Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 7, Problem 7.2P
To determine
Find the rate of seepage through the permeable layer at
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A 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.
An 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.
A cofferdam (a temporary dam for construction purposes) is built across the mouth of a small bay. It is 41.15 m in length and is underlain by a permeable sand layer as shown in Figure 2. Water seeps through this sand (K=0.064 cm/s) and must bepumped out. Find the total seepage per day.
Chapter 7 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 7 - Prob. 7.1PCh. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Prob. 7.8PCh. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - Prob. 7.11PCh. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - Prob. 7.16PCh. 7 - Prob. 7.17PCh. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - Prob. 7.20PCh. 7 - Prob. 7.21PCh. 7 - Refer to Figure 7.24. The following data were...Ch. 7 - Prob. 7.23PCh. 7 - Prob. 7.1CTP
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- The seepage occurring through an earthen dam is represented by a flownet comprising of 10 equipotential drops and 20 flow channels. The coefficient of permeability of the soil is 3 mm/min and the head loss is 5 m. The rate of seepage (expressed in cm3/s per m Length of the dam) through the earthen dam isarrow_forwardDetermine the seepage velocity, in cm/min, if the porosity of soil is 0.30.arrow_forward44 A three-layer soil has the following properties: Layer 1: k = 2.66 x 10^-3 cm/s, H = 3.42 m. Layer 2: k = 1.77 x 10^-2 cm/s, H = 4.99 m. Layer 3: k = 3.47 x 10^-3 cm/s, H = 4.9 m. Determine the equivalent vertical coefficient of permeability of the soil arrangement. Layer 1 is on top of layer 2 while layer 2 is on top of layer 3. Round off to four decimal places.arrow_forward
- Seepage 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_forwardConsider two horizonal soil layers, each is isotropic, the upper layer 1 is sitting directly on the top of bottom layer 2. Layer 1 has a thickness of 2 m and a hydraulic conductivity of 0.26 m/day and layer 2 has a thickness of 4 m and a hydraulic conductivity of 0.95 m/day. In this case, calculate the equivalent horizontal hydraulic conductivity in m/day.arrow_forwardRefer to the figure. If H1 = 1.94 m, H2 = 2.37 m, h = 1.c m, e =0.49, Gs = 2.67,area of the tank = 0.64 m2, and hydraulic conductivity of the sand (k) = 0.3d cm/sec. What is the upward seepage force per unit volume of soil?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 layer of silty soil of thickness 5 m lies below the ground surface at a particular site and below the silt layer lies a clay stratum. The ground water table is at a depth of 4 m below the ground surface.The following data are available for both the silt and clay layers of soil.Silt layer: ?10 = 0.018 mm, e = 0.7, and Gs = 2.7Clay layer: e = 0.8 and Gs = 2.75Required: (a) Height of capillary rise, (b) capillary pressure, (c) the effective pressure at the ground surface, at groundwater table (GWT) level, at the bottom of the silt layer and at a depth of H =6 m below ground level, and (d) at a depth 2 m below ground level. (Sketch or draw the stress distribution diagram).arrow_forwardQuestion 34 A three-layer soil has the following properties: Layer 1: k = 2.72 x 10^-3 cm/s, H = 3.02 m. Layer 2: k = 1.7 x 10^-2 cm/s, H = 4.93 m. Layer 3: k = 3.16 x 10^-3 cm/s, H = 4.04 m. Determine the equivalent vertical coefficient of permeability of the soil arrangement. Layer 1 is on top of layer 2 while layer 2 is on top of layer 3. Round off to four decimal places.arrow_forward
- The figure shows water flowing through saturated soil in the hatched area. Calculate the elevation pressure and total heads at points A, B and C. If the coefficient of permeability of the soil in the hatched area is 5 cm/sec and the cross sectional area of the soil sample is 15m2 calculate the water flow rate through the soil.arrow_forwardGiven: velocity of flow = 0.0375 m/s coefficient =0.05 m/s porosity p =48% slope S = 3/4 Given the coefficient =0.05 m/s and porosity p =48%, find the transmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m.arrow_forwardseepage is occurring through the sandy layer underneath the concrete dam.Given: upstream water level = 15.8 m; downstream water level = 2.1 m; thickness of the sandy layer = 1.1 m; coefficient of permeability of the sandy layer = 0.0081 cm/s and L = 48 m. Determine: 1.The seepage flowrate per unit length of the wall in m3/hr/m. 2.Quantity of seepage per day if the dam is 400 m long.arrow_forward
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