Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 7, Problem 7.3P
(a)
To determine
The rate of seepage per unit length of the dam.
(b)
To determine
The seepage velocity.
(c)
To determine
The quantity of seepage per day for 350 m long dam.
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L = 370 mm
A = 145 cm^2
h = 340 mm
Water collected in 3 min Q = 580 cm^3
Void ratio of sand e= 0.66
Determine the Hydraulic conductivity and seepage velocity.
A pump well is dug through a confined aquifer having a thickness of 32 meters. The piezometric surface of the aquifer is 18 meters measured from the top impermeable layer. The first observation well is 75 feet directly west of the pump well and the second observation well is 75 feet directly north of the first observation well. Determine the hydraulic conductivity of the aquifer if it supplies a discharge of 10 liters per second and the drawdown of the observation wells are 13 feet and 23 feet.
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)].
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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- 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_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_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_forward
- Determine the horizontal and vertical equivalent hydraulic conductivity for the following stratified soil. Take depth of each layer equal to 1.25 m Layer Hydraulic Conductivity (cm/s) 1 0.003 2 0.0003 3 0.002 4 0.0004arrow_forward1. Calculate the equivalent hydraulic conductivity for the soil profile shown in figure 2. An excavation is proposed for a square area near the bend of a river, as shown in figure. It is expected that the flow of water into the excavation will come through the silt layer. Pumping test reveal an average horizontal hydraulic conductivity of 2 x 10 -5 cm/s in the silt layer. The excavation has to be kept dry. Determine the flow (qs) into the excavation.arrow_forwardCalculate the equivalent hydraulic conductivity in the horizontal as well as the vertical direction for the given stratified soil. Layer Hydraulic conductivity (cm/sec) 1 0.002 2 0.0002 3 0.001 4 0.0003 The depth of each layer is 1 m.arrow_forward
- An unconfined aquifer exists where a buried river channel cut into underlying impermeable bedrock. The figure below shows the orientation and pertinent dimensions. The flow rate at the pumping well is 250 gpm, and its radius of influence is 1000 ft. The hydraulic conductivity of the aquifer is 15 ft/d, and the initial saturated thickness is 120 ft. Find the drawdown at the observation well under equilibrium conditions.arrow_forwardRefer 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_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_forward
- Three 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_forwardIn fig 3-5, the aquifer thickness is 10 ft, the hydraulic conductivity of the aquifer is 0.06 m/day, and the river water surface is 7m above the bottom of the aquifer. If it is necessary to maintain a water level in the trench not more than 10 m deep, at what rate must water be pumped out of a 100 m long trench? The distance between the edge of the trench and the river is 300 m. Assume all water comes from the river.arrow_forwardSeepage 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_forward
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