4_engineering geology and soil mechanics_chapter 5_permeability and seepage

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    6.18.

    6.18

    Page 27 of 32

    For the case presented

    at page 29 of 32

    CHAPTER 5

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    Chapter 5 Ground Water, Permeability and Seepage Engineering Geology & Soil Mechanics

    Soil Mechanics_Chapter 5_Class Practice_2014

    Chapter 5Ground Water, Permeability and Seepage

    Class Practice

    Q.1 A laboratory set-up as shown in the diagrammatic sketch in Figure Q.1 was used for

    determination of the coefficient of permeability of an undisturbed soil sample

    obtained from the field. The test results are given in the diagram.

    (i) Determine the hydraulic conductivity of the soil in mm/min.

    (ii) Find the seepage velocity of water in a soil column if the soil porosity equals

    to 0.35 and the hydraulic gradient across is unity.

    Q = 3.2 litre

    in 650 sec

    Cylinder

    D = 0.1m

    SOIL

    0.5 m

    L = 0.25 m

    Not to Scale

    Figure No. Q.1

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    Chapter 5 Ground Water, Permeability and Seepage Engineering Geology & Soil Mechanics

    Soil Mechanics_Chapter 5_Class Practice_2014

    Q.2 A pumping test was carried out in a confined aquifer of the construction site, the

    depth of a pump well is 10m and the thickness of an impermeable stratum above

    the confined aquifer is 7m. The top level of the impermeable stratum is the

    existing ground surface. The following data and results are collected.

    Volume of ground water collected from the pump well = 0.04 m3

    Time for collection of ground water = 65 minutes

    Thickness of aquifer = 3 m

    Distance between pump well and observation well 1 = 4 m

    Distance between pump well and observation well 2 = 8 m

    Measured depth of ground water level in

    observation well 1 from existing ground surface = 5 mMeasured depth of ground water level in

    observation well 2 from existing ground surface = 2 m

    Based on the above information, determine the coefficient of permeability of the soil.

    Chapter 5 Ground Water, Permeability and Seepage

    Class Practice

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    Chapter 5 Ground Water, Permeability and Seepage Engineering Geology & Soil Mechanics

    Soil Mechanics_Chapter 5_Class Practice_2014

    Q.3 The site condition as in Figure Q3, a 10.0 m thick layer of sandy soil overlies an

    impermeable rock. Ground water level is at a depth of 1.85 m below the top of the soil.

    Water was pumped out of the soil from a central well at the rate of 6.5 m3/minute and

    the drawdown of the water table was noted in two observation wells. These two wells

    were on a radial line from the centre of the main well at distances of 4.40 m and 35.00

    m. When a steady state was achieved, the drawdowns of water level in the well

    nearest to the pump was 3.50 m and in the furthest well was 1.00 m below initial

    water table. You are asked to determine with detail calculations on the following:

    (i) the coefficient of permeability (in m/s) for the sandy soil deposit.

    (ii)

    the drawdown in a new observation well if it was located 20 m from the

    pumping well.

    (iii) the radius of influence due to the field pumping test.

    Figure Q3

    Chapter 5 Ground Water, Permeability and Seepage - Class Practice

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