Coefficient of Permeability given Discharge for Partially Penetrating Well Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Permeability = Discharge for Partially Penetrating Well/((2*pi*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well in Eviron. Engin.),e)))
k = Qv/((2*pi*bp*(Hi-hw)*G)/(log((R/r'),e)))
This formula uses 2 Constants, 1 Functions, 8 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
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 for Partially Penetrating Well - (Measured in Cubic Meter per Second) - Discharge for Partially Penetrating Well is in terms of volumetric flow rate.
Aquifer Thickness During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.
Initial Aquifer Thickness - (Measured in Meter) - Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.
Depth of Water - (Measured in Meter) - Depth of Water in the well measured above the impermeable layer.
Correction Factor - Correction Factor is a factor that is applied for the correction in the Partial Penetration.
Radius of Influence - (Measured in Meter) - Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.
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.
STEP 1: Convert Input(s) to Base Unit
Discharge for Partially Penetrating Well: 0.0029 Cubic Meter per Second --> 0.0029 Cubic Meter per Second No Conversion Required
Aquifer Thickness During Pumping: 2.36 Meter --> 2.36 Meter No Conversion Required
Initial Aquifer Thickness: 2.54 Meter --> 2.54 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 Meter No Conversion Required
Correction Factor: 5.6 --> No Conversion Required
Radius of Influence: 100 Meter --> 100 Meter No Conversion Required
Radius of Well in Eviron. Engin.: 2.94 Meter --> 2.94 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = Qv/((2*pi*bp*(Hi-hw)*G)/(log((R/r'),e))) --> 0.0029/((2*pi*2.36*(2.54-2.44)*5.6)/(log((100/2.94),e)))
Evaluating ... ...
k = 9.90243769752501E-05
STEP 3: Convert Result to Output's Unit
9.90243769752501E-05 Meter per Second -->0.00990243769752501 Centimeter per Second (Check conversion here)
FINAL ANSWER
0.00990243769752501 0.009902 Centimeter per Second <-- Coefficient of Permeability
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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11 Partially Penetrating Artesian Well Calculators

Thickness of Aquifer given Discharge for Partially Penetrating Well
Go Initial Aquifer Thickness = Depth of Water+(Discharge for Partially Penetrating Well*(log((Radius of Influence/Radius of Well in Eviron. Engin.),e)))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness During Pumping*Correction Factor)
Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well
Go Correction Factor = Discharge for Partially Penetrating Well/((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well in Eviron. Engin.),e)))
Coefficient of Permeability given Discharge for Partially Penetrating Well
Go Coefficient of Permeability = Discharge for Partially Penetrating Well/((2*pi*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well in Eviron. Engin.),e)))
Depth of Water in Well given Discharge for Partially Penetrating Well
Go Depth of Water = Initial Aquifer Thickness-((Discharge for Partially Penetrating Well*(log((Radius of Influence/Radius of Well in Eviron. Engin.),e)))/(2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*Correction Factor))
Aquifer Thickness given Discharge for Partially Penetrating Well
Go Aquifer Thickness During Pumping = Discharge for Partially Penetrating Well/((2*pi*Coefficient of Permeability*(Initial Aquifer Thickness-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well in Eviron. Engin.),e)))
Discharge for Partially Penetrating Well
Go Discharge for Partially Penetrating Well = (2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well in Eviron. Engin.),e))
Radius of Influence given Discharge for Partially Penetrating Well
Go Radius of Influence in Eviron. Engin. = (Radius of Well in Eviron. Engin.*exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water)*Correction Factor)/Discharge at Time t=0))
Radius of Well given Discharge for Partially Penetrating Well
Go Radius of Well in Eviron. Engin. = Radius of Influence in Eviron. Engin./(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water)*Correction Factor)/Discharge))
Correction Factor for Partial Penetration given Discharge for Fully Penetrating Well
Go Correction Factor = Discharge for Partially Penetrating Well/Discharge in Enviro. Engin.
Discharge for Partially Penetrating Well given Correction Factor
Go Discharge for Partially Penetrating Well = Correction Factor*Discharge in Enviro. Engin.
Discharge for Fully Penetrating Well given Correction Factor
Go Discharge in Enviro. Engin. = Discharge for Partially Penetrating Well/Correction Factor

Coefficient of Permeability given Discharge for Partially Penetrating Well Formula

Coefficient of Permeability = Discharge for Partially Penetrating Well/((2*pi*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well in Eviron. Engin.),e)))
k = Qv/((2*pi*bp*(Hi-hw)*G)/(log((R/r'),e)))

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 for Partially Penetrating Well?

Coefficient of Permeability given Discharge for Partially Penetrating Well calculator uses Coefficient of Permeability = Discharge for Partially Penetrating Well/((2*pi*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well in Eviron. Engin.),e))) to calculate the Coefficient of Permeability, The Coefficient of Permeability given Discharge for Partially Penetrating 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 for Partially Penetrating Well using this online calculator? To use this online calculator for Coefficient of Permeability given Discharge for Partially Penetrating Well, enter Discharge for Partially Penetrating Well (Qv), Aquifer Thickness During Pumping (bp), Initial Aquifer Thickness (Hi), Depth of Water (hw), Correction Factor (G), Radius of Influence (R) & Radius of Well in Eviron. Engin. (r') and hit the calculate button. Here is how the Coefficient of Permeability given Discharge for Partially Penetrating Well calculation can be explained with given input values -> 0.005639 = 0.0029/((2*pi*2.36*(2.54-2.44)*5.6)/(log((100/2.94),e))).

FAQ

What is Coefficient of Permeability given Discharge for Partially Penetrating Well?
The Coefficient of Permeability given Discharge for Partially Penetrating Well is defined as the value of coefficient of permeability when we have prior information of other parameters used and is represented as k = Qv/((2*pi*bp*(Hi-hw)*G)/(log((R/r'),e))) or Coefficient of Permeability = Discharge for Partially Penetrating Well/((2*pi*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well in Eviron. Engin.),e))). Discharge for Partially Penetrating Well is in terms of volumetric flow rate, Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage, Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping, Depth of Water in the well measured above the impermeable layer, Correction Factor is a factor that is applied for the correction in the Partial Penetration, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table & Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.
How to calculate Coefficient of Permeability given Discharge for Partially Penetrating Well?
The Coefficient of Permeability given Discharge for Partially Penetrating 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 for Partially Penetrating Well/((2*pi*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well in Eviron. Engin.),e))). To calculate Coefficient of Permeability given Discharge for Partially Penetrating Well, you need Discharge for Partially Penetrating Well (Qv), Aquifer Thickness During Pumping (bp), Initial Aquifer Thickness (Hi), Depth of Water (hw), Correction Factor (G), Radius of Influence (R) & Radius of Well in Eviron. Engin. (r'). With our tool, you need to enter the respective value for Discharge for Partially Penetrating Well, Aquifer Thickness During Pumping, Initial Aquifer Thickness, Depth of Water, Correction Factor, Radius of Influence & Radius of Well in Eviron. Engin 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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