A falling head hydraulic conductivity test isperformed on a sample of soil. The followingvalues are given:Length of specimen = 8 in.• Area of soil specimen = 1.6 in^2• Area of standpipe = 0.06 in^2• Head difference at time t=0 = 20 in%3D• Head difference at time t=180 sec = 12 ina. Find the coefficient of permeability of soilb. Compute the rate of flow of water in the soil

To find coefficient of permeability and flow rate

Answered: A falling head hydraulic conductivity…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The cross-sectional area A(x) of a vertical funnel-shape soil specimen of height 2 ft in the 2 constant-head test (see figure below) varies as A(x) = - sq ft where x (in ft) is measured from x+1 the top of the soil region. Knowing the downward flow rate q must be constant at any soil cross- section and the soil's average permeability coefficient k is 0.3ft/sec, obtain (a) the 1-D equation of continuity with Darcy's law in terms of the total head h(x) and the unknown steady flow rate q, (b) the hydraulic boundary conditions on h(x) at the top (x=0) and bottom (x=2') of the soil, (c) the complete solution for h(x) in the soil zone by applying its boundary conditions at .x=0 and 2' in (b), and check that the solution satisfies the conditions of (b). Plot it over the range of 0 ≤ x ≤2' of the soil region. (d) the pressure elevation head he(x) over 0 ≤ x ≤ 2' in the soil and plot it. (e) the pressure head hp(x) in the soil and plot it. ▼ water soil 2.5' 2' ← datum
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Q1/ specimen of the fine-grained soil, 75 mm in diameter and 20 mm thick was tested in an oedometer in a laboratory. At applying pressure (240 kN/m²), the time with dial gauge readings are: Time (min) 0 Settlement (mm) 0 0.25 1 0.22 0.42 4 9 0.6 0.71 16 0.79 36 64 100 0.86 0.91 1.04 d 1- Find Coefficient of consolidation in cm²/s using root time and TV90% = 0.848. Scanned by TapScanner
3. Figure below shows layers of soil in a tube that is 100mm x 100mm in cross section. Water is supplied at a constant head difference of 400 mm across the sample. The hydraulic conductivities of the soils in the direction of flow through them are as follows. k (cm/sec) 1X10-2 Porosity, n (%) 25 Soil A В ЗX10-3 32 4.9X10-4 22
PROBLEM C For 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 42.0 sq.mm 1050.00 sq.mm Area of standpipe Area of specimen A. Compute for the hydraulic conductivity of the soil in cm/sec. B. Determine the seepage velocity if n=0.35 C. Determine the head difference at t = 120 sec
PROBLEM D For a falling head laboratory test, the following are the given values: • Length of soil specimen 480.0 mm Initial head 700.00 mm = Final head = 395.00 mm Duration of test = 5.5 mins 0.97 sq.cm Area of standpipe Area of specimen 18.0 sq.cm A. Compute for the hydraulic conductivity of the soil in cm/sec. B. Determine the head di fference at t = 3.50 mins.
A settling basin is designed with a loading rate of 25 m³ /m².day. The depth of 0.997, the basin is 2 m deep. If the specific gravity of the particles is 1.2 and water = and u= 1.027. Determine the overall removal obtained for a suspension for data are shown below. Time (min) Concentration (ppm) 80 100 180 168 0 60 189 300 130 156 420 27 240 200 111 78
2. 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 =.
Problem (2) The following data are for a variable head permeability test: Area of soil specimen=1200mm? Length of the soil specimen = 150mm Area of the standpipe = 1.3cm² At time t=0, head difference = 750mm At time t=2min, head difference = 500mm 2 %3D a) Find the hydraulic conductivity of the soil in cm/min.
Calculate the hydraulic conductivity of the soil in cm/sec. Determine the seepage velocity, in cm/sec, if the porosity of soil is 0.25. Find the head difference, in mm, at t = 100 seconds.
A cylindrical soil sample with length = 15cm and diameter = 4cm was taken from a site where a groundwater contamination piume was found. The sample was tested in the lab to determine its hydraulic conductivity. A hydraulic gradient of 0.05 was applied across the sample, and a flow rate of 0.025 cm³/sec was measured. Calculate the hydraulic conductivity of the soil sample using Darcy's law.
The figure shows a granular soil in a tank having a downward seepage. The water level in the tank is held constant by adjusting the supply from the top and the outflow at the bottom. The void ratio of the soil is 0.50 and the specific gravity is 2.7. H,0 0.8 m 1.1 m A 3.6 m 5.4 m B C Il a plezometer is placed at point B, to what height the water will rise above this point?

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