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 9, Problem 9.6P
To determine
Find the hydraulic gradient
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A dense silt layer has the following properties: void ratio e = 0.50, effective Diameter D10 = 10 μm, capillary constant C = 0.20 cm2. The free groundwater level is 8m below the ground surface. Assume unit weight of solids y= 26.50kN/m3. Find the vertical effective stress at 10m depth. Assume that the soil above the capillary zone is partially saturated at 50%.
Consider 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.
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.
Chapter 9 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- A sand has Gs = 2.66. Calculate the hydraulic gradient that will cause boiling for e = 0.35, 0.45, 0.55, 0.7, and 0.8.arrow_forwardFor a sandy soil, the following are given: • Maximum void ratio = 0.72 • Minimum void ratio = 0.46 • Hydraulic conductivity at a relative density of 80% = 0.006 cm/sec. Determine the hydraulic conductivity of the sand at a relative density of 67%.arrow_forwardA 3 m thick soil has coefficient of permeability 3 x10^-7 m/s. A separate test porosity 40% and bulk unit weight 21 kN/m^3 at a moisture content of 31%. Determine the flow to maintain critical conditions? Assume unity unit area. a. 6.2 x10^-7 m^3/s/m^2 b. 1.0 x 10^-7 m^3/s/m^2 c.3.1 x 10^-7 m^3/s/m^2 d. 5.7 x 10^-7 m^3/s/m^2arrow_forward
- Consider a clay layer drained at the the top and bottom as shown in figure. For the case of constant initial excess pore water pressure (ui=u0) and Tv=0.4 ,determine the degree of consolidation Uz at z/Ht.For the solution, start from eq.(6.32).arrow_forwardL = 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.arrow_forwarda dense silt layer has the following properties: void ratio = 0.50, effective diameter d10 = 10 um, capillary constant c = 0.20 cm2. free ground water level is 8.0 m below the ground surface. find the vertical effective stress in kpa at 5m depth. assume unit weight of solids = 26.5 kn/m3 and that the soil = 26.5 kn/m3 and that the soil above the capillary action rise and ground surfaces is partially saturated at 50% from the problem above, find the vertical effective stress at 10m depth. assume unit weight of solids=26.5kN/m3 and that the solid above the capillary action rise and ground surface is partially saturated at 50%.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_forwardA sand deposit of 12 m thick overlies a clay layer. The water table is 3 m below the ground surface. In a field permeability pump-out test, the water is pumped out at a rate of 540 liters per minute when steady state conditions are reached. Two observation wells are located at 18 m and 36 m from the Centre of the test well. The depths of the drawdown curve are 1.8 m and 1.5 m respectively for these two wells. Determine the coefficient of permeability. Include FBD.arrow_forwardA sand deposit of 12 m thick overlies a clay layer. The water table is 3 m below the ground surface. In a field permeability pump-out test, the water is pumped out at a rate of 540 liters per minute when steady state conditions are reached. Two observation wells are located at 18 m and 36 m from the Centre of the test well. The depths of the drawdown curve are 1.8 m and 1.5 m respectively for these two wells. Determine the coefficient of permeability. Answer must be: 4.5 × 10–1 mm/sarrow_forward
- In the setup below, the soil's hydraulic conductivity is in m/s and it's void ratio is 1. Determine the hydraulic conductivity, the elevation head and pressure head at point A, and the discharge velocity through the soil sample.arrow_forwardA dense silt layer has the following properties: e=0.30, D10=10µm and capillary constant = 0.20cm2 Free ground water level is 8m below the ground surface. Determine the vertical effective stress (kPa) at 5m depth (point A). Assume unit weight of solids = 26.5 KN/m3 and that the soil above the capillary rise and ground surface is partially saturated at 50%.arrow_forwardA dense silt layer has the following properties: void ratio = 0.67, specific gravity = 2.55. Free ground water is 10.96 m. below the ground. Capillary action rise will reach 5.81 meters. The soil above capilary action rise is dry while within the zone, it is saturated at 51.78%. Determine the effective pressure (in kPa) at a depth of 7.21 meters from the ground surface. Round off to three decimal places.arrow_forward
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