Radius of Well when Interference among 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 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%
✖Distance Between Wells refers to the center to center distance between the well.ⓘ Distance Between Wells [B]			+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 when Interference among well is present [r]

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Formula

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Radius of Well when Interference among well is present

Formula

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

Example

2961.933 m = \frac{{100 m}^{2}}{\exp (\frac{2 \cdot π \cdot 0.105 cm/s \cdot 15.0 m \cdot (20 m - 2.44 m)}{12.26 m³/s}) \cdot 2.93 m}

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Radius of Well when Interference among well is present Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Well = (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)*Distance Between Wells)
r = (R^2)/(exp((2*pi*K*b*(H-h_w))/Q_t)*B)
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 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.
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 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.
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

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 when Two Well Interference: 12.26 Cubic Meter per Second --> 12.26 Cubic Meter per Second No Conversion Required
Distance Between Wells: 2.93 Meter --> 2.93 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (R^2)/(exp((2*pi*K*b*(H-h_w))/Q_t)*B) --> (100^2)/(exp((2*pi*0.00105*15*(20-2.44))/12.26)*2.93)

Evaluating ... ...

r = 2961.93272932216

STEP 3: Convert Result to Output's Unit

2961.93272932216 Meter --> No Conversion Required

FINAL ANSWER

2961.93272932216 ≈ 2961.933 Meter <-- Radius of Well

(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

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))

Radius of Well when Interference among well is present Formula

What is Aquifer?

An aquifer is a body of rock and/or sediment that holds groundwater. Groundwater is the word used to describe precipitation that has infiltrated the soil beyond the surface and collected in empty spaces underground.

How to Calculate Radius of Well when Interference among well is present?

Radius of Well when Interference among well is present calculator uses Radius of Well = (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)*Distance Between Wells) to calculate the Radius of Well, Radius of Well when Interference among well is present formula is defined as a measure of the effective radius of a well in a multi-well system, considering the interference effects between wells on the flow of fluid in the reservoir. Radius of Well is denoted by r symbol.

How to calculate Radius of Well when Interference among well is present using this online calculator? To use this online calculator for Radius of Well when Interference among 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 when Two Well Interference (Q_t) & Distance Between Wells (B) and hit the calculate button. Here is how the Radius of Well when Interference among well is present calculation can be explained with given input values -> 2961.933 = (100^2)/(exp((2*pi*0.00105*15*(20-2.44))/12.26)*2.93).

FAQ

What is Radius of Well when Interference among well is present?

Radius of Well when Interference among well is present formula is defined as a measure of the effective radius of a well in a multi-well system, considering the interference effects between wells on the flow of fluid in the reservoir and is represented as r = (R^2)/(exp((2*pi*K*b*(H-h_w))/Q_t)*B) or Radius of Well = (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)*Distance Between Wells). 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 when Two Well Interference is the sum of the individual well rates, adjusted for interference & Distance Between Wells refers to the center to center distance between the well.

How to calculate Radius of Well when Interference among well is present?

Radius of Well when Interference among well is present formula is defined as a measure of the effective radius of a well in a multi-well system, considering the interference effects between wells on the flow of fluid in the reservoir is calculated using Radius of Well = (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)*Distance Between Wells). To calculate Radius of Well when Interference among 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 when Two Well Interference (Q_t) & Distance Between Wells (B). 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 when Two Well Interference & Distance Between Wells 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 Well?

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

Radius of Well = (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)*Distance Between Wells^2)

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