Discharge through Each Well when Interference among Well is Present Calculator

✖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%
✖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.ⓘ Aquifer Thickness [b_w]			+10% -10%
✖Depth of Water in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%
✖Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence [R]			+10% -10%
✖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%

✖Discharge is the rate of flow of a liquid.ⓘ Discharge through Each Well when Interference among Well is Present [Q]

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Discharge through Each Well when Interference among Well is Present

Formula

`"Q" = (2*pi*"K"*"b"_{"p"}*("b"_{"w"}-"h"_{"w"}))/(log(("R"^2)/("r"^{"'"}*"B"),e))`

Example

`"1.380024m³/s"=(2*pi*"0.105cm/s"*"2.36m"*("15.0m"-"2.44m"))/(log((("100m")^2)/("2.94m"*"2.93m"),e))`

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Discharge through Each Well when Interference among Well is Present Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q = (2*pi*K*b_p*(b_w-h_w))/(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

Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
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.
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

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
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

Q = (2*pi*K*b_p*(b_w-h_w))/(log((R^2)/(r^'*B),e)) --> (2*pi*0.00105*2.36*(15-2.44))/(log((100^2)/(2.94*2.93),e))

Evaluating ... ...

Q = 1.3800236174203

STEP 3: Convert Result to Output's Unit

1.3800236174203 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.3800236174203 ≈ 1.380024 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Flow in Wells » Interference Among Wells » Discharge through Each Well when Interference among Well is Present

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Created by Suraj Kumar

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)

Discharge through Each Well when Interference among Well is Present Formula

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Discharge through Each Well when Interference among Well is Present?

Discharge through Each Well when Interference among Well is Present calculator uses 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)) to calculate the Discharge, The Discharge through Each Well when Interference among Well is Present is defined as the value of discharge through the well when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Discharge through Each Well when Interference among Well is Present using this online calculator? To use this online calculator for Discharge through Each Well when Interference among Well is Present, enter Coefficient of Permeability in Environ. Engin. (K), Aquifer Thickness During Pumping (b_p), Aquifer Thickness (b_w), Depth of Water (h_w), Radius of Influence (R), Radius of Well in Eviron. Engin. (r^') & Distance Between Well (B) and hit the calculate button. Here is how the Discharge through Each Well when Interference among Well is Present calculation can be explained with given input values -> 1.380024 = (2*pi*0.00105*2.36*(15-2.44))/(log((100^2)/(2.94*2.93),e)).

FAQ

What is Discharge through Each Well when Interference among Well is Present?

The Discharge through Each Well when Interference among Well is Present is defined as the value of discharge through the well when we have prior information of other parameters used and is represented as Q = (2*pi*K*b_p*(b_w-h_w))/(log((R^2)/(r^'*B),e)) or 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)). 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, 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 Discharge through Each Well when Interference among Well is Present?

The Discharge through Each Well when Interference among Well is Present is defined as the value of discharge through the well when we have prior information of other parameters used is calculated using 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)). To calculate Discharge through Each Well when Interference among Well is Present, you need Coefficient of Permeability in Environ. Engin. (K), Aquifer Thickness During Pumping (b_p), Aquifer Thickness (b_w), Depth of Water (h_w), 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 Coefficient of Permeability in Environ. Engin, 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 Discharge?

In this formula, Discharge uses Coefficient of Permeability in Environ. Engin, 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 -

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))

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