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

✖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 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%
✖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.ⓘ Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present [H]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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 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.

STEP 1: Convert Input(s) to Base Unit

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 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
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = h_w+((Q_th*log((R^3)/(r*B^2),e))/(2*pi*K*b)) --> 2.44+((18.397*log((100^3)/(2.94*2.93^2),e))/(2*pi*0.00105*15))

Evaluating ... ...

H = 19.9994021547179

STEP 3: Convert Result to Output's Unit

19.9994021547179 Meter --> No Conversion Required

FINAL ANSWER

19.9994021547179 ≈ 19.9994 Meter <-- Initial Piezometric Surface

(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))

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

Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present calculator uses Initial Piezometric Surface = Depth of Water+((Discharge by Each Well at Three Well Interference*log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)) to calculate the Initial Piezometric Surface, Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present formula is defined as a measure of the distance from the impermeable layer to the bottom of the aquifer when three wells are interfering with each other, which is essential in understanding the flow of fluids in wells and aquifers. Initial Piezometric Surface is denoted by H symbol.

How to calculate Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present using this online calculator? To use this online calculator for Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present, enter Depth of Water (h_w), Discharge by Each Well at Three Well Interference (Q_th), Radius of Influence (R), Radius of Well (r), Distance Between Wells (B), Coefficient of Permeability (K) & Aquifer Thickness (b) and hit the calculate button. Here is how the Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present calculation can be explained with given input values -> 19.9994 = 2.44+((18.397*log((100^3)/(2.94*2.93^2),e))/(2*pi*0.00105*15)).

FAQ

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

Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present formula is defined as a measure of the distance from the impermeable layer to the bottom of the aquifer when three wells are interfering with each other, which is essential in understanding the flow of fluids in wells and aquifers and is represented as H = h_w+((Q_th*log((R^3)/(r*B^2),e))/(2*pi*K*b)) or Initial Piezometric Surface = Depth of Water+((Discharge by Each Well at Three Well Interference*log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)). 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 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, 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.

How to calculate Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present?

Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present formula is defined as a measure of the distance from the impermeable layer to the bottom of the aquifer when three wells are interfering with each other, which is essential in understanding the flow of fluids in wells and aquifers is calculated using Initial Piezometric Surface = Depth of Water+((Discharge by Each Well at Three Well Interference*log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)). To calculate Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present, you need Depth of Water (h_w), Discharge by Each Well at Three Well Interference (Q_th), Radius of Influence (R), Radius of Well (r), Distance Between Wells (B), Coefficient of Permeability (K) & Aquifer Thickness (b). With our tool, you need to enter the respective value for Depth of Water, Discharge by Each Well at Three Well Interference, Radius of Influence, Radius of Well, Distance Between Wells, Coefficient of Permeability & Aquifer Thickness 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 Initial Piezometric Surface?

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

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))

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