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 6.2P
To determine
Find the rate of seepage through the layer in
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A permeable soil layer is underlain by an impervious layer, as shown in Figure 6.13. With k = 5.2 × 10–4 cm/s for the permeable layer, calculate the rate of seepage through it in m3 /hr/m length. Given: H = 3.8 m and α = 8°.
A permeable soil layer that is underlain by an impervious layer slope at 5 degrees to the horizontal and is 4m thick measured vertically. If the coefficient of permeability of the permeable layer k=0.005 cm/sec, determine the rate of seepage per meter width of permeable layer in liters per hour.
An aquifer slopes away from a river, as shown in Fig. 3-7 The hydraulic conductivity of the aquifer which is 20 ft thick is known to be 0.2 ft/day. The water is 20 ft deep in the river, and the bottom of the trench is 30 ft below the bottom of the river and 600 ft away from the edge of the river. The trench is 40 ft deep. Will water flow out of the trench without pumping? If so, what will be the rate of flow?
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- Seepage around a retaining wall is shown in the figure below. The hydraulic conductivity of the sand is 1.8 x 10-5 cm/s. The retaining wall is 20 m long. Determine the quantity of seepage across the entire wall per dayarrow_forwardA permeable soil layer is underlain by an imprevious layer. With k= 5.5x10^-4 cm/s for the permeable layer, calculate the rate of seepage through it in m^3/hr/length. Given: H = 4.2 m and a = 7 degrees.arrow_forwardCalculate the coefficient of permeability in mm/s of a soil sample, 6 cm in height and 50 cm2 in cross sectional area, if a quantity of water equal to 430 ml passed down in 10 minutes, under an effective constant head of 40 cmarrow_forward
- From the figure shown 1. What is the equation in determining the equivalent coefficient of permeability in the horizontal direction. 2. What is the equivalent coefficient of permeability in the horizontal direction if each soil layer is 3 m. thick and has the given values of K1, K2, K3 and K4. 3. What is the total flow if iav = 0.70arrow_forwardAn impervious layer underlies 4 layers of permeable soil. The thickness and the coefficient of permeability each layer from top to bottom are: Evaluate the equivalent horizontal coefficient of permeability of the deposit in cm/sec. Evaluate the discharge of the aquifer in m3/day if the hydraulic gradient for the soil formation is 0.70.arrow_forwardA permeable soil layer is underlain by an impervious layer as shown. For permeable layer K=4.8x10-3 cm/sec. If H = 3 m and α = 5˚ (See picture below) Determine the hydraulic gradient Determine the cross-sectional area of the permeable soil layer. Determine the rate of seepage in cm3/hr/meter.arrow_forward
- 29. Soil in a field has three layers. Each has a thickness of 3m, 4m, and 3m, from top layer to bottom layer. The hydraulic conductivity of each layer is 0.0043cm/s, 0.0072cm/s, and 0.0018cm/s, respectively. Calculate the effective horizontal hydraulic conductivity.arrow_forwardConsider a saturated clay layer of thickness of 6 m on top of a layer of stiff sand. The clay has an initial porosity of 18%Following lowering water level, the clay porosity is reduced to 12%. What is the change in the thickness of the clay layer (corresponding to subsidence) caused by lowering of the water table?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 perpendicular to the layer of soil (KeqV) in cm/sec?arrow_forward
- 1. How many millimetres (equivalent depth) of water are contained in a soil profile 1 metre deep if the mass water content of the upper 400 mm depth is 15% and that of the lower 600 mm is 20%. The bulk density in the upper layer is 1300 kg m-3 and in the lower layer is 1500 kg m-3. Assume ρw = 1000 kg m-3.How much water does the soil contain (in cubic metres) per 1.5 hectares of land?arrow_forwardA permeable soil layer is underlain by an impervious layer as shown below. Knowing that k = 6 x 10 -3 cm/sec for the permeable layer. Given H = 5.4 m, calculate the rate of seepage through this layer in m 3 /hr. if: α = 5 o α = 7 o α = 9 o α = 12 o Draw a chart α vs. q (i.e. α on the x-axis, and q on the y-axis) and discuss how the slope angle (α) impact the flow rate and explain the reason for such behavior.arrow_forwardSeepage takes place around a retaining wall shown in Figure Q5. The coefficient of permeability of the sand is 3×10−3 cm/s. If the retaining wall is 20m long, calculate the quantity of seepage across the entire wall per day.arrow_forward
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