Coefficient of Permeability when Discharge is Considered Calculator

✖The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.ⓘ Discharge per Unit Width of Aquifer [q]			+10% -10%
✖The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.ⓘ Length between Upstream and Downstream [L_stream]			+10% -10%
✖The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Upstream End [h_o]			+10% -10%
✖The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Downstream End [h₁]			+10% -10%
✖The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.ⓘ Aquifer Thickness [b]			+10% -10%

✖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.ⓘ Coefficient of Permeability when Discharge is Considered [k]

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Formula

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Coefficient of Permeability when Discharge is Considered

Formula

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

Example

0.500816 m/s = 30 m³/s \cdot \frac{4.09 m}{(12 m - 5 m) \cdot 35 m}

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Coefficient of Permeability when Discharge is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
k = q*L_stream/((h_o-h₁)*b)
This formula uses 6 Variables

Variables Used

Coefficient of Permeability - (Measured in Meter per Second) - 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.
Discharge per Unit Width of Aquifer - (Measured in Cubic Meter per Second) - The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.
Length between Upstream and Downstream - (Measured in Meter) - The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.
Piezometric Head at Upstream End - (Measured in Meter) - The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum.
Piezometric Head at Downstream End - (Measured in Meter) - The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.
Aquifer Thickness - (Measured in Meter) - The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.

STEP 1: Convert Input(s) to Base Unit

Discharge per Unit Width of Aquifer: 30 Cubic Meter per Second --> 30 Cubic Meter per Second No Conversion Required
Length between Upstream and Downstream: 4.09 Meter --> 4.09 Meter No Conversion Required
Piezometric Head at Upstream End: 12 Meter --> 12 Meter No Conversion Required
Piezometric Head at Downstream End: 5 Meter --> 5 Meter No Conversion Required
Aquifer Thickness: 35 Meter --> 35 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = q*L_stream/((h_o-h₁)*b) --> 30*4.09/((12-5)*35)

Evaluating ... ...

k = 0.500816326530612

STEP 3: Convert Result to Output's Unit

0.500816326530612 Meter per Second --> No Conversion Required

FINAL ANSWER

0.500816326530612 ≈ 0.500816 Meter per Second <-- Coefficient of Permeability

(Calculation completed in 00.004 seconds)

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< Confined Groundwater Flow between Water Bodies Calculators

Coefficient of Permeability when Discharge is Considered

Go 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)

Aquifer Thickness when Discharge is Considered

Go Aquifer Thickness = Discharge per Unit Width of Aquifer*Length between Upstream and Downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability)

Discharge per unit width of aquifers

Go Discharge per Unit Width of Aquifer = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Coefficient of Permeability*Aquifer Thickness

Equation of Hydraulic Grade Line in Confined Groundwater Flow

Go Piezometric Head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Flow in 'x' Direction

Coefficient of Permeability when Discharge is Considered Formula

What is Discharge?

In hydrology, discharge is the volumetric flow rate of water that is transported through a given cross-sectional area.

How to Calculate Coefficient of Permeability when Discharge is Considered?

Coefficient of Permeability when Discharge is Considered calculator 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 calculate 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 calculate Coefficient of Permeability when Discharge is Considered using this online calculator? To use this online calculator 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. Here is how the Coefficient of Permeability when Discharge is Considered calculation can be explained with given input values -> 1.168571 = 30*4.09/((12-5)*35).

FAQ

What is Coefficient of Permeability when Discharge is Considered?

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 and is represented as k = q*L_stream/((h_o-h₁)*b) or 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). The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered, The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations, The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum, The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum & The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.

How to calculate Coefficient of Permeability when Discharge is Considered?

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 is calculated using 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 calculate Coefficient of Permeability when Discharge is Considered, you need 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). With our tool, you need to enter the respective value for Discharge per Unit Width of Aquifer, Length between Upstream and Downstream, Piezometric Head at Upstream End, Piezometric Head at Downstream End & Aquifer Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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