Distance between well when Interference among three well is present Calculator

✖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%
✖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 at Three Well Interference is the sum of the individual well rates, adjusted for interference.ⓘ Discharge by Each Well at Three Well Interference [Q_th]			+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 well when Interference among three well is present [B]

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Formula

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Distance between well when Interference among three well is present

Formula

B = \sqrt{\frac{R^{3}}{\exp (\frac{2 \cdot π \cdot K \cdot b \cdot (H - h w)}{Q th}) \cdot r}}

Example

556.3077 m = \sqrt{\frac{{100 m}^{3}}{\exp (\frac{2 \cdot π \cdot 0.105 cm/s \cdot 15.0 m \cdot (20 m - 2.44 m)}{18.397 m³/s}) \cdot 2.94 m}}

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Distance between well when Interference among three well is present Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance Between Wells = sqrt((Radius of Influence^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/Discharge by Each Well at Three Well Interference)*Radius of Well))
B = sqrt((R^3)/(exp((2*pi*K*b*(H-h_w))/Q_th)*r))
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

Distance Between Wells - (Measured in Meter) - Distance Between Wells refers to the center to center distance between the well.
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.
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Influence: 100 Meter --> 100 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 at Three Well Interference: 18.397 Cubic Meter per Second --> 18.397 Cubic Meter per Second No Conversion Required
Radius of Well: 2.94 Meter --> 2.94 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = sqrt((R^3)/(exp((2*pi*K*b*(H-h_w))/Q_th)*r)) --> sqrt((100^3)/(exp((2*pi*0.00105*15*(20-2.44))/18.397)*2.94))

Evaluating ... ...

B = 556.307710359758

STEP 3: Convert Result to Output's Unit

556.307710359758 Meter --> No Conversion Required

FINAL ANSWER

556.307710359758 ≈ 556.3077 Meter <-- Distance Between Wells

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

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

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

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

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

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))

Distance between well 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.Here radius of influence is qualitatively defined as the maximum distance from a pumping well up to which the influence of pumping is significant.

How to Calculate Distance between well when Interference among three well is present?

Distance between well when Interference among three well is present calculator uses Distance Between Wells = sqrt((Radius of Influence^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/Discharge by Each Well at Three Well Interference)*Radius of Well)) to calculate the Distance Between Wells, Distance between well when Interference among three well is present formula is defined as a measure of the separation between wells in a multi-well system where interference occurs, taking into account the radius of influence, hydraulic conductivity, and other factors that affect fluid flow in the subsurface. Distance Between Wells is denoted by B symbol.

How to calculate Distance between well when Interference among three well is present using this online calculator? To use this online calculator for Distance between well when Interference among three well is present, enter Radius of Influence (R), Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w), Discharge by Each Well at Three Well Interference (Q_th) & Radius of Well (r) and hit the calculate button. Here is how the Distance between well when Interference among three well is present calculation can be explained with given input values -> 556.3077 = sqrt((100^3)/(exp((2*pi*0.00105*15*(20-2.44))/18.397)*2.94)).

FAQ

What is Distance between well when Interference among three well is present?

Distance between well when Interference among three well is present formula is defined as a measure of the separation between wells in a multi-well system where interference occurs, taking into account the radius of influence, hydraulic conductivity, and other factors that affect fluid flow in the subsurface and is represented as B = sqrt((R^3)/(exp((2*pi*K*b*(H-h_w))/Q_th)*r)) or Distance Between Wells = sqrt((Radius of Influence^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/Discharge by Each Well at Three Well Interference)*Radius of Well)). 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, 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 at Three Well Interference is the sum of the individual well rates, adjusted for 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.

How to calculate Distance between well when Interference among three well is present?

Distance between well when Interference among three well is present formula is defined as a measure of the separation between wells in a multi-well system where interference occurs, taking into account the radius of influence, hydraulic conductivity, and other factors that affect fluid flow in the subsurface is calculated using Distance Between Wells = sqrt((Radius of Influence^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/Discharge by Each Well at Three Well Interference)*Radius of Well)). To calculate Distance between well when Interference among three well is present, you need Radius of Influence (R), Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w), Discharge by Each Well at Three Well Interference (Q_th) & Radius of Well (r). With our tool, you need to enter the respective value for Radius of Influence, Coefficient of Permeability, Aquifer Thickness, Initial Piezometric Surface, Depth of Water, Discharge by Each Well at Three Well Interference & Radius of 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 Distance Between Wells?

In this formula, Distance Between Wells uses Radius of Influence, Coefficient of Permeability, Aquifer Thickness, Initial Piezometric Surface, Depth of Water, Discharge by Each Well at Three Well Interference & Radius of Well. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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