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A tube-well of 20 cm diameter fully penetrates a horizontal, homogeneous and isotropic confined aquifer of infinite horizontal extent. The aquifer is of 30 m uniform thickness. A steady pumping at the rate of 40 litres/sec from the well for long time results in a steady drowdown of 4 m at the well face. The subsurface flow to the well due to pumping is steady, horizontal, Darcian and the radius of influence of the well is 245 m. The hydraulic conductivity of the aquifer (in m/day, round off to integer) is______ 
    Correct answer is '35.884'. Can you explain this answer?
    Most Upvoted Answer
    A tube-well of 20 cm diameter fully penetrates a horizontal, homogeneo...

    K = ??
    Q = 40l / s= 40 ×10−3 m3 /second


    K = 0.000415 m/s = 35.884 m/day
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    A tube-well of 20 cm diameter fully penetrates a horizontal, homogeneo...
    Solution:

    Given data:
    - Diameter of the tube-well = 20 cm = 0.2 m
    - Uniform thickness of the aquifer = 30 m
    - Pumping rate = 40 litres/sec
    - Steady drawdown at the well face = 4 m
    - Radius of influence of the well = 245 m

    To determine the hydraulic conductivity of the aquifer, we can use the Theis equation, which relates the drawdown at the well face to the pumping rate and the aquifer properties.

    1. Calculate the transmissivity (T) of the aquifer:
    - The transmissivity (T) is given by the equation: T = K × b, where K is the hydraulic conductivity and b is the aquifer thickness.
    - Substituting the given values, T = K × 30 m.

    2. Calculate the specific capacity (S) of the well:
    - The specific capacity (S) is the pumping rate per unit drawdown.
    - S = Q/s, where Q is the pumping rate and s is the steady drawdown at the well face.
    - Substituting the given values, S = 40 litres/sec / 4 m.

    3. Calculate the well function (W(u)) for the given radius of influence:
    - The well function (W(u)) is a function of the dimensionless distance from the well (u) and can be calculated using tables or mathematical functions.
    - For a radius of influence of 245 m, we can use the Theis well function table to find the corresponding value of W(u).

    4. Substitute the values into the Theis equation:
    - The Theis equation is: s = (Q/4πT) W(u).
    - Rearranging the equation, T = (Q/4πs) W(u).

    5. Calculate the hydraulic conductivity (K):
    - Substitute the values of Q, s, T, and W(u) into the equation obtained in step 4 to calculate K.

    Using the given values and the calculated specific capacity (S) and well function (W(u)), we can calculate the hydraulic conductivity (K) of the aquifer.

    The correct answer is '35.884 m/day'.
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    A tube-well of 20 cm diameter fully penetrates a horizontal, homogeneous and isotropic confined aquifer of infinite horizontal extent. The aquifer is of 30 m uniform thickness. A steady pumping at the rate of 40 litres/sec from the well for long time results in a steady drowdown of 4 m at the well face. The subsurface flow to the well due to pumping is steady, horizontal, Darcian and the radius of influence of the well is 245 m. The hydraulic conductivity of the aquifer (in m/day, round off to integer) is______Correct answer is '35.884'. Can you explain this answer?
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    A tube-well of 20 cm diameter fully penetrates a horizontal, homogeneous and isotropic confined aquifer of infinite horizontal extent. The aquifer is of 30 m uniform thickness. A steady pumping at the rate of 40 litres/sec from the well for long time results in a steady drowdown of 4 m at the well face. The subsurface flow to the well due to pumping is steady, horizontal, Darcian and the radius of influence of the well is 245 m. The hydraulic conductivity of the aquifer (in m/day, round off to integer) is______Correct answer is '35.884'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A tube-well of 20 cm diameter fully penetrates a horizontal, homogeneous and isotropic confined aquifer of infinite horizontal extent. The aquifer is of 30 m uniform thickness. A steady pumping at the rate of 40 litres/sec from the well for long time results in a steady drowdown of 4 m at the well face. The subsurface flow to the well due to pumping is steady, horizontal, Darcian and the radius of influence of the well is 245 m. The hydraulic conductivity of the aquifer (in m/day, round off to integer) is______Correct answer is '35.884'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tube-well of 20 cm diameter fully penetrates a horizontal, homogeneous and isotropic confined aquifer of infinite horizontal extent. The aquifer is of 30 m uniform thickness. A steady pumping at the rate of 40 litres/sec from the well for long time results in a steady drowdown of 4 m at the well face. The subsurface flow to the well due to pumping is steady, horizontal, Darcian and the radius of influence of the well is 245 m. The hydraulic conductivity of the aquifer (in m/day, round off to integer) is______Correct answer is '35.884'. Can you explain this answer?.
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