Coefficient of Permeability given Discharge due to Spherical Flow in Well Calculator

✖Discharge by Spherical Flow is the discharge for spherical flow in well.ⓘ Discharge by Spherical Flow [Q_s]			+10% -10%
✖Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well in Eviron. Engin. [r^']			+10% -10%
✖Thickness of Aquifer measured from permeable layer to the initial level of water table.ⓘ Thickness of Aquifer [H]			+10% -10%
✖Depth of Water in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%

✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability given Discharge due to Spherical Flow in Well [k]

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Formula

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Coefficient of Permeability given Discharge due to Spherical Flow in Well

Formula

`"k" = "Q"_{"s"}/(2*pi*"r"^{"'"}*("H"-"h"_{"w"}))`

Example

`"0.104816cm/s"="0.34m³/s"/(2*pi*"2.94m"*("20m"-"2.44m"))`

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Coefficient of Permeability given Discharge due to Spherical Flow in Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water))
k = Q_s/(2*pi*r^'*(H-h_w))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 by Spherical Flow - (Measured in Cubic Meter per Second) - Discharge by Spherical Flow is the discharge for spherical flow in well.
Radius of Well in Eviron. Engin. - (Measured in Meter) - Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.
Thickness of Aquifer - (Measured in Meter) - Thickness of Aquifer measured from permeable layer to the initial level of water table.
Depth of Water - (Measured in Meter) - Depth of Water in the well measured above the impermeable layer.

STEP 1: Convert Input(s) to Base Unit

Discharge by Spherical Flow: 0.34 Cubic Meter per Second --> 0.34 Cubic Meter per Second No Conversion Required
Radius of Well in Eviron. Engin.: 2.94 Meter --> 2.94 Meter No Conversion Required
Thickness of Aquifer: 20 Meter --> 20 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = Q_s/(2*pi*r^'*(H-h_w)) --> 0.34/(2*pi*2.94*(20-2.44))

Evaluating ... ...

k = 0.00104815909401478

STEP 3: Convert Result to Output's Unit

0.00104815909401478 Meter per Second -->0.104815909401478 Centimeter per Second (Check conversion here)

FINAL ANSWER

0.104815909401478 ≈ 0.104816 Centimeter per Second <-- Coefficient of Permeability

(Calculation completed in 00.004 seconds)

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< 19 Spherical Flow in a Well Calculators

Discharge by Radial Flow given Discharge by Spherical Flow

Go Discharge = Discharge by Spherical Flow/((Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e))

Aquifer Thickness given Discharge by Spherical Flow

Go Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./(Discharge by Spherical Flow/Discharge))*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Discharge by Spherical Flow

Go Discharge by Spherical Flow = Discharge*(Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Radius of Influence given Discharge by Spherical Flow

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*exp(((Discharge by Spherical Flow/Discharge at Time t=0)*Aquifer Thickness During Pumping)/Radius of Well in Eviron. Engin.)

Discharge by Spherical Flow with Base 10

Go Discharge by Spherical Flow = 2.3*Discharge*(Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Discharge by Radial Flow given Discharge by Spherical Flow with Base 10

Go Discharge = Discharge by Spherical Flow/(2.3*(Radius of Well in Eviron. Engin./Aquifer Thickness)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10))

Aquifer Thickness given Discharge by Spherical Flow with Base 10

Go Aquifer Thickness = 2.3*(Radius of Well in Eviron. Engin./(Discharge by Spherical Flow/Discharge))*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Radius of Influence given Discharge by Spherical Flow with Base 10

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*10^(((Discharge by Spherical Flow/Discharge at Time t=0)*Aquifer Thickness)/(2.3*Radius of Well in Eviron. Engin.))

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow

Go Ratio of discharge = (Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Aquifer Thickness given Ratio of Discharge

Go Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Radius of Influence given Ratio of Discharge

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*exp((Ratio of discharge*Aquifer Thickness During Pumping)/Radius of Well in Eviron. Engin.)

Depth of Water in Well given Discharge due to Spherical Flow in Well

Go Depth of Water = Thickness of Aquifer-(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.))

Thickness of Aquifer given Discharge due to Spherical Flow in Well

Go Thickness of Aquifer = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.))

Radius of Well given Discharge due to Spherical Flow in Well

Go Radius of Well in Eviron. Engin. = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*(Thickness of Aquifer-Depth of Water))

Discharge due to Spherical Flow in Well

Go Discharge by Spherical Flow = 2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water)

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10

Go Ratio of discharge = 2.3*(Radius of Well in Eviron. Engin./Aquifer Thickness)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Radius of Influence given Ratio of Discharge with Base 10

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*10^((Ratio of discharge*Aquifer Thickness During Pumping)/(2.3*Radius of Well in Eviron. Engin.))

Aquifer Thickness given Ratio of Discharge with Base 10

Go Aquifer Thickness = 2.3*(Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Coefficient of Permeability given Discharge due to Spherical Flow in Well

Go Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water))

Coefficient of Permeability given Discharge due to Spherical Flow in Well Formula

Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water))
k = Q_s/(2*pi*r^'*(H-h_w))

What is Coefficient of Permeability?

The rate of flow under laminar flow conditions through a unit cross sectional are of porous medium under unit hydraulic gradient is defined as coefficient of permeability.

How to Calculate Coefficient of Permeability given Discharge due to Spherical Flow in Well?

Coefficient of Permeability given Discharge due to Spherical Flow in Well calculator uses Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water)) to calculate the Coefficient of Permeability, The Coefficient of Permeability given Discharge due to Spherical Flow in Well is defined as the value of coefficient of permeability when we have prior information of other parameters used. Coefficient of Permeability is denoted by k symbol.

How to calculate Coefficient of Permeability given Discharge due to Spherical Flow in Well using this online calculator? To use this online calculator for Coefficient of Permeability given Discharge due to Spherical Flow in Well, enter Discharge by Spherical Flow (Q_s), Radius of Well in Eviron. Engin. (r^'), Thickness of Aquifer (H) & Depth of Water (h_w) and hit the calculate button. Here is how the Coefficient of Permeability given Discharge due to Spherical Flow in Well calculation can be explained with given input values -> 10.82687 = 0.34/(2*pi*2.94*(20-2.44)).

FAQ

What is Coefficient of Permeability given Discharge due to Spherical Flow in Well?

The Coefficient of Permeability given Discharge due to Spherical Flow in Well is defined as the value of coefficient of permeability when we have prior information of other parameters used and is represented as k = Q_s/(2*pi*r^'*(H-h_w)) or Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water)). Discharge by Spherical Flow is the discharge for spherical flow in well, Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary, Thickness of Aquifer measured from permeable layer to the initial level of water table & Depth of Water in the well measured above the impermeable layer.

How to calculate Coefficient of Permeability given Discharge due to Spherical Flow in Well?

The Coefficient of Permeability given Discharge due to Spherical Flow in Well is defined as the value of coefficient of permeability when we have prior information of other parameters used is calculated using Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water)). To calculate Coefficient of Permeability given Discharge due to Spherical Flow in Well, you need Discharge by Spherical Flow (Q_s), Radius of Well in Eviron. Engin. (r^'), Thickness of Aquifer (H) & Depth of Water (h_w). With our tool, you need to enter the respective value for Discharge by Spherical Flow, Radius of Well in Eviron. Engin, Thickness of Aquifer & Depth of Water 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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