1. (4 points) In an experiment, ground water flows through a sediment column (43

Question

1. (4 points) In an experiment, ground water flows through a sediment column (43.5 cm in length and 5 cm in diameter) at a rate of 4.4 ml/min (volumetric discharge). The porosity of the sediment is 0.4. Calculate the Darcy velocity and linear ground water velocity. If the hydraulic conductivity is 0.11 cm/s, calculate the hydraulic gradient. 2. (3 points) The hydraulic conductivity of a coarse sand was measured in a laboratory permeameter and found to be 1.02x10 cm/s at 25°C (A) What is the intrinsic permeability in cm"?

Explanation / Answer

Ans-

We know that Darcy velocity v=ki

Where k is Hydraulic conductivity and I is gradient

The first step is the calculation of gradient:

Use the formula - I=Q/ka

Q- flow rate

A cross section area

K conductivity

I= 4.4/.11*(2rH)

=4.4/.11*682.95

I=.058569

Put this in Darcy velocity-

v=ki

= .11*.058569

=.006443 cm/minute

Linear velocity- =v/N

Here v- Darcy velocity

n- porosity

=.006443/.4

=0.016107 cm/minute

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