Depth of Water in Well when Interference among Well is Present Calculator

✖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%
✖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 [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%

✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water in Well when Interference among Well is Present [h_w]

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Depth of Water in Well when Interference among Well is Present Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Water = Initial Piezometric Surface-((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))
h_w = H-((Q_t*log((R^2)/(r*B),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

Depth of Water - (Measured in Meter) - Depth of Water is the depth in the well measured above the impermeable layer.
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.
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.
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

Initial Piezometric Surface: 20 Meter --> 20 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
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_w = H-((Q_t*log((R^2)/(r*B),e))/(2*pi*K*b)) --> 20-((12.26*log((100^2)/(2.94*2.93),e))/(2*pi*0.00105*15))

Evaluating ... ...

h_w = 2.44445426331082

STEP 3: Convert Result to Output's Unit

2.44445426331082 Meter --> No Conversion Required

FINAL ANSWER

2.44445426331082 ≈ 2.444454 Meter <-- Depth of Water

(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

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))

Depth of Water in Well when Interference among Well is Present Formula

LaTeX Go

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Depth of Water in Well when Interference among Well is Present?

Depth of Water in Well when Interference among Well is Present calculator uses Depth of Water = Initial Piezometric Surface-((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)) to calculate the Depth of Water, Depth of Water in Well when Interference among Well is Present formula is defined as the vertical distance from the ground surface to the water level in a well, considering the interference effects from nearby wells on the water flow. It's an important parameter in well hydraulics, helping to determine the well's yield and overall performance. Depth of Water is denoted by h_w symbol.

How to calculate Depth of Water in Well when Interference among Well is Present using this online calculator? To use this online calculator for Depth of Water in Well when Interference among Well is Present, enter Initial Piezometric Surface (H), Discharge by Each Well when Two Well Interference (Q_t), 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 Depth of Water in Well when Interference among Well is Present calculation can be explained with given input values -> 2.444454 = 20-((12.26*log((100^2)/(2.94*2.93),e))/(2*pi*0.00105*15)).

FAQ

What is Depth of Water in Well when Interference among Well is Present?

Depth of Water in Well when Interference among Well is Present formula is defined as the vertical distance from the ground surface to the water level in a well, considering the interference effects from nearby wells on the water flow. It's an important parameter in well hydraulics, helping to determine the well's yield and overall performance and is represented as h_w = H-((Q_t*log((R^2)/(r*B),e))/(2*pi*K*b)) or Depth of Water = Initial Piezometric Surface-((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)). The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence, Discharge by Each Well when Two 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 Depth of Water in Well when Interference among Well is Present?

Depth of Water in Well when Interference among Well is Present formula is defined as the vertical distance from the ground surface to the water level in a well, considering the interference effects from nearby wells on the water flow. It's an important parameter in well hydraulics, helping to determine the well's yield and overall performance is calculated using Depth of Water = Initial Piezometric Surface-((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)). To calculate Depth of Water in Well when Interference among Well is Present, you need Initial Piezometric Surface (H), Discharge by Each Well when Two Well Interference (Q_t), 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 Initial Piezometric Surface, Discharge by Each Well when Two 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 Depth of Water?

In this formula, Depth of Water uses Initial Piezometric Surface, Discharge by Each Well when Two 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 -

Depth of Water = Initial Piezometric Surface-((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))

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