Discharge through Each Well when Interference among Three Well is Present Calculator

✖Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces.ⓘ Coefficient of Permeability [K]			+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]			+10% -10%
✖The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence.ⓘ Initial Piezometric Surface [H]			+10% -10%
✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%
✖The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible.ⓘ Radius of Influence [R]			+10% -10%
✖The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius.ⓘ Radius of Well [r]			+10% -10%
✖Distance Between Wells refers to the center to center distance between the well.ⓘ Distance Between Wells [B]			+10% -10%

✖Discharge by Each Well at Three Well Interference is the sum of the individual well rates, adjusted for interference.ⓘ Discharge through Each Well when Interference among Three Well is Present [Q_th]

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Discharge through Each Well when Interference among Three Well is Present Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge by Each Well at Three Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e))
Q_th = (2*pi*K*b*(H-h_w))/(log((R^3)/(r*B^2),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 by Each Well at Three Well Interference - (Measured in Cubic Meter per Second) - Discharge by Each Well at Three Well Interference is the sum of the individual well rates, adjusted for interference.
Coefficient of Permeability - (Measured in Meter per Second) - Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces.
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.
Initial Piezometric Surface - (Measured in Meter) - The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence.
Depth of Water - (Measured in Meter) - Depth of Water is the depth in the well measured above the impermeable layer.
Radius of Influence - (Measured in Meter) - The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible.
Radius of Well - (Measured in Meter) - The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius.
Distance Between Wells - (Measured in Meter) - Distance Between Wells refers to the center to center distance between the well.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability: 0.105 Centimeter per Second --> 0.00105 Meter per Second (Check conversion here)
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required
Initial Piezometric Surface: 20 Meter --> 20 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: 2.94 Meter --> 2.94 Meter No Conversion Required
Distance Between Wells: 2.93 Meter --> 2.93 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_th = (2*pi*K*b*(H-h_w))/(log((R^3)/(r*B^2),e)) --> (2*pi*0.00105*15*(20-2.44))/(log((100^3)/(2.94*2.93^2),e))

Evaluating ... ...

Q_th = 18.3976263629911

STEP 3: Convert Result to Output's Unit

18.3976263629911 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

18.3976263629911 ≈ 18.39763 Cubic Meter per Second <-- Discharge by Each Well at Three Well Interference

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Interference Among Wells Calculators

Thickness of Aquifer from Impermeable Layer when Interference among Well is Present

LaTeX Go Initial Piezometric Surface = Depth of Water+((Discharge by Each Well when Two Well Interference*log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness))

Discharge through Each Well when Interference among Well is Present

LaTeX Go Discharge by Each Well when Two Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))

Coefficient of Permeability when Interference among Well is Present

LaTeX Go Coefficient of Permeability = Discharge by Each Well when Two Well Interference*(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))

Aquifer Thickness when Interference among Well is Present

LaTeX Go Aquifer Thickness = Discharge by Each Well when Two Well Interference*(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water))

Discharge through Each Well when Interference among Three Well is Present Formula

LaTeX Go

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 Three Well is Present?

Discharge through Each Well when Interference among Three Well is Present calculator uses Discharge by Each Well at Three Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e)) to calculate the Discharge by Each Well at Three Well Interference, Discharge through Each Well when Interference among Three Well is Present formula is defined as a measure of the rate of fluid flow from each well in a multi-well system where the wells interfere with each other, affecting the overall flow rate. Discharge by Each Well at Three Well Interference is denoted by Q_th symbol.

How to calculate Discharge through Each Well when Interference among Three Well is Present using this online calculator? To use this online calculator for Discharge through Each Well when Interference among Three Well is Present, enter Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w), Radius of Influence (R), Radius of Well (r) & Distance Between Wells (B) and hit the calculate button. Here is how the Discharge through Each Well when Interference among Three Well is Present calculation can be explained with given input values -> 18.39763 = (2*pi*0.00105*15*(20-2.44))/(log((100^3)/(2.94*2.93^2),e)).

FAQ

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

Discharge through Each Well when Interference among Three Well is Present formula is defined as a measure of the rate of fluid flow from each well in a multi-well system where the wells interfere with each other, affecting the overall flow rate and is represented as Q_th = (2*pi*K*b*(H-h_w))/(log((R^3)/(r*B^2),e)) or Discharge by Each Well at Three Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e)). Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces, 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, The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence, Depth of Water is the depth in the well measured above the impermeable layer, The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible, The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius & Distance Between Wells refers to the center to center distance between the well.

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

Discharge through Each Well when Interference among Three Well is Present formula is defined as a measure of the rate of fluid flow from each well in a multi-well system where the wells interfere with each other, affecting the overall flow rate is calculated using Discharge by Each Well at Three Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e)). To calculate Discharge through Each Well when Interference among Three Well is Present, you need Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w), Radius of Influence (R), Radius of Well (r) & Distance Between Wells (B). With our tool, you need to enter the respective value for Coefficient of Permeability, Aquifer Thickness, Initial Piezometric Surface, Depth of Water, Radius of Influence, Radius of Well & Distance Between Wells 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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