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Coefficient of Permeability when Discharge is Considered Formula

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The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient. Check FAQs

k = q \cdot \frac{L stream}{(h o - h 1) \cdot b}

k - Coefficient of Permeability?q - Discharge per Unit Width of Aquifer?L_stream - Length between Upstream and Downstream?h_o - Piezometric Head at Upstream End?h₁ - Piezometric Head at Downstream End?b - Aquifer Thickness?

Coefficient of Permeability when Discharge is Considered Example

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Here is how the Coefficient of Permeability when Discharge is Considered equation looks like with Values.

Here is how the Coefficient of Permeability when Discharge is Considered equation looks like with Units.

Here is how the Coefficient of Permeability when Discharge is Considered equation looks like.

0.5008 = 30 \cdot \frac{4.09}{(12 - 5) \cdot 35}

0.5008m/s = 30m³/s \cdot \frac{4.09m}{(12m - 5m) \cdot 35m}

0.5008 = 30 \cdot \frac{4.09}{(12 - 5) \cdot 35}

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Coefficient of Permeability when Discharge is Considered Solution

Follow our step by step solution on how to calculate Coefficient of Permeability when Discharge is Considered?

FIRST Step Consider the formula

k = q \cdot \frac{L stream}{(h o - h 1) \cdot b}

Next Step Substitute values of Variables

∴

k = 30m³/s \cdot \frac{4.09m}{(12m - 5m) \cdot 35m}

Next Step Prepare to Evaluate

∴

k = 30 \cdot \frac{4.09}{(12 - 5) \cdot 35}

Next Step Evaluate

∴

k = 0.500816326530612m/s

LAST Step Rounding Answer

∴

k = 0.5008m/s

Coefficient of Permeability when Discharge is Considered Formula Elements

Variables

Coefficient of Permeability

The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient.

Symbol: k

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability

Discharge per Unit Width of Aquifer

The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.

Symbol: q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge per Unit Width of Aquifer

Length between Upstream and Downstream

The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.

Symbol: L_stream

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length between Upstream and Downstream

Piezometric Head at Upstream End

The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum.

Symbol: h_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Piezometric Head at Upstream End

Piezometric Head at Downstream End

The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.

Symbol: h₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Piezometric Head at Downstream End

Aquifer Thickness

The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Aquifer Thickness

Other formulas in Confined Groundwater Flow between Water Bodies category

Go Equation of Hydraulic Grade Line in Confined Groundwater Flow

P = h o - (\frac{h o - h 1}{L stream}) \cdot x

Go Discharge per unit width of aquifers

q = (\frac{h o - h 1}{L stream}) \cdot k \cdot b

Go Aquifer Thickness when Discharge is Considered

b = q \cdot \frac{L stream}{(h o - h 1) \cdot k}

Go Length when Discharge per Unit Width of Aquifer is Considered

L stream = (\frac{h o - h 1}{q}) \cdot k \cdot b

How to Evaluate Coefficient of Permeability when Discharge is Considered?

Coefficient of Permeability when Discharge is Considered evaluator uses Coefficient of Permeability = Discharge per Unit Width of Aquifer*Length between Upstream and Downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Aquifer Thickness) to evaluate the Coefficient of Permeability, The Coefficient of Permeability when Discharge is Considered formula is defined as the measure of how easily a fluid can flow through a porous medium, such as soil or rock, as the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient and at a standard temperature, usually 20°C. Coefficient of Permeability is denoted by k symbol.

How to evaluate Coefficient of Permeability when Discharge is Considered using this online evaluator? To use this online evaluator for Coefficient of Permeability when Discharge is Considered, enter Discharge per Unit Width of Aquifer (q), Length between Upstream and Downstream (L_stream), Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁) & Aquifer Thickness (b) and hit the calculate button.

FAQs on Coefficient of Permeability when Discharge is Considered

What is the formula to find Coefficient of Permeability when Discharge is Considered?

The formula of Coefficient of Permeability when Discharge is Considered is expressed as Coefficient of Permeability = Discharge per Unit Width of Aquifer*Length between Upstream and Downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Aquifer Thickness). Here is an example- 1.168571 = 30*4.09/((12-5)*35).

How to calculate Coefficient of Permeability when Discharge is Considered?

With Discharge per Unit Width of Aquifer (q), Length between Upstream and Downstream (L_stream), Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁) & Aquifer Thickness (b) we can find Coefficient of Permeability when Discharge is Considered using the formula - Coefficient of Permeability = Discharge per Unit Width of Aquifer*Length between Upstream and Downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Aquifer Thickness).

Can the Coefficient of Permeability when Discharge is Considered be negative?

No, the Coefficient of Permeability when Discharge is Considered, measured in Speed cannot be negative.

Which unit is used to measure Coefficient of Permeability when Discharge is Considered?

Coefficient of Permeability when Discharge is Considered is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Coefficient of Permeability when Discharge is Considered can be measured.

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Coefficient of Permeability when Discharge is Considered Formula

Coefficient of Permeability when Discharge is Considered Example

Coefficient of Permeability when Discharge is Considered Solution

Coefficient of Permeability when Discharge is Considered Formula Elements

Other formulas in Confined Groundwater Flow between Water Bodies category

How to Evaluate Coefficient of Permeability when Discharge is Considered?

FAQs on Coefficient of Permeability when Discharge is Considered

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