Coefficient of Permeability when Interference among Well is Present Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
K = Q/((2*pi*bp*(bw-hw))/(log((R^2)/(r'*B),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 in Environ. Engin. - (Measured in Meter per Second) - Coefficient of Permeability in Environ. Engin. of soil describes how easily a liquid will move through the soil.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Aquifer Thickness During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.
Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
Depth of Water - (Measured in Meter) - Depth of Water in the well measured above the impermeable layer.
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.
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
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Aquifer Thickness During Pumping: 2.36 Meter --> 2.36 Meter No Conversion Required
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 Meter 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
Distance Between Well: 2.93 Meter --> 2.93 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = Q/((2*pi*bp*(bw-hw))/(log((R^2)/(r'*B),e))) --> 1.01/((2*pi*2.36*(15-2.44))/(log((100^2)/(2.94*2.93),e)))
Evaluating ... ...
K = 0.000768465109301832
STEP 3: Convert Result to Output's Unit
0.000768465109301832 Meter per Second -->0.0768465109301832 Centimeter per Second (Check conversion here)
FINAL ANSWER
0.0768465109301832 0.076847 Centimeter per Second <-- Coefficient of Permeability in Environ. Engin.
(Calculation completed in 00.020 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)

Coefficient of Permeability when Interference among Well is Present Formula

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)))
K = Q/((2*pi*bp*(bw-hw))/(log((R^2)/(r'*B),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 when Interference among Well is Present?

Coefficient of Permeability when Interference among Well is Present calculator uses 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))) to calculate the Coefficient of Permeability in Environ. Engin., The Coefficient of Permeability when Interference among Well is Present is defined as the value of coefficient of permeability when we have prior information of other parameters used. Coefficient of Permeability in Environ. Engin. is denoted by K symbol.

How to calculate Coefficient of Permeability when Interference among Well is Present using this online calculator? To use this online calculator for Coefficient of Permeability when Interference among Well is Present, enter Discharge (Q), Aquifer Thickness During Pumping (bp), Aquifer Thickness (bw), Depth of Water (hw), Radius of Influence (R), Radius of Well in Eviron. Engin. (r') & Distance Between Well (B) and hit the calculate button. Here is how the Coefficient of Permeability when Interference among Well is Present calculation can be explained with given input values -> 7.684651 = 1.01/((2*pi*2.36*(15-2.44))/(log((100^2)/(2.94*2.93),e))).

FAQ

What is Coefficient of Permeability when Interference among Well is Present?
The Coefficient of Permeability when Interference among Well is Present is defined as the value of coefficient of permeability when we have prior information of other parameters used and is represented as K = Q/((2*pi*bp*(bw-hw))/(log((R^2)/(r'*B),e))) or 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))). Discharge is the rate of flow of a liquid, Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage, Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water, Depth of Water in the well measured above the impermeable layer, 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 & Distance Between Well is the center to center distance between the well.
How to calculate Coefficient of Permeability when Interference among Well is Present?
The Coefficient of Permeability when Interference among Well is Present is defined as the value of coefficient of permeability when we have prior information of other parameters used is calculated using 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))). To calculate Coefficient of Permeability when Interference among Well is Present, you need Discharge (Q), Aquifer Thickness During Pumping (bp), Aquifer Thickness (bw), Depth of Water (hw), Radius of Influence (R), Radius of Well in Eviron. Engin. (r') & Distance Between Well (B). With our tool, you need to enter the respective value for Discharge, Aquifer Thickness During Pumping, Aquifer Thickness, Depth of Water, Radius of Influence, Radius of Well in Eviron. Engin & 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 Coefficient of Permeability in Environ. Engin.?
In this formula, Coefficient of Permeability in Environ. Engin. uses Discharge, Aquifer Thickness During Pumping, Aquifer Thickness, Depth of Water, Radius of Influence, Radius of Well in Eviron. Engin & Distance Between Well. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)))
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