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 6, Problem 6.17CTP
To determine
Find the equivalent hydraulic conductivity along horizontal direction
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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.
The figure below shows the layers of soil in a tube 100 mm x 100 mm in cross section. Water is supplied to maintain a constant head difference of H across the sample. Hydraulic conductivities of each soil are tabulated below. All measurements in the figure are millimeters. If H = 1.98 and the Hydraulic conductivity of soil E is 0.002 m/s.
a. Determine the equivalent hydraulic conductivity of the system in the direction of the flow.
b. Find the h1 and h2.
c. Determine the rate of flow.
For a variable head permeability test, these values are given:• Length of the soil specimen 200 mm• Area of the soil specimen 1000 mm2• Area of the standpipe 40 mm2• Head difference at time t 0 is 500 mm• Head difference at time t 3 min is 300 mma. Determine the hydraulic conductivity of the soil in cm/sec.b. What was the head difference at time t 100 sec?
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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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_forward8. The figure shows the layers of soil in a tube that is 100 mm x 100 mm in cross section. When supplied to maintain a constant head difference of 300 mm across the sample. The hydraulic conductivity of the soils in the direction to flow to them are as follows: Soil A = 2 x 10 ^ -2 cm/sec Soil B = 3 x 10 ^ -3 cm/sec Soil C = 4 x 10 ^ -4 cm/sec (See picture below) Find the equivalent hydraulic conductivity Find the hydraulic gradient Find the rate of water supply in cm3/hr.arrow_forwardA soil sample 10 cm in diameter is placed in a tube 1.2 m long. A constant supply of water is allowed to flow into one end of the soil at A and the outflow at B is collected by a beaker. The average amount of water collected is 2 cm3 for every 10 seconds. Determine the hydraulic gradient Determine the seepage velocity if the void ratio is 0.60 in cm/s. Determine the coefficient of permeability cm/s.arrow_forward
- For a falling-head permeability test, the following values are given: · Length of specimen = 250 mm. · Area of soil specimen = 1200 mm2. · Area of standpipe = 50 mm2. · Head difference at time t = 0 = 600 mm. · Head difference at time t = 200 sec = 300 mm. Determine the hydraulic conductivity of the soil in cm/sec.arrow_forwardFor a falling head laboratory test, the following are the given values:• Length of soil specimen = 210.00 mm• Initial head = 523.00 mm• Final head = 297.00 mm• Duration of test = 3.50 mins• Area of standpipe = 42.0 sq.mm• Area of specimen = 1050.00 sq.mmA. Compute for the hydraulic conductivity of the soil in cm/sec.B. Determine the seepage velocity if n=0.35C. Determine the head difference at t = 120 secarrow_forwardThe data from a falling-head test on a silty clay are: Cross sectional area of soil = 1000 mm^2 Length of soil sample = 200 mm Area of stand pipe = 40 mm^2 Head difference at time t = 0 is 500 mm Head difference at time t = 3 min is 300 mm a) Determine the hydraulic conductivity of the soil in cm/sec. b) What is the head difference at time t = 100 sec in mmarrow_forward
- Sketch the figure and determine coefficient of permeability (k) in mm/min using constant head permeability, given the following data, Water flows horizontally The height of the reservoir supply source is 2 m above the elevation of the outlet. The soil sample length in the direction of water flow is 200 mm. The cross-sectional area of the soil sample is 1,950 mm2. The measured volume of flow for the steadystate condition is 500 ml in a 10-minute time period.arrow_forwardFor a constant head permeability test in a sand, the following values are given:• L 350 mm• A 125 cm2• h 420 mm• Water collected in 3 min 580 cm3• Void ratio of sand 0.61Determine:a. Hydraulic conductivity, k (cm/sec)b. Seepage velocityarrow_forwardDetermine 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_forward
- The following data are for a falling-head permeability test:• Length of the soil sample = 150 mm• Area of soil sample = 1964 mm^2• Area of the standpipe = 25 mm^2• At time t = 0, head difference = 400 mm• At time t = 8 min, head difference = 200 mma. Determine the hydraulic conductivity of the soil (cm/sec). (ans. 2.75x10^-4 cm/s)b. What was the head difference at t = 6 min? (ans. 23.82cm)arrow_forwardThe figure shows a cross section through the strata underlying a site of which the permeability properties are of importance. Assume the coefficient of permeability in the horizontal and vertical directions to be the same in each stratum. (each layer is hydraulically isotropic). Estimate the ratio of equivalent hydraulic conductivity: kh(eq)/kv(eq) A: h=4.1 m, k=11x10^-4 mm/s B: h=1.49 m, k=69x10^-5 mm/s C: h=1.16 m, k=36x10^-7 mm/s D: h=2.91 m, k=51x10^-10 mm/sarrow_forwardThe 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_forward
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