Radius of Influence when Interference among Well is Present Calculator

✖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%
✖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%
✖Discharge by Each Well when Two Well Interference is the sum of the individual well rates, adjusted for interference.ⓘ Discharge by Each Well when Two Well Interference [Q_t]			+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 when Interference among Well is Present [R]

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Radius of Influence when Interference among Well is Present Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Influence = sqrt((Radius of Well*Distance Between Wells)*exp((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/Discharge by Each Well when Two Well Interference))
R = sqrt((r*B)*exp((2*pi*K*b*(H-h_w))/Q_t))
This formula uses 1 Constants, 2 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
Discharge by Each Well when Two Well Interference - (Measured in Cubic Meter per Second) - Discharge by Each Well when Two Well Interference is the sum of the individual well rates, adjusted for interference.

STEP 1: Convert Input(s) to Base Unit

Radius of Well: 2.94 Meter --> 2.94 Meter No Conversion Required
Distance Between Wells: 2.93 Meter --> 2.93 Meter No Conversion Required
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
Discharge by Each Well when Two Well Interference: 12.26 Cubic Meter per Second --> 12.26 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = sqrt((r*B)*exp((2*pi*K*b*(H-h_w))/Q_t)) --> sqrt((2.94*2.93)*exp((2*pi*0.00105*15*(20-2.44))/12.26))

Evaluating ... ...

R = 3.15054777642181

STEP 3: Convert Result to Output's Unit

3.15054777642181 Meter --> No Conversion Required

FINAL ANSWER

3.15054777642181 ≈ 3.150548 Meter <-- Radius of Influence

(Calculation completed in 00.020 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))

Radius of Influence when Interference among Well is Present Formula

LaTeX Go

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 Well is Present?

Radius of Influence when Interference among Well is Present calculator uses Radius of Influence = sqrt((Radius of Well*Distance Between Wells)*exp((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/Discharge by Each Well when Two Well Interference)) to calculate the Radius of Influence, Radius of Influence when Interference among Well is Present formula is defined as a measure of the distance from the pumping well to the point where the drawdown of the water table is negligible, considering the interference effects of nearby wells in a groundwater flow system. Radius of Influence is denoted by R symbol.

How to calculate Radius of Influence when Interference among Well is Present using this online calculator? To use this online calculator for Radius of Influence when Interference among Well is Present, enter Radius of Well (r), Distance Between Wells (B), Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w) & Discharge by Each Well when Two Well Interference (Q_t) and hit the calculate button. Here is how the Radius of Influence when Interference among Well is Present calculation can be explained with given input values -> 3.150548 = sqrt((2.94*2.93)*exp((2*pi*0.00105*15*(20-2.44))/12.26)).

FAQ

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

Radius of Influence when Interference among Well is Present formula is defined as a measure of the distance from the pumping well to the point where the drawdown of the water table is negligible, considering the interference effects of nearby wells in a groundwater flow system and is represented as R = sqrt((r*B)*exp((2*pi*K*b*(H-h_w))/Q_t)) or Radius of Influence = sqrt((Radius of Well*Distance Between Wells)*exp((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/Discharge by Each Well when Two Well Interference)). 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, 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 & Discharge by Each Well when Two Well Interference is the sum of the individual well rates, adjusted for interference.

How to calculate Radius of Influence when Interference among Well is Present?

Radius of Influence when Interference among Well is Present formula is defined as a measure of the distance from the pumping well to the point where the drawdown of the water table is negligible, considering the interference effects of nearby wells in a groundwater flow system is calculated using Radius of Influence = sqrt((Radius of Well*Distance Between Wells)*exp((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/Discharge by Each Well when Two Well Interference)). To calculate Radius of Influence when Interference among Well is Present, you need Radius of Well (r), Distance Between Wells (B), Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w) & Discharge by Each Well when Two Well Interference (Q_t). With our tool, you need to enter the respective value for Radius of Well, Distance Between Wells, Coefficient of Permeability, Aquifer Thickness, Initial Piezometric Surface, Depth of Water & Discharge by Each Well when Two Well Interference 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 this formula, Radius of Influence uses Radius of Well, Distance Between Wells, Coefficient of Permeability, Aquifer Thickness, Initial Piezometric Surface, Depth of Water & Discharge by Each Well when Two Well Interference. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius of Influence = ((Radius of Well*Distance Between Wells^2)*exp((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/Discharge by Each Well at Three Well Interference))^(1/3)

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