Chapter 7, Problem 7.9P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

The following data are for a falling-head permeability test:

• Length of the soil sample = 400 mm

• Area of the soil sample = 7854 mm^{2}

• Diameter of the standpipe = 11 mm

• At time *t* = 0, head difference = 450 mm

• At time *t* = 8 min, head difference = 200 mm

If the test was conducted at 20°C at which *γ _{w}* = 9.789 kN/m

**a.** Determine the absolute permeability of the soil (cm/sec).

**b.** What was the head difference at *t* = 4 min?

(a)

To determine

Find the absolute permeability of the soil.

Explanation

Given information:

The length of the soil sample *L* is 400 mm.

The area of the sample *A* is

The diameter of the standpipe (*d*) is 11 mm.

The head difference

The head difference

The unit weight of water

The dynamic viscosity of water

Calculation:

Determine the area of the standpipe *a* using the relation.

Substitute 11 mm for *d*.

Determine the hydraulic conductivity *k* using the relation.

Substitute *a*, 400 mm for *L*, *A*, 8 min for *t*, 450 mm for

(b)

To determine

Find the head difference at 4 min time duration.

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