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Embankment Compression given Induced Pore Pressure Formula

GoEmbankment Compression given Henry's Constant of Solubility Formula

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Embankment Compression is soil settlement due to applied load on filled ground, causing volume reduction and potential structural issues. Check FAQs

Δ = \frac{u \cdot (V a + (H \cdot V w))}{u + p air}

Δ - Embankment Compression?u - Induced Pore Pressure?V_a - Volume of Free Air Voids?H - Henry's Constant?V_w - Volume of Pore Water?p_air - Air Pressure?

Embankment Compression given Induced Pore Pressure Example

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Here is how the Embankment Compression given Induced Pore Pressure equation looks like with Values.

Here is how the Embankment Compression given Induced Pore Pressure equation looks like with Units.

Here is how the Embankment Compression given Induced Pore Pressure equation looks like.

1.6846 = \frac{3.001 \cdot (2.01 + (0.023 \cdot 5))}{3.001 + 0.08}

1.6846m³ = \frac{3.001Pa \cdot (2.01m³ + (0.023 \cdot 5m³))}{3.001Pa + 0.08kgf/m²}

1.6846 = \frac{3.001 \cdot (2.01 + (0.023 \cdot 5))}{3.001 + 0.08}

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Embankment Compression given Induced Pore Pressure Solution

Follow our step by step solution on how to calculate Embankment Compression given Induced Pore Pressure?

FIRST Step Consider the formula

Δ = \frac{u \cdot (V a + (H \cdot V w))}{u + p air}

Next Step Substitute values of Variables

∴

Δ = \frac{3.001Pa \cdot (2.01m³ + (0.023 \cdot 5m³))}{3.001Pa + 0.08kgf/m²}

Next Step Convert Units

∴

Δ = \frac{3.001Pa \cdot (2.01m³ + (0.023 \cdot 5m³))}{3.001Pa + 0.7845Pa}

Next Step Prepare to Evaluate

∴

Δ = \frac{3.001 \cdot (2.01 + (0.023 \cdot 5))}{3.001 + 0.7845}

Next Step Evaluate

∴

Δ = 1.68460470021125m³

LAST Step Rounding Answer

∴

Δ = 1.6846m³

Embankment Compression given Induced Pore Pressure Formula Elements

Variables

Embankment Compression

Embankment Compression is soil settlement due to applied load on filled ground, causing volume reduction and potential structural issues.

Symbol: Δ

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Embankment Compression

Induced Pore Pressure

Induced Pore Pressure occurs when the saturated soil is stressed and when the porosity cannot increase.

Symbol: u

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Induced Pore Pressure

Volume of Free Air Voids

Volume of Free Air Voids is spaces in a material not filled with solid particles, indicating porosity and permeability.

Symbol: V_a

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Free Air Voids

Henry's Constant

Henry's Constant is the ratio of the concentration of the gas in the liquid phase to its partial pressure in the gas phase.

Symbol: H

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Henry's Constant

Volume of Pore Water

Volume of Pore Water is the amount of water within the voids of a soil or rock, excluding solid particles.

Symbol: V_w

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pore Water

Air Pressure

Air Pressure is the pressure exerted by air on the walls in which it is confined.

Symbol: p_air

Measurement: PressureUnit: kgf/m²

Note: Value should be greater than 0.

Formulas to find Air Pressure

Other Formulas to find Embankment Compression

Go Embankment Compression given Henry's Constant of Solubility

Δ = \frac{u \cdot (V a + (0.02 \cdot V w))}{u + p air}

Other formulas in Stability of Slopes In Earthen Dams category

Go Factor of Safety of Earth Dam

f s = \frac{(c' \cdot L') + ((ΣN - ΣU) \cdot \tan (\frac{φ' \cdot π}{180}))}{ΣT}

Go Sum of All Tangential Component given Factor of Safety of Earth Dam

ΣT = \frac{(c' \cdot L') + ((ΣN - ΣU) \cdot \tan (\frac{φ' \cdot π}{180}))}{f s}

Go Effective Cohesion given Factor of Safety of Earth Dam

c' = \frac{(f s \cdot ΣT) - ((ΣN - ΣU) \cdot \tan (\frac{φ' \cdot π}{180}))}{L'}

Go Length of Slip Circle given Factor of Safety of Earth Dam

L' = \frac{(f s \cdot ΣT) - ((ΣN - ΣU) \cdot \tan (\frac{φ' \cdot π}{180}))}{c'}

How to Evaluate Embankment Compression given Induced Pore Pressure?

Embankment Compression given Induced Pore Pressure evaluator uses Embankment Compression = (Induced Pore Pressure*(Volume of Free Air Voids+(Henry's Constant*Volume of Pore Water)))/(Induced Pore Pressure+Air Pressure) to evaluate the Embankment Compression, The Embankment Compression given Induced Pore Pressure is defined as value of the reduction in volume of an embankment material due to compression, where the compression process is influenced by the solubility of gases in the pore water of the embankment material, considering induced pore pressure. Embankment Compression is denoted by Δ symbol.

How to evaluate Embankment Compression given Induced Pore Pressure using this online evaluator? To use this online evaluator for Embankment Compression given Induced Pore Pressure, enter Induced Pore Pressure (u), Volume of Free Air Voids (V_a), Henry's Constant (H), Volume of Pore Water (V_w) & Air Pressure (p_air) and hit the calculate button.

FAQs on Embankment Compression given Induced Pore Pressure

What is the formula to find Embankment Compression given Induced Pore Pressure?

The formula of Embankment Compression given Induced Pore Pressure is expressed as Embankment Compression = (Induced Pore Pressure*(Volume of Free Air Voids+(Henry's Constant*Volume of Pore Water)))/(Induced Pore Pressure+Air Pressure). Here is an example- 1.684605 = (3.001*(2.01+(0.023*5)))/(3.001+0.784531999999945).

How to calculate Embankment Compression given Induced Pore Pressure?

With Induced Pore Pressure (u), Volume of Free Air Voids (V_a), Henry's Constant (H), Volume of Pore Water (V_w) & Air Pressure (p_air) we can find Embankment Compression given Induced Pore Pressure using the formula - Embankment Compression = (Induced Pore Pressure*(Volume of Free Air Voids+(Henry's Constant*Volume of Pore Water)))/(Induced Pore Pressure+Air Pressure).

What are the other ways to Calculate Embankment Compression?

Here are the different ways to Calculate Embankment Compression-

Embankment Compression=(Induced Pore Pressure*(Volume of Free Air Voids+(0.02*Volume of Pore Water)))/(Induced Pore Pressure+Air Pressure)

Can the Embankment Compression given Induced Pore Pressure be negative?

No, the Embankment Compression given Induced Pore Pressure, measured in Volume cannot be negative.

Which unit is used to measure Embankment Compression given Induced Pore Pressure?

Embankment Compression given Induced Pore Pressure is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Embankment Compression given Induced Pore Pressure can be measured.

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Embankment Compression given Induced Pore Pressure Formula

​GoEmbankment Compression given Henry's Constant of Solubility Formula

Embankment Compression given Induced Pore Pressure Example

Embankment Compression given Induced Pore Pressure Solution

Embankment Compression given Induced Pore Pressure Formula Elements

Other Formulas to find Embankment Compression

Other formulas in Stability of Slopes In Earthen Dams category

How to Evaluate Embankment Compression given Induced Pore Pressure?

FAQs on Embankment Compression given Induced Pore Pressure

Variable Name

GoEmbankment Compression given Henry's Constant of Solubility Formula