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FINAL TERM: QUIZ No.2 - PERMEABILITY

Total questions: 11

Worksheet time: 2hrs 55mins

Name
Class
Date
1.

The hydraulic conductivity of a clayey soil is 4 x 10-7 cm/sec. The viscosity of water at 25oC is 0.0911 x 10-4

g-sec/cm2. Calculate the absolute permeability KK ?

a)

3.644 x 10-12 cm2

b)

0.3644 x 10-12 cm2

c)

3.644 x 10-11 cm2

d)

3.644 x 10-11 cm2

2.

Find the flow rate in m3/sec/m length (at right angles to the cross section shown) through the permeable soil layer shown in the figure. given H = 7 m, H1 = 2 m, h = 3 m, L = 40 m, \propto = 7o and k = 0.07 cm/sec.

a)

1.0344 x 10-4 m3/sec/m

b)

1.1988 x 10-4 m3/sec/m

c)

1.0344 x 10-3 m3/sec/m

d)

1.1988 x 10-3 m3/sec/m

3.

Refer to the constant-head permeability test arrangement shown in the figure. A test gives these values:

L = 18 in

A = 3.5 in2

Constant head difference , h = 28 in

Water collected in 3 min = 21.58 in3

Calculate the hydraulic conductivity in in/sec.

a)

0.022 in/sec

b)

0.22 in/sec

c)

0.022 cm/sec

d)

0.22 cm/sec

4.

Refer to the constant-head permeability test arrangement shown in the figure. A test gives these values:

L = 18 in

A = 3.5 in2

Constant head difference , h = 28 in

Water collected in 3 min = 21.58 in3

Void ratio = 0.58

Calculate the discharge velocity in in/sec.

a)

0.0342 in/sec

b)

0.342 in/sec

c)

0.0342 cm/sec

d)

0.342 cm/sec

5.

Refer to the constant-head permeability test arrangement shown in the figure. A test gives these values:

L = 18 in

A = 3.5 in2

Constant head difference , h = 28 in

Water collected in 3 min = 21.58 in3

Void ratio = 0.58

Calculate the seepage velocity in in/sec.

a)

0.093 n/sec

b)

0.93 in/sec

c)

0.093 cm/sec

d)

0.93 cm/sec

6.

For a falling head permeability test, the following values are given.

Length of specimen = 20 in.

Area of soil specimen = 4 in2

Area of standpipe = 0.02 in2

Head difference at t = 0 = 30 in.

Head difference at time t = 10 min = 12 in.

Calculate the hydraulic conductivity in in/sec.

a)

1.53 x 10-4 in/sec

b)

9.16 x 10-3 in/min

c)

0.153 x 10-4 in/sec

d)

0.916 x 10-3 in/min

7.

For a falling head permeability test, the following values are given.

Length of specimen = 20 in.

Area of soil specimen = 4 in2

Area of standpipe = 0.02 in2

Head difference at t = 0 = 30 in.

Head difference at time t = 10 min = 12 in.

What was the head difference at time t = 5 min?

a)

18.96 in

b)

19.97 in

c)

20.96 in

d)

17.97 in

8.

A layered soil is shown in Figure. Given that:

H1 = 1.5 m , K = 10-5 cm/sec

H2 = 2.5 m, K = 3.0 x 10-3 cm/sec

H3 = 3.0 m, K = 3.5 x 10-5 cm/sec

Calculate the equivalent horizontal hydraulic conductivity.

a)

1.088 x 10-3 cm/sec

b)

0.1088 x 10-3 cm/sec

c)

10.88 x 10-3 cm/sec

d)

108.8 x 10-3 cm/sec

9.

A layered soil is shown in Figure. Given that:

H1 = 1.5 m , K = 10-5 cm/sec

H2 = 2.5 m, K = 3.0 x 10-3 cm/sec

H3 = 3.0 m, K = 3.5 x 10-5 cm/sec

Calculate the equivalent vertical hydraulic conductivity.

a)

2.96 x 10-5 cm/sec

b)

0.296 x 10-5 cm/sec

c)

29.60 x 10-5 cm/sec

d)

296.00 x 10-5 cm/sec

10.

A layered soil is shown in Figure. Given that:

H1 = 1.5 m , K = 10-5 cm/sec

H2 = 2.5 m, K = 3.0 x 10-3 cm/sec

H3 = 3.0 m, K = 3.5 x 10-5 cm/sec

Estimate the ratio of equivalent hydraulic conductivity , KH(eq)/Hv(eq).

a)

36.79

b)

366.79

c)

136.79

d)

73.57

11.

A permeable soil layer is underlain by an impervious layer as shown in figure, with K = 4.5 x 10-5 m/sec for the permeable layer, calculate the rate of seepage through it in m3/hr/m width if H = 4 m and \propto = 10o

a)

0.1108 m3/hr/m

b)

0.0789 m3/hr/m

c)

1.108 m3/hr/m

d)

0.789 m3/hr/m