Aquifer Thickness when Interference among Three Well is Present Calculator

✖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%
✖Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces.ⓘ Coefficient of Permeability [K]			+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%

✖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 when Interference among Three Well is Present [b]

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Aquifer Thickness when Interference among Three Well is Present Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Discharge by Each Well at Three Well Interference: 18.397 Cubic Meter per Second --> 18.397 Cubic Meter per Second No Conversion Required
Coefficient of Permeability: 0.105 Centimeter per Second --> 0.00105 Meter per Second (Check conversion here)
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

b = Q_th/((2*pi*K*(H-h_w))/(log((R^3)/(r*B^2),e))) --> 18.397/((2*pi*0.00105*(20-2.44))/(log((100^3)/(2.94*2.93^2),e)))

Evaluating ... ...

b = 14.9994893121166

STEP 3: Convert Result to Output's Unit

14.9994893121166 Meter --> No Conversion Required

FINAL ANSWER

14.9994893121166 ≈ 14.99949 Meter <-- Aquifer Thickness

(Calculation completed in 00.112 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

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))

Aquifer Thickness when Interference among Three Well is Present Formula

LaTeX Go

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 Aquifer Thickness when Interference among Three Well is Present?

Aquifer Thickness when Interference among Three Well is Present calculator uses Aquifer Thickness = Discharge by Each Well at Three Well Interference/((2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e))) to calculate the Aquifer Thickness, Aquifer Thickness when Interference among Three Well is Present formula is defined as a measure of the thickness of an aquifer in a scenario where three wells are interfering with each other, which is essential in understanding the flow of fluids in wells and its impact on the surrounding environment. Aquifer Thickness is denoted by b symbol.

How to calculate Aquifer Thickness when Interference among Three Well is Present using this online calculator? To use this online calculator for Aquifer Thickness when Interference among Three Well is Present, enter Discharge by Each Well at Three Well Interference (Q_th), Coefficient of Permeability (K), 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 Aquifer Thickness when Interference among Three Well is Present calculation can be explained with given input values -> 14.99949 = 18.397/((2*pi*0.00105*(20-2.44))/(log((100^3)/(2.94*2.93^2),e))).

FAQ

What is Aquifer Thickness when Interference among Three Well is Present?

Aquifer Thickness when Interference among Three Well is Present formula is defined as a measure of the thickness of an aquifer in a scenario where three wells are interfering with each other, which is essential in understanding the flow of fluids in wells and its impact on the surrounding environment and is represented as b = Q_th/((2*pi*K*(H-h_w))/(log((R^3)/(r*B^2),e))) or Aquifer Thickness = Discharge by Each Well at Three Well Interference/((2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e))). Discharge by Each Well at Three Well Interference is the sum of the individual well rates, adjusted for interference, Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces, 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 Aquifer Thickness when Interference among Three Well is Present?

Aquifer Thickness when Interference among Three Well is Present formula is defined as a measure of the thickness of an aquifer in a scenario where three wells are interfering with each other, which is essential in understanding the flow of fluids in wells and its impact on the surrounding environment is calculated using Aquifer Thickness = Discharge by Each Well at Three Well Interference/((2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e))). To calculate Aquifer Thickness when Interference among Three Well is Present, you need Discharge by Each Well at Three Well Interference (Q_th), Coefficient of Permeability (K), 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 Discharge by Each Well at Three Well Interference, Coefficient of Permeability, 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.

How many ways are there to calculate Aquifer Thickness?

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

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))

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