Radius of Well when Interference among three well is present Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Well in Eviron. Engin. = (Radius of Influence in Eviron. Engin.^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Distance Between Well^2)
r' = (ri^3)/(exp((2*pi*k*bp*(Hi-hw))/Q)*B^2)
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 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.
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.
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.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Distance Between Well - (Measured in Meter) - Distance Between Well is the center to center distance between the well.
STEP 1: Convert Input(s) to Base Unit
Radius of Influence in Eviron. Engin.: 2.92 Meter --> 2.92 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
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Distance Between Well: 2.93 Meter --> 2.93 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r' = (ri^3)/(exp((2*pi*k*bp*(Hi-hw))/Q)*B^2) --> (2.92^3)/(exp((2*pi*0.0001*2.36*(2.54-2.44))/1.01)*2.93^2)
Evaluating ... ...
r' = 2.89967652526681
STEP 3: Convert Result to Output's Unit
2.89967652526681 Meter --> No Conversion Required
FINAL ANSWER
2.89967652526681 2.899677 Meter <-- Radius of Well in Eviron. Engin.
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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16 Interference Among Wells Calculators

Radius of Influence when Interference among Three Well is Present
Go Radius of Influence in Eviron. Engin. = ((Radius of Well in Eviron. Engin.*Distance Between Well^2)*exp((2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0))^(1/3)
Distance between well when Interference among three well is present
Go Distance Between Well = sqrt((Radius of Influence in Eviron. Engin.^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Radius of Well in Eviron. Engin.))
Coefficient of Permeability when Interference among Three Well is Present
Go Coefficient of Permeability in Environ. Engin. = Discharge/((2*pi*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e)))
Aquifer Thickness when Interference among Three Well is Present
Go Aquifer Thickness During Pumping = Discharge/((2*pi*Coefficient of Permeability in Environ. Engin.*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e)))
Radius of Influence when Interference among Well is Present
Go Radius of Influence in Eviron. Engin. = sqrt((Radius of Well in Eviron. Engin.*Distance Between Well)*exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge))
Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present
Go Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness During Pumping))
Discharge through Each Well when Interference among Three Well is Present
Go Discharge = (2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))
Coefficient of Permeability when Interference among Well is Present
Go Coefficient of Permeability in Environ. Engin. = Discharge/((2*pi*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e)))
Aquifer Thickness when Interference among Well is Present
Go Aquifer Thickness During Pumping = Discharge/((2*pi*Coefficient of Permeability in Environ. Engin.*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e)))
Discharge through Each Well when Interference among Well is Present
Go Discharge = (2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e))
Depth of Water in Well when Interference among Three Well is Present
Go Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness))
Thickness of Aquifer from Impermeable Layer when Interference among Well is Present
Go Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness))
Depth of Water in Well when Interference among Well is Present
Go Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness))
Radius of Well when Interference among three well is present
Go Radius of Well in Eviron. Engin. = (Radius of Influence in Eviron. Engin.^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Distance Between Well^2)
Distance between well when Interference among well is present
Go Distance Between Well = (Radius of Influence in Eviron. Engin.^2)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Radius of Well in Eviron. Engin.)
Radius of Well when Interference among well is present
Go Radius of Well in Eviron. Engin. = (Radius of Influence in Eviron. Engin.^2)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Distance Between Well)

Radius of Well when Interference among three well is present Formula

Radius of Well in Eviron. Engin. = (Radius of Influence in Eviron. Engin.^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Distance Between Well^2)
r' = (ri^3)/(exp((2*pi*k*bp*(Hi-hw))/Q)*B^2)

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 Well when Interference among three well is present?

Radius of Well when Interference among three well is present calculator uses Radius of Well in Eviron. Engin. = (Radius of Influence in Eviron. Engin.^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Distance Between Well^2) to calculate the Radius of Well in Eviron. Engin., The Radius of Well when Interference among three well is present is defined as the value of radius of well when we have prior information of other parameters used. Radius of Well in Eviron. Engin. is denoted by r' symbol.

How to calculate Radius of Well when Interference among three well is present using this online calculator? To use this online calculator for Radius of Well when Interference among three well is present, enter Radius of Influence in Eviron. Engin. (ri), Coefficient of Permeability (k), Aquifer Thickness During Pumping (bp), Initial Aquifer Thickness (Hi), Depth of Water (hw), Discharge (Q) & Distance Between Well (B) and hit the calculate button. Here is how the Radius of Well when Interference among three well is present calculation can be explained with given input values -> 2.826291 = (2.92^3)/(exp((2*pi*0.0001*2.36*(2.54-2.44))/1.01)*2.93^2).

FAQ

What is Radius of Well when Interference among three well is present?
The Radius of Well when Interference among three well is present is defined as the value of radius of well when we have prior information of other parameters used and is represented as r' = (ri^3)/(exp((2*pi*k*bp*(Hi-hw))/Q)*B^2) or Radius of Well in Eviron. Engin. = (Radius of Influence in Eviron. Engin.^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Distance Between Well^2). Radius of Influence in Eviron. Engin.measured from the center of the well to the point where drawdown curve meets the original water table, 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, Discharge is the rate of flow of a liquid & Distance Between Well is the center to center distance between the well.
How to calculate Radius of Well when Interference among three well is present?
The Radius of Well when Interference among three well is present is defined as the value of radius of well when we have prior information of other parameters used is calculated using Radius of Well in Eviron. Engin. = (Radius of Influence in Eviron. Engin.^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Distance Between Well^2). To calculate Radius of Well when Interference among three well is present, you need Radius of Influence in Eviron. Engin. (ri), Coefficient of Permeability (k), Aquifer Thickness During Pumping (bp), Initial Aquifer Thickness (Hi), Depth of Water (hw), Discharge (Q) & Distance Between Well (B). With our tool, you need to enter the respective value for Radius of Influence in Eviron. Engin, Coefficient of Permeability, Aquifer Thickness During Pumping, Initial Aquifer Thickness, Depth of Water, Discharge & Distance Between Well 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 Radius of Well in Eviron. Engin.?
In this formula, Radius of Well in Eviron. Engin. uses Radius of Influence in Eviron. Engin, Coefficient of Permeability, Aquifer Thickness During Pumping, Initial Aquifer Thickness, Depth of Water, Discharge & Distance Between Well. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radius of Well in Eviron. Engin. = (Radius of Influence in Eviron. Engin.^2)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Distance Between Well)
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