Constant head permeability tests were performed on two soil specimens, S1 and S2. The ratio of height of the two specimens (LS1:LS2) is 1.5

Q. Constant head permeability tests were performed on two soil specimens, S1 and S2. The ratio of height of the two specimens (LS1:LS2) is 1.5, the ratio of the diameter of specimens (DS1:DS2) is 0.5, and the ratio of the constant head (hS1:hS2) applied on the specimens is 2.0. If the discharge from both the specimens is equal, the ratio of the permeability of the soil specimens (kS1:kS2) is

 Solution: 

For constant head permeability test,

k=Q/Lah
Q → discharge
L → length of specimen
a → area of cross-section of specimen
h → constant head

Given,