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Back to Practice Questions
CivilSoil Mechanics
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Which of the following soil is practically impermeable?

A

gravel

B

sand

C

clay

D

Coarse sand

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleCivilSoil Mechanics
Option C

clay

Quick Summary:

Clay is practically impermeable because its particles are extremely small (typically <0.002┬аmm< 0.002 \text{ mm}<0.002┬аmm), resulting in very small void spaces that restrict the flow of water ┬╖ Due to the high specific surface area, water is held tightly around particles by adsorption forces, creating a very low coefficient of permeability (kkk).

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Clay is practically impermeable because its particles are extremely small (typically <0.002┬аmm< 0.002 \text{ mm}<0.002┬аmm), resulting in very small void spaces that restrict the flow of water ┬╖ Due to the high specific surface area, water is held tightly around particles by adsorption forces, creating a very low coefficient of permeability (kkk).

ЁЯФв Key Formulas

v=kiv = kiv=ki тАФ Darcy's Law, where vvv is discharge velocity, kkk is permeability coefficient, and iii is hydraulic gradient.

k=QiAk = \frac{Q}{iA}k=iAQтАЛ тАФ Calculation of permeability based on flow rate QQQ and cross-sectional area AAA.

тЪЩя╕П Working Principle

The permeability of soil is governed by Darcy's Law: v=kiv = kiv=ki. In clay, the pore channels are so narrow that the viscous drag forces of water molecules against the particle surfaces dominate over the gravitational flow ┬╖ This leads to a permeability coefficient often as low as 10тИТ7┬аto┬а10тИТ9┬аcm/s10^{-7} \text{ to } 10^{-9} \text{ cm/s}10тИТ7┬аto┬а10тИТ9┬аcm/s, effectively making it an aquiclude or an impermeable layer in engineering applications.

ЁЯУМ Key Points
  • тЦ╕

    Clay has high plasticity and small particle size compared to gravel and sand.

  • тЦ╕

    The permeability of soil depends on void ratio (eee) and particle size (D10D_{10}D10тАЛ); per Hazen's formula kтИЭD102k \propto D_{10}^2kтИЭD102тАЛ.

  • тЦ╕

    Impermeability makes clay ideal for liners in landfills and dams.

тЬЕ Advantages
  • тЦ╕

    Excellent for water-tight cores in earthen dams.

  • тЦ╕

    High mineral surface area allows for cation exchange capacity.

тЭМ Disadvantages / Limitations
  • тЦ╕

    High susceptibility to volume change (swelling/shrinkage).

  • тЦ╕

    Extremely slow rate of consolidation under load.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Core of earth dams

  • тЦ╕

    Landfill liners

  • тЦ╕

    Grouting for seepage control

ЁЯУД Additional Information
  • тЦ╕

    Gravel and sand are considered highly permeable soils, often classified as pervious.

  • тЦ╕

    Clay is defined by particle sizes typically smaller than $0.002 \text{ mm}$ (clay fraction) in soil classification systems like the ISSS.

ЁЯУК Diagram / Illustration
Darcy's Law for Permeabilityv (Discharge Velocity)k (Coefficient) ├Ч i (Hydraulic Gradient)Clay: k тЙИ 10тБ╗тБ╖ to 10тБ╗тБ╣ cm/s
тЬЕ

C is correct тАФ Clay particles are so fine and their interconnected voids so small that water movement is negligible, classifying it as practically impermeable.

Core Concepts Used
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Permeability of soils Darcy's Law Hydraulic Conductivity
ЁЯТб EXAM TIP

Always remember that permeability kkk is proportional to the square of particle size (D102D_{10}^2D102тАЛ); thus, the transition from sand to clay causes a drastic drop in kkk by several orders of magnitude.

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