Embankment Compression given Induced Pore Pressure Calculator

Embankment Compression Formula:

\[ \Delta = \frac{u \times (V_a + (H \times V_w))}{u + p_{air}} \]

Induced Pore Pressure (u):

Volume of Free Air Voids (V_a):

m³

Henry's Constant (H):

Volume of Pore Water (V_w):

m³

Air Pressure (p_air):

Embankment Compression (Δ):

1. What is Embankment Compression given Induced Pore Pressure?

Definition: This calculator estimates the compression of an embankment based on induced pore pressure, air voids, Henry's constant, pore water volume, and air pressure.

Purpose: It helps geotechnical engineers analyze soil settlement under load, considering pore pressure effects.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \Delta = \frac{u \times (V_a + (H \times V_w))}{u + p_{air}} \]

Where:

\( \Delta \) — Embankment Compression (m³)
\( u \) — Induced Pore Pressure (Pa)
\( V_a \) — Volume of Free Air Voids (m³)
\( H \) — Henry's Constant (±5%)
\( V_w \) — Volume of Pore Water (m³)
\( p_{air} \) — Air Pressure (Pa)

Explanation: The formula accounts for how pore pressure and air pressure interact with air and water volumes in the soil to cause compression.

3. Importance of Embankment Compression Calculation

Details: Proper estimation helps predict settlement, prevent structural damage, and ensure embankment stability under load.

4. Using the Calculator

Tips: Enter all required values with proper units. Henry's Constant has ±5% variability. All values must be ≥ 0 except pore pressure which must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is Henry's Constant in this context?
A: It's the ratio of gas concentration in liquid to its partial pressure in gas phase, typically 0.023±5% for air-water systems.

Q2: How does pore pressure affect compression?
A: Higher induced pore pressure typically increases compression by expanding air/water volumes.

Q3: When would air pressure be significant?
A: In shallow embankments or when air is trapped in the soil matrix.

Q4: Can this be used for unsaturated soils?
A: Yes, as it accounts for both air and water phases in the voids.

Q5: What's the typical range for compression values?
A: Varies widely based on soil type and loading, often millimeters to centimeters per meter of embankment height.