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The approximate ratio of the permeability of two clean soils having D10 = 0.6 mm and D10 = 0.3 mm is __________.
Correct answer is '4'. Can you explain this answer?
Verified Answer
The approximate ratio of the permeability of two clean soils having D1...
We know that

where,
  • k = coefficient of permeability,
  • C = constant that depends on factors like soil type (assume it's the same for both soils since they are clean and similar),
  • D10 = effective grain size (in mm).
The ratio of permeabilities can be expressed as:

Therefore, approximate ratio will be 4
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Most Upvoted Answer
The approximate ratio of the permeability of two clean soils having D1...
Understanding Soil Permeability
Permeability is a crucial property of soils that indicates how easily water can flow through them. It is often influenced by the soil grain size, with finer soils generally having lower permeability. D10 represents the diameter at which 10% of the soil particles are finer, serving as a key parameter in determining permeability.
Comparing Soil Types
In this case, we are comparing two clean soils with different D10 values:
  • Soil A: D10 = 0.6 mm
  • Soil B: D10 = 0.3 mm

Permeability Ratio Calculation
The relationship between grain size and permeability is often approximated by the formula:
  • Permeability (k) ∝ D10²

Using this relationship, we can calculate the approximate permeability for both soils:
  • For Soil A: k1 ∝ (0.6)² = 0.36
  • For Soil B: k2 ∝ (0.3)² = 0.09

Finding the Ratio
To find the ratio of the permeabilities of the two soils (k1/k2):
  • Ratio = k1/k2 = 0.36 / 0.09 = 4

Conclusion
Thus, the approximate ratio of the permeability of the two clean soils is 4. This means Soil A, with a larger D10, is approximately four times more permeable than Soil B, highlighting the significant impact of particle size on soil permeability.
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The approximate ratio of the permeability of two clean soils having D10 = 0.6 mm and D10 = 0.3 mm is __________.Correct answer is '4'. Can you explain this answer?
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