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 11, Problem 11.8P
To determine
Find the degree of consolidation caused by the combination of vertical drainage and radial drainage.
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The diagram of a sand drain is shown in Figures 16.21 and 16.22. Given: rw = 0.25 m, rs = 0.35 m, de = 4.5 m, Cv = Cvr = 0.3 m2/month, kh/ks = 2, and Hc = 9 m.Determine:a. The degree of consolidation for the clay layer caused only by the sand drains after six months of surcharge applicationb. The degree of consolidation for the clay layer that is caused by the combination of vertical drainage (drained on top and bottom) and radial drainage after six months of the application of surcharge. Assume that the surcharge is applied instantaneously.
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5. The coefficient of permeability of a sand at a void ratio of 0.62 is 0.03 cm/sec. Estimate the coefficient of permeability at a void ratio of 0.48.
Using Casagandre equation
Using Kozeny-Carman equation
Find the difference in the rate of flow using the results of “a” and “b” if i = 0.70 and A = 0.6 m2.
Chapter 11 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 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_forwardShow solution. The answer must be 8.22 x10^-10 ft/secarrow_forward2. Estimate the hydraulic conductivity (in cm/sec) of a poorly graded sand with the following characteristics: d100 = 0.425mm, d50= 0.3mm, d30 = 0.25mm, d10= 0.2mm, and do = 0.1mm. Show your work and circle your answer.arrow_forward
- The laboratory consolidation test is conducted on a clay sample. The following data results were obtained P1 =55 kPa P2 = 130 kPa e1= 0.95 e2= 0.80 Thickness of the sample of clay= 35mm Time for 50% consolidation = 3.0 min Tv= 0.197 a. Find the coefficient of volume compressibility b. Determine the coefficient of consolidation if a sample of clay was drained on both sides c. Compute the hydraulic conductivity of the clayarrow_forwardPlease help me answer d and e.arrow_forwardA glass container with pervious bottom containing fine sand in loose state (void ratio = 0.8) is subjected to hydrostatic pressure from underneath until quick condition occurs in the sand. If the specific gravity of sand particles = 2.65, area of cross-section of sand sample= 10 cm2 and height of sample = 10 cm, compute the head of water in cm required to cause quicksand condition. a.9.17 b.0.45 c.7.29 d.0.9arrow_forward
- Solve this problem The following data are given for a channel-type grit chamber of length 7.5 m. 1. Flow through velocity = 0.3 m/s 2. The depth of waste water at peak flow in the channel = 0.9 m 3. Specific gravity of inorganic particles = 2.5 4. g 9.80 m/s², μ = 1.002 x 10-3 N-s/m² at = 20°C, Pw = 1000 kg/m³ Assuming that the Stoke's law is valid, the smallest diameter particle that would be removed with 100% efficiency isarrow_forward4. With two cases shown in the following figure: Plot pore pressure with depth for the soils if hydraulic conductivity of soils K1 = 5 x K2. a- b- flow through a unit thickness of the cross-section if K1 = 5 x 10$ (f/s) and K2 = 1 x 10$ (f/s). Estimate the rate of seepage (q) per linear foot of cross-section, i.e. calculate the rate of C- Plot flow net for 2 cases. -z (ft) z (ft) Water Water 3 ft 3 ft Soil 1 1.5 ft Soll 1 Sol 2 3 ft 3 ft 3 ft 1.5 ft Soil 2 Datum psf Datum psf porous stone porous stone 3 ft 1.5 ft 1.5 ft Case 1 Case 2arrow_forwardSubject: Soil Mechanics Please provide a solution and a diagram For a laboratory consolidation test on a clay specimen (drained on both sides) the following results were obtained: Thickness of clay soil= 25 mm; P_1 = 50 kPa; P_2 = 120 kPa; e_1 = 0.92; e_2 = 0.78; Time for 50% consolidation= 2.5 min. Tv = 0.197. Determine the hydraulic conductivity of the clay for the loading range in m/min. a. 1.081 x 10^-3 b. 2.56 x 10^-2 c. 1.31 x 10^-7 d. 1.23 x10 ^-5arrow_forward
- Repeat Problem 16.6 with the following:D50 = 3.2 mmD20 = 0.91 mmD10 = 0.72 mmarrow_forwardi. A sandstone core sample is saturated 100% with water. Calculate the absolute permeability of the core sample if the water is flowing at 6.21 cubic centimetres per second. The length of the core sample is 14 centimetres and its diameters is 6 centimetres. The pressure differential across the core sample is 15 atmospheric pressure and the water viscosity is 1.2 centipoises. Explain a method of how the permeability of low permeability reservoirs can be ii. improved.arrow_forwardProblem 7.17arrow_forward
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