Radius of Influence when Interference among Three Well is Present Calculator

✖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%
✖Distance Between Well is the center to center distance between the well.ⓘ Distance Between Well [B]			+10% -10%
✖Coefficient of Permeability in Environ. Engin. of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Environ. Engin. [K]			+10% -10%
✖Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.ⓘ Aquifer Thickness During Pumping [b_p]			+10% -10%
✖Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.ⓘ Initial Aquifer Thickness [H_i]			+10% -10%
✖Depth of Water in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%
✖Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.ⓘ Discharge at Time t=0 [Q₀]			+10% -10%

✖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 Influence when Interference among Three Well is Present [r_i]

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Formula

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Radius of Influence when Interference among Three Well is Present

Formula

`"r"_{"i"} = (("r"^{"'"}*"B"^2)*exp((2*pi*"K"*"b"_{"p"}*("H"_{"i"}-"h"_{"w"}))/"Q"_{"0"}))^(1/3)`

Example

`"2.93336m"=(("2.94m"*("2.93m")^2)*exp((2*pi*"0.105cm/s"*"2.36m"*("2.54m"-"2.44m"))/"50m³/s"))^(1/3)`

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Radius of Influence when Interference among Three Well is Present Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
r_i = ((r^'*B^2)*exp((2*pi*K*b_p*(H_i-h_w))/Q₀))^(1/3)
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.
Distance Between Well - (Measured in Meter) - Distance Between Well is the center to center distance between the well.
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.
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 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
Distance Between Well: 2.93 Meter --> 2.93 Meter No Conversion Required
Coefficient of Permeability in Environ. Engin.: 0.105 Centimeter per Second --> 0.00105 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 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

r_i = ((r^'*B^2)*exp((2*pi*K*b_p*(H_i-h_w))/Q₀))^(1/3) --> ((2.94*2.93^2)*exp((2*pi*0.00105*2.36*(2.54-2.44))/50))^(1/3)

Evaluating ... ...

r_i = 2.93335999591624

STEP 3: Convert Result to Output's Unit

2.93335999591624 Meter --> No Conversion Required

FINAL ANSWER

2.93335999591624 ≈ 2.93336 Meter <-- Radius of Influence in Eviron. Engin.

(Calculation completed in 00.020 seconds)

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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 Influence when Interference among Three Well is Present Formula

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 when Interference among Three Well is Present?

Radius of Influence when Interference among Three Well is Present calculator uses 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) to calculate the Radius of Influence in Eviron. Engin., The Radius of Influence when Interference among Three Well is Present 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 r_i symbol.

How to calculate Radius of Influence when Interference among Three Well is Present using this online calculator? To use this online calculator for Radius of Influence when Interference among Three Well is Present, enter Radius of Well in Eviron. Engin. (r^'), Distance Between Well (B), Coefficient of Permeability in Environ. Engin. (K), Aquifer Thickness During Pumping (b_p), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge at Time t=0 (Q₀) and hit the calculate button. Here is how the Radius of Influence when Interference among Three Well is Present calculation can be explained with given input values -> 2.938681 = ((2.94*2.93^2)*exp((2*pi*0.00105*2.36*(2.54-2.44))/50))^(1/3).

FAQ

What is Radius of Influence when Interference among Three Well is Present?

The Radius of Influence when Interference among Three Well is Present is defined as the value of radius of influence when we have prior information of other parameters used and is represented as r_i = ((r^'*B^2)*exp((2*pi*K*b_p*(H_i-h_w))/Q₀))^(1/3) or 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). 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, Coefficient of Permeability in Environ. Engin. 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 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 when Interference among Three Well is Present?

The Radius of Influence when Interference among Three Well is Present 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.*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). To calculate Radius of Influence when Interference among Three Well is Present, you need Radius of Well in Eviron. Engin. (r^'), Distance Between Well (B), Coefficient of Permeability in Environ. Engin. (K), Aquifer Thickness During Pumping (b_p), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge at Time t=0 (Q₀). With our tool, you need to enter the respective value for Radius of Well in Eviron. Engin, Distance Between Well, Coefficient of Permeability in Environ. Engin, Aquifer Thickness During Pumping, Initial Aquifer Thickness, Depth of Water & 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.

How many ways are there to calculate Radius of Influence in Eviron. Engin.?

In this formula, Radius of Influence in Eviron. Engin. uses Radius of Well in Eviron. Engin, Distance Between Well, Coefficient of Permeability in Environ. Engin, Aquifer Thickness During Pumping, Initial Aquifer Thickness, Depth of Water & Discharge at Time t=0. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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