Coefficient of Permeability when discharge is considered Calculator

✖Discharge per unit width of aquifer is the rate of total discharge in the channel to the width considered.ⓘ Discharge per unit width of aquifer [q]			+10% -10%
✖Length between upstream and downstream water bodies on a horizontal base with a difference in surface elevations.ⓘ Length between upstream and downstream [L_stream]			+10% -10%
✖Piezometric Head at Upstream End is defined as a specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Upstream End [h_o]			+10% -10%
✖Piezometric Head at Downstream End is defined as a specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Downstream End [h₁]			+10% -10%
✖Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.ⓘ Aquifer Thickness [b]			+10% -10%

✖The coefficient of permeability of a soil describes how easily a liquid will move through soil. It is also commonly referred to as hydraulic conductivity.ⓘ Coefficient of Permeability when discharge is considered [K]

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Coefficient of Permeability when discharge is considered

Formula

`"K" = "q"*"L"_{"stream"}/(("h"_{"o"}-"h"_{"1"})*"b")`

Example

`"116.8571cm/s"="30m³/s"*"4.09m"/(("12m"-"5m")*"15m")`

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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 of a soil describes how easily a liquid will move through soil. It is also commonly referred to as hydraulic conductivity.
Discharge per unit width of aquifer - (Measured in Cubic Meter per Second) - Discharge per unit width of aquifer is the rate of total discharge in the channel to the width considered.
Length between upstream and downstream - (Measured in Meter) - Length between upstream and downstream water bodies on a horizontal base with a difference in surface elevations.
Piezometric Head at Upstream End - (Measured in Meter) - Piezometric Head at Upstream End is defined as a specific measurement of liquid pressure above a vertical datum.
Piezometric Head at Downstream End - (Measured in Meter) - Piezometric Head at Downstream End is defined as a specific measurement of liquid pressure above a vertical datum.
Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.

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: 15 Meter --> 15 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)*15)

Evaluating ... ...

K = 1.16857142857143

STEP 3: Convert Result to Output's Unit

1.16857142857143 Meter per Second -->116.857142857143 Centimeter per Second (Check conversion here)

FINAL ANSWER

116.857142857143 ≈ 116.8571 Centimeter per Second <-- Coefficient of Permeability

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 7 Confined Groundwater Flow between Water Bodies Calculators

Length when Discharge per Unit Width of Aquifer is Considered

Go Length between upstream and downstream = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Discharge per unit width of aquifer)*Coefficient of Permeability*Aquifer Thickness

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

Rate of movement through aquifer and confining bed

Go Groundwater Velocity = (Hydraulic Conductivity/Porosity of soil)*Hydraulic Gradient

Velocity Equation of Hydraulics

Go Discharge per unit width of aquifer = Cross-Sectional Area*Groundwater Velocity

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 defines the capacity of the soil with which the water can easily flow through it. 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 -> 11685.71 = 30*4.09/((12-5)*15).

FAQ

What is Coefficient of Permeability when discharge is considered?

The Coefficient of Permeability when discharge is considered defines the capacity of the soil with which the water can easily flow through it 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). Discharge per unit width of aquifer is the rate of total discharge in the channel to the width considered, Length between upstream and downstream water bodies on a horizontal base with a difference in surface elevations, Piezometric Head at Upstream End is defined as a specific measurement of liquid pressure above a vertical datum, Piezometric Head at Downstream End is defined as a specific measurement of liquid pressure above a vertical datum & Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.

How to calculate Coefficient of Permeability when discharge is considered?

The Coefficient of Permeability when discharge is considered defines the capacity of the soil with which the water can easily flow through it 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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