Radius of Influence given Discharge for Partially Penetrating Well Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
ri = (r'*exp((2*pi*k*bp*(Hi-hw)*G)/Q0))
This formula uses 1 Constants, 1 Functions, 8 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Radius of Influence in Eviron. Engin. - (Measured in Meter) - Radius of Influence in Eviron. Engin.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.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
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.
Discharge at Time t=0 - (Measured in Cubic Meter per Second) - Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.
STEP 1: Convert Input(s) to Base Unit
Radius of Well in Eviron. Engin.: 2.94 Meter --> 2.94 Meter No Conversion Required
Coefficient of Permeability: 0.01 Centimeter per Second --> 0.0001 Meter per Second (Check conversion here)
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
Discharge at Time t=0: 50 Cubic Meter per Second --> 50 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = (r'*exp((2*pi*k*bp*(Hi-hw)*G)/Q0)) --> (2.94*exp((2*pi*0.0001*2.36*(2.54-2.44)*5.6)/50))
Evaluating ... ...
ri = 2.94004882708874
STEP 3: Convert Result to Output's Unit
2.94004882708874 Meter --> No Conversion Required
FINAL ANSWER
2.94004882708874 2.940049 Meter <-- Radius of Influence in Eviron. Engin.
(Calculation completed in 00.004 seconds)

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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

Radius of Influence given Discharge for Partially Penetrating Well Formula

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))
ri = (r'*exp((2*pi*k*bp*(Hi-hw)*G)/Q0))

What is Radius of Influence?

The radius of influence and radius of investigation of a pumping well are fundamental concepts in hydrogeology with various uses in well hydraulics and aquifer testing.

How to Calculate Radius of Influence given Discharge for Partially Penetrating Well?

Radius of Influence given Discharge for Partially Penetrating Well calculator uses 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)) to calculate the Radius of Influence in Eviron. Engin., The Radius of Influence given Discharge for Partially Penetrating Well is defined as the value of radius of influence when we have prior information of other parameters used. Radius of Influence in Eviron. Engin. is denoted by ri symbol.

How to calculate Radius of Influence given Discharge for Partially Penetrating Well using this online calculator? To use this online calculator for Radius of Influence given Discharge for Partially Penetrating Well, enter Radius of Well in Eviron. Engin. (r'), Coefficient of Permeability (k), Aquifer Thickness During Pumping (bp), Initial Aquifer Thickness (Hi), Depth of Water (hw), Correction Factor (G) & Discharge at Time t=0 (Q0) and hit the calculate button. Here is how the Radius of Influence given Discharge for Partially Penetrating Well calculation can be explained with given input values -> 2.948586 = (2.94*exp((2*pi*0.0001*2.36*(2.54-2.44)*5.6)/50)).

FAQ

What is Radius of Influence given Discharge for Partially Penetrating Well?
The Radius of Influence given Discharge for Partially Penetrating Well is defined as the value of radius of influence when we have prior information of other parameters used and is represented as ri = (r'*exp((2*pi*k*bp*(Hi-hw)*G)/Q0)) or 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 in Eviron. Engin. is defined as the distance from center of well to its outer boundary, The Coefficient of Permeability of soil describes how easily a liquid will move through the soil, 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 & Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.
How to calculate Radius of Influence given Discharge for Partially Penetrating Well?
The Radius of Influence given Discharge for Partially Penetrating Well is defined as the value of radius of influence when we have prior information of other parameters used is calculated using 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)). To calculate Radius of Influence given Discharge for Partially Penetrating Well, you need Radius of Well in Eviron. Engin. (r'), Coefficient of Permeability (k), Aquifer Thickness During Pumping (bp), Initial Aquifer Thickness (Hi), Depth of Water (hw), Correction Factor (G) & Discharge at Time t=0 (Q0). With our tool, you need to enter the respective value for Radius of Well in Eviron. Engin, Coefficient of Permeability, Aquifer Thickness During Pumping, Initial Aquifer Thickness, Depth of Water, Correction Factor & Discharge at Time t=0 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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