A sample of clay and a sample of sand have the same specific gravity and void ratio. Their permeabilities would differ because
- ATheir porosities would be different
- BTheir degrees of saturation would be different
- CTheir densities would be different
- DThe size ranges of their voids would be differentCorrect
Solution
Concept
Permeability depends on the size of pores, not on the void ratio alone
Formula
k ∝ D10² (Hazen)
Step-by-step solution
1. Both soils have the same void ratio and specific gravity, so porosity and density are the same. 2. Clay has very small pores and sand has large pores. 3. Permeability varies with the square of the pore size, so it is very different.
Explanation
Permeability depends mainly on the size of the pores (particle size), their shape and connectivity. Soils with the same void ratio can have very different permeabilities when their pore sizes differ.
Shortcut
Same e, different grain size → different k.
Common mistake
Thinking that void ratio alone decides permeability.
Correct answer: D) The size ranges of their voids would be different