow per unit width of the aquifer. What is the equivalent hydraulic conductivity in the direction of the flow/ for the portion of the aquifer between the two observation wells?
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Refer to Figure 7.24. The following data were collected during the field permeability measurement of a confined aquifer using a pumping test. Determine the hydraulic conductivity of the permeable layer. Use Eq. (7.49). Thickness of the aquifer, H = 4.5 m Piezometric level and radial distance of the first observation well: h1 = 2.9 m; r1 = 17.8 m Piezometric level and radial distance of the second observation well: h2 = 1.8 m; r2 = 8.1 m Rate of discharge from pumping, q = 0.5 m3/minarrow_forwardThree piezometers have been installed in the confined aquifer shown in Figure 2 below. The aquifer has a uniform thickness of 3.5 m and a hydraulic conductivity of 2x10-1 cm/s. Determine the hydraulic gradient, the direction of flow, the transmissivity, and the flow rate per unit width of the aquifer.arrow_forward11. A channel runs almost parallel to a river as shown in the figure. The water level in the river has an elevation of 36 m. and the elevation of the channel is 33 m. The river and channel are 600 m apart and a previous formation of the average thickness of 9 m and hydraulic conductivity of 0.80 m/hr joints them together. Compute the hydraulic gradient Compute the rate of seepage flow from the river to the channel per meter width in liters per day. If the seepage velocity is 0.048 m/day, compute the void ratio of the previous medium.arrow_forward
- Refer to Problem 8.4. Using the flow net drawn, calculate the hydraulic uplift force at the base of the hydraulic structure per meter length (measured along the axis of the structure).8.24 For the hydraulic structure shown in Figure 8.24, draw a flow net for flow through the permeable layer and calculate the seepage loss in m3/day/m.arrow_forwardA certain 20 m thick sandy confined aquifer has a k of 0.024 cm/s and a void ratio of 0.91. If the hydraulic gradient is 0.0065, how much time would be required for water to travel 1000 m through this aquifer?arrow_forwardA aquifer of an medium to coarse grained sand aquifer. It is 12.19 thick and 1.61 km wide. This aquifer is covered by a confining unit of Quaternary clay deposit about 13.72 m thick beginning from the land surface. The difference in the hydraulic head between two observation wells 1.524 m apart is 3.05 m. The hydraulic conductivity of the aquifer is 20.44 m/d. What is the quantity of the ground water passing through a cross-section of this aquifer?arrow_forward
- From the figure shown, H1 = 0.60, H2 = 0.90 m. and h = 0.45 m. The sad has a saturated unit weight of 18.65 kN/m3 . Hydraulic conductivity of sand K = 0.12 cm/sec. If the cross sectional area of tank = 0.46 m2 , determine the following: 1. Total stress and Effective stress at C. 2. Pore water pressure at C. 3. Rate of upward seepage of water in liters/sec.arrow_forwardFUNDAMENTALS OF GEOTECHNICAL ANALYSIS A fine sand sample is placed into a permeameter that supplies a constant head of 100 cm ofwater. Water flows through the sample area of 20 cm2, and its length of 25 cm. If 850 ml of water is collected in 80 seconds, what is the hydraulic conductivity, kHYD in cm/s? a) Calculate the flow rate in cm3/s if the head is increased to 140 cm.arrow_forwardTacarigua aquifer in Trinidad is a medium to coarse grained sand aquifer. It is 12.19 thick and 1.61 km wide. This aquifer is covered by a confining unit of Quaternary clay deposit about 13.72 m thick beginning from the land surface. The difference in the hydraulic head between two observation wells 1.524 m apart is 3.05 m. The hydraulic conductivity of the aquifer is 20.44 m/d. What is the quantity of the ground water passing through a cross-section of this aquifer?arrow_forward
- Calculate the equivalent hydraulic conductivity in horizontal and vertical direction for the soil profile shown in Figure Q3. [Hint: Assume head loss of each layer is equal to its thickness (zi=hi)].arrow_forwardSolve for the ratio of equivalent hydraulic conductivity with the following given: h1 = 2 m h2 = 2.5 m h3 = 1.8 m h4 = 0.9 m k1 = 1.5E-3 cm/sec k2 = 2.2E-4 cm/sec k3 = 1.6E-4 cm/sec k4 = 4.0E-4 cm/sec What is the equivalent coefficient of permeability if the water flows parallel to the layer of soil (KeqH) in cm/sec?arrow_forwardA layer of sand 6 m thick lies beneath a clay stratum 5 m thick and above abed thick shale. In order to determine the permeability of sand, a well was driven to the top of the shale and water pumped out at a rate of 0.01m3/sec. Two observation wells driven through the clay at 15m and 30 m from the pumping well and water was found to rise to levels of 3m and 2.4 m below the ground water surface. Calculate the permeability of soil.arrow_forward
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