Falling Head Test

In the falling head test the head is a function of time during testing while water from a standpipe flows through the soil. The falling head test is preferably used for soils with low permeability, i. e. silty or clayey soils (see Fig. 3.8). For such soils the problem of excessively high hydraulic gradients (Fig. 3.7) is avoided as well as the practical issue that, otherwise, the head would fall too rapidly.

Equating the instantaneous flow due flow of water through the specimen accord­ing to Darcy’s law with the flow necessary for continuity gives:

Подпись: VПодпись: *Falling Head TestFig. 3.8 Falling head permeability test

h dh

q = K A = —a 4 L dt

 

(3.9)

 

where q is the flow rate (L3/T), h — h (t) is the head difference (L) at time t, L is the length of the specimen (L), and a and A are the cross sections (L2) of the standpipe and the soil specimen, respectively. Integration of the left side with limits of time from t1 to t2 and on the right side for the corresponding limits of head in the standpipe, h1 and h2, and rearranging results in

 

aL h 1 ln.

A (t2 — t1) h 2

 

(3.10)

 

Updated: 14 ноября, 2015 — 5:32 дп