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Question

When does a quick sand condition is developed in soil?

The correct answer is

Head causing upward flow is increased

Understanding Quicksand Condition in Soil

The quicksand condition, also known as boiling or piping in certain contexts, is a phenomenon that occurs in saturated, non-cohesive soils (like sand or silt) when the effective stress within the soil is reduced to zero. This loss of effective stress causes the soil particles to lose contact with each other, suspending them in the upward flowing water. The soil mass then behaves like a viscous fluid, losing its shear strength and bearing capacity.

What is Effective Stress?

Effective stress ($\sigma'$) is the stress carried by the soil skeleton, which is the difference between the total stress ($\sigma$) and the pore water pressure ($u$). It is the effective stress that determines the shear strength of the soil.

The formula for effective stress is:

$$\sigma' = \sigma - u$$

Total stress is the total pressure exerted on the soil mass due to the weight of the soil itself and any surcharge loads. Pore water pressure is the pressure of the water within the pores of the soil.

Role of Seepage and Hydraulic Head

Water flow through soil, known as seepage, is caused by a difference in hydraulic head. When water flows through the soil, it exerts a force on the soil particles in the direction of flow. This force is called the seepage force.

The hydraulic head is the sum of the pressure head, elevation head, and velocity head (velocity head is often negligible in slow groundwater flow).

$$\text{Hydraulic Head} (h) = \text{Pressure Head} \left(\frac{u}{\gamma_w}\right) + \text{Elevation Head} (z)$$

where $u$ is pore water pressure and $\gamma_w$ is the unit weight of water.

How Upward Flow Causes Quicksand Condition

Consider a layer of soil. Under normal conditions, the effective stress is positive, providing stability. When water flows upwards through the soil, the seepage force acts upwards, opposite to the direction of the soil particles' weight. This upward seepage force increases the pore water pressure above the hydrostatic pressure level.

An increase in pore water pressure ($u$) leads to a decrease in the effective stress ($\sigma' = \sigma - u$).

The critical condition for quicksand is reached when the upward seepage force becomes equal to the submerged weight of the soil. At this point, the effective stress becomes zero ($\sigma' = 0$).

The hydraulic gradient ($i$) is the loss of head per unit length of flow path. The critical hydraulic gradient ($i_c$) at which quicksand occurs can be approximated by:

$$i_c = \frac{G_s - 1}{1 + e}$$

where $G_s$ is the specific gravity of soil solids and $e$ is the void ratio.

The quicksand condition develops when the upward hydraulic gradient reaches the critical hydraulic gradient ($i \ge i_c$). This critical gradient is achieved when the hydraulic head causing upward flow is significantly increased.

Analyzing the Options for Quicksand Development

Let's examine the provided options:

  • Head causing downward flow is decreased: Downward flow increases effective stress, making quicksand less likely. Decreasing the head causing downward flow would reduce this beneficial effect, but it doesn't directly cause quicksand unless it somehow leads to upward flow.
  • Head causing upward flow is increased: An increased head causing upward flow leads to a higher upward hydraulic gradient. When this upward gradient equals or exceeds the critical hydraulic gradient, the pore water pressure increases to the point where effective stress becomes zero, leading to the quicksand condition.
  • Head causing upward flow is decreased: Decreasing the head causing upward flow reduces the upward hydraulic gradient, which increases the effective stress and makes quicksand less likely.
  • Head causing downward flow is increased: Increasing the head causing downward flow increases downward seepage force, which further increases effective stress and prevents the quicksand condition.

Based on the analysis, the quicksand condition is directly caused by a significant increase in the hydraulic head driving upward water flow through the soil.

Revision Table: Quicksand Condition Summary

Factor Effect on Effective Stress ($\sigma'$) Likelihood of Quicksand
Upward Seepage Force Decreases $\sigma'$ Increases
Downward Seepage Force Increases $\sigma'$ Decreases
Increased Head (Upward Flow) Increases upward seepage force, decreases $\sigma'$ Increases significantly
Decreased Head (Upward Flow) Decreases upward seepage force, increases $\sigma'$ Decreases
Increased Head (Downward Flow) Increases downward seepage force, increases $\sigma'$ Decreases

Additional Information on Quicksand Conditions

While commonly called "quicksand," it's important to note that it's a condition, not a type of soil. Any granular soil can experience quicksand conditions if the appropriate hydraulic conditions are met. This phenomenon is often observed in situations like excavation dewatering, cofferdam construction, or near riverbanks during floods, where upward seepage can be significant.

Methods to prevent quicksand include reducing the upward hydraulic gradient (e.g., by lowering the water level outside the excavation), increasing the effective stress (e.g., by applying a surcharge load), or using filter layers to prevent soil particle movement.

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Important Questions from Seepage Analysis

  1. Calculate the shape factor of a flow net having four flow channels and sixteen equipotential drops.

  2. A phreatic line is defined as the line within a dam section below which there is/are-

  3. If the void ratio and discharge velocity for soil is 0.5 and 6 × 10-7 m/s respectively, what is the value of seepage velocity (m/s)?

  4. Maximum permissible upward gradient in a previous sand of porosity n = 45%, specific gravity Gs = 2.65 with a factor of safety 4 will be

  5. Which is not a method of obtaining flow nets?

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