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 11.7P
To determine
Find the degree of consolidation caused by sand drain.
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4. 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 2
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.
Given the figure below and considering a downward flow, forthe sand the following are its
properties e=0.52 and Gs = 2.67, h= 0.650 and H1 = 1.20 m; H2 = 3.50 m,z = 1.50 m. a) Calculate and illustrate through a
diagram the 6,u and 6' of the points C& B.
Place your Calculated Values here:
Inflow
Point
6
6'
(歲)。
Valve (open)
B
Outflow
Chapter 11 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- The section through a long cofferdam is shown below, the coefficient of permeability of the soil being 6x10-8 m/s. Determine the quantity of seepage entering the cofferdam. 5.50 m I 0 1 2 3 4 5 As = 0.70 ml +cl 10 B ax 15 marrow_forwardFor the figure shown below, if the area of the tank is 0.5 m² and hydraulic conductivity of sand is 0.1 cm/sec. a. What is the magnitude and direction of the rate of seepage? b. If the value of h=1.2m, will boiling occur? Why? c. What should be the value of "h" to cause boiling? Outflow Inflow 1m 2m A B h = 1.2m e = 0.55 G=2.68 Valve (open)arrow_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
- Situation 1 – Refer to the picture. 1. Assume 3K1=K2=1.5K3=2K4 K1=3.5x10-2 (cm/s) Calculate the equivalent coefficient of permeability. 2. Assume 3K1=K2=1.5K3=2K4 K1=3.5x10-2 (cm/s) Calculate the rate of seepage 3. Assume 3K1=K2=1.5K3=2K4 K1=3.5x10-2 (cm/s) Calculate the height of water above C if piezometer was placed at that pointarrow_forwardA concrete culvert is to be constructed in a bed of sand (e = 0.65) for drainage purposes. The crown of the culvert will be located 3.5 m below ground surface. Currently, the groundwater level is at ground surface. But, after installation of the culvert, the groundwater level is expected to drop to 2 m below ground surface. Calculate the change in effective stress on the roof of the culvert after installation. You can assume the sand above the groundwater level is saturated.arrow_forwardA block of soil in a permeability test has a length of 120 mm and a cross-sectional area of 600 mm2. The water level at one end is 200 mm above a fixed datum and at the other end is 30 mm above the same plane. The flow rate was 2 ml in 90 seconds. Compute the coefficient of permeability of the soil in m/s. a.2.61 x 10-5 m/s b.0.98 x 10-5 m/s c.1.78 x 10-5 m/s d.3.97 x 10-5 m/s e.1.89 x 10-5 m/sarrow_forward
- Plot the following data and determine the preconsolidation pressure and the modified compression index. % Consolidation (Compression is +) Pressure (kPa) % Consolidation (Compression is +) Pressure (kPa) 0.09 5 7.34 160 0.11 10 7.6 320 0.12 20 8.35 640 0.26 40 12.65 1280 0.98 80 17.41 2560 1.91 160 22.18 5120 4.19 320 21.65 1280 8.05 640 20.63 160 8.03 320 19.26 40 7.83 160 15.35 5 7.21 80 Specimen height is 2.54MM, Sample is from a depth of -11.5marrow_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_forwardA plant's grit channel is designed to remove sand, which has a settling velocity of 0.080fps. The channel is currently operating at a depth of 2.5ft. How many seconds will it take for a sand particle to reach the channel bottom?arrow_forward
- Problem The saturated soil specimen shown below has a permeability of 0.005 cm/sec, a porosity of 38%, and a cross-sectional area of 22 cm². Two standpipes are placed at points A and B as shown below. The specimen has reached a steady state condition after flushing it with water for 1 hr. Datum ttttt h₁ = 100 cm 50 cm L = 50 cm B 40 cm h₂ = 80 cm Determine: 1. 2. Elevation head (in cm) at points A and B. Pore water pressure (in kPa) at points A and B. 3. Discharge velocity (in cm/sec) through the sample. 4. 5. What is the quantity of flow through the sample in cm³/day? What is the magnitude of the seepage velocity (in cm/sec)? OUTarrow_forward3. A sediment laden water is to be treated in a sedimentation tank with Type I settling characteristics. The tank is 35 m. long and 20 m. wide with a depth of 5 m. A controlled constant flow rate of 3.5 m³/s passes through the tank. A particle size analysis has been made and the results are listed in the table below: Dp (m) 0.00005 0.00007 0.00009 0.0001 0.0002 Mass Concentration (mg/L) 100 200 300 200 100 Assume that the particle densities are all 2,000 kg/m³ and the dynamic viscosity of water is 0.001 Ns/m². (a) Determine the effluent particle size distribution and the effluent sediment concentration by using a spreadsheet or writing a QuickBASIC program. (b) Determine the particle removal efficiency (%) of the tank.arrow_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_forward
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