Coefficient of aquifer permeability when discharge per unit width of aquifer Calculator

✖Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.ⓘ Discharge [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%

✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of aquifer permeability when discharge per unit width of aquifer [K]

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Coefficient of aquifer permeability when discharge per unit width of aquifer

Formula

`"K" = ("Q"*2*"L"_{"stream"})/(("h"_{"o"}^2)-("h"_{"1"}^2))`

Example

`"20.62185cm/s"=("3.0m³/s"*2*"4.09m")/((("12m")^2)-(("5m")^2))`

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Coefficient of aquifer permeability when discharge per unit width of aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Permeability = (Discharge*2*Length between upstream and downstream)/((Piezometric Head at Upstream End^2)-(Piezometric Head at Downstream End^2))
K = (Q*2*L_stream)/((h_o^2)-(h₁^2))
This formula uses 5 Variables

Variables Used

Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.
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.

STEP 1: Convert Input(s) to Base Unit

Discharge: 3 Cubic Meter per Second --> 3 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (Q*2*L_stream)/((h_o^2)-(h₁^2)) --> (3*2*4.09)/((12^2)-(5^2))

Evaluating ... ...

K = 0.206218487394958

STEP 3: Convert Result to Output's Unit

0.206218487394958 Meter per Second -->20.6218487394958 Centimeter per Second (Check conversion here)

FINAL ANSWER

20.6218487394958 ≈ 20.62185 Centimeter per Second <-- Coefficient of Permeability

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Unconfined Flow by Dupit's Assumption » One Dimensional Dupit's flow with Recharge » Coefficient of aquifer permeability when discharge per unit width of aquifer

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< 8 One Dimensional Dupit's flow with Recharge Calculators

Equation for head for unconfined aquifer on horizontal impervious base

Go Water Table Profile = sqrt(((-Natural Recharge*Flow in 'x' Direction^2)/Coefficient of Permeability)-(((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2-((Natural Recharge*Length between upstream and downstream^2)/Coefficient of Permeability))/Length between upstream and downstream)*Flow in 'x' Direction)+Piezometric Head at Upstream End^2)

Discharge per Unit Width of Aquifer at any Location x

Go Discharge of Aquifer at any Location x = Natural Recharge*(Flow in 'x' Direction-(Length between upstream and downstream/2))+(Coefficient of Permeability/2*Length between upstream and downstream)*(Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)

Discharge at downstream water body of catchment

Go Discharge at Downstream Side = ((Natural Recharge*Length between upstream and downstream)/2)+((Coefficient of Permeability/(2*Length between upstream and downstream))*(Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2))

Equation for Water Divide

Go Water Divide = (Length between upstream and downstream/2)-(Coefficient of Permeability/Natural Recharge)*((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)/2*Length between upstream and downstream)

Coefficient of Aquifer Permeability given water table profile

Go Coefficient of Permeability = ((Natural Recharge/Water Table Profile^2)*(Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction)

Coefficient of aquifer permeability when discharge per unit width of aquifer

Go Coefficient of Permeability = (Discharge*2*Length between upstream and downstream)/((Piezometric Head at Upstream End^2)-(Piezometric Head at Downstream End^2))

Coefficient of Aquifer Permeability given Maximum Height of Water Table

Go Coefficient of Permeability = (Natural Recharge*Length between tile drain^2)/(2*Maximum Height of Water Table)^2

Discharge entering drain per unit length of drain

Go Discharge per unit length of the drain = 2*(Natural Recharge*(Length between tile drain/2))

Coefficient of aquifer permeability when discharge per unit width of aquifer Formula

Coefficient of Permeability = (Discharge*2*Length between upstream and downstream)/((Piezometric Head at Upstream End^2)-(Piezometric Head at Downstream End^2))
K = (Q*2*L_stream)/((h_o^2)-(h₁^2))

What is Groundwater Recharge?

Groundwater Recharge or deep drainage or deep percolation is a hydrologic process, where water moves downward from surface water to groundwater. Recharge is the primary method through which water enters an aquifer . This process usually occurs in the vadose zone below plant roots and, is often expressed as a flux to the water table surface.

How to Calculate Coefficient of aquifer permeability when discharge per unit width of aquifer?

Coefficient of aquifer permeability when discharge per unit width of aquifer calculator uses Coefficient of Permeability = (Discharge*2*Length between upstream and downstream)/((Piezometric Head at Upstream End^2)-(Piezometric Head at Downstream End^2)) to calculate the Coefficient of Permeability, The Coefficient of aquifer permeability when discharge per unit width of aquifer is defined as the measure of 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 aquifer permeability when discharge per unit width of aquifer using this online calculator? To use this online calculator for Coefficient of aquifer permeability when discharge per unit width of aquifer, enter Discharge (Q), Length between upstream and downstream (L_stream), Piezometric Head at Upstream End (h_o) & Piezometric Head at Downstream End (h₁) and hit the calculate button. Here is how the Coefficient of aquifer permeability when discharge per unit width of aquifer calculation can be explained with given input values -> 2062.185 = (3*2*4.09)/((12^2)-(5^2)).

FAQ

What is Coefficient of aquifer permeability when discharge per unit width of aquifer?

The Coefficient of aquifer permeability when discharge per unit width of aquifer is defined as the measure of the capacity of the soil with which the water can easily flow through it and is represented as K = (Q*2*L_stream)/((h_o^2)-(h₁^2)) or Coefficient of Permeability = (Discharge*2*Length between upstream and downstream)/((Piezometric Head at Upstream End^2)-(Piezometric Head at Downstream End^2)). Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material, 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.

How to calculate Coefficient of aquifer permeability when discharge per unit width of aquifer?

The Coefficient of aquifer permeability when discharge per unit width of aquifer is defined as the measure of the capacity of the soil with which the water can easily flow through it is calculated using Coefficient of Permeability = (Discharge*2*Length between upstream and downstream)/((Piezometric Head at Upstream End^2)-(Piezometric Head at Downstream End^2)). To calculate Coefficient of aquifer permeability when discharge per unit width of aquifer, you need Discharge (Q), Length between upstream and downstream (L_stream), Piezometric Head at Upstream End (h_o) & Piezometric Head at Downstream End (h₁). With our tool, you need to enter the respective value for Discharge, Length between upstream and downstream, Piezometric Head at Upstream End & Piezometric Head at Downstream End and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Coefficient of Permeability?

In this formula, Coefficient of Permeability uses Discharge, Length between upstream and downstream, Piezometric Head at Upstream End & Piezometric Head at Downstream End. We can use 2 other way(s) to calculate the same, which is/are as follows -

Coefficient of Permeability = ((Natural Recharge/Water Table Profile^2)*(Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction)
Coefficient of Permeability = (Natural Recharge*Length between tile drain^2)/(2*Maximum Height of Water Table)^2

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