Radius of Well given Aquifer Loss Coefficient Calculator

✖Radius of Influence refers to the maximum distance from a pumping well where the effects of pumping (such as drawdown) are significant, which helps in understanding the area affected.ⓘ Radius of Influence [r_i]			+10% -10%
✖Aquifer Loss Coefficient is constant for a given flow rate.ⓘ Aquifer Loss Coefficient [B]			+10% -10%
✖The Coefficient of Permeability refers to the measure how easily a fluid can flow through a porous material, such as soil or rock, also known as hydraulic conductivity.ⓘ Coefficient of Permeability [k]			+10% -10%
✖The Aquifer Thickness (at Midpoint between Equipotential lines) refers to the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.ⓘ Aquifer Thickness [b_w]			+10% -10%

✖The Radius of Well refers to the distance from center of well to its outer boundary.ⓘ Radius of Well given Aquifer Loss Coefficient [r^']

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Radius of Well given Aquifer Loss Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Well = Radius of Influence/exp(Aquifer Loss Coefficient*2*pi*Coefficient of Permeability*Aquifer Thickness)
r^' = r_i/exp(B*2*pi*k*b_w)
This formula uses 1 Constants, 1 Functions, 5 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 distance from center of well to its outer boundary.
Radius of Influence - (Measured in Meter) - Radius of Influence refers to the maximum distance from a pumping well where the effects of pumping (such as drawdown) are significant, which helps in understanding the area affected.
Aquifer Loss Coefficient - Aquifer Loss Coefficient is constant for a given flow rate.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability refers to the measure how easily a fluid can flow through a porous material, such as soil or rock, also known as hydraulic conductivity.
Aquifer Thickness - (Measured in Meter) - The Aquifer Thickness (at Midpoint between Equipotential lines) refers to 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

Radius of Influence: 2.92 Meter --> 2.92 Meter No Conversion Required
Aquifer Loss Coefficient: 28.25 --> No Conversion Required
Coefficient of Permeability: 0.01 Centimeter per Second --> 0.0001 Meter per Second (Check conversion here)
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r^' = r_i/exp(B*2*pi*k*b_w) --> 2.92/exp(28.25*2*pi*0.0001*15)

Evaluating ... ...

r^' = 2.23744287225634

STEP 3: Convert Result to Output's Unit

2.23744287225634 Meter --> No Conversion Required

FINAL ANSWER

2.23744287225634 ≈ 2.237443 Meter <-- Radius of Well

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Aquifer Loss Calculators

Aquifer Loss Coefficient

LaTeX Go Aquifer Loss Coefficient = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)

Aquifer Loss given Aquifer Loss Coefficient

LaTeX Go Aquifer Loss = Aquifer Loss Coefficient*Discharge

Aquifer Loss given Drawdown

LaTeX Go Aquifer Loss = Total Drawdown-Head Loss in Well

Drawdown given Well Loss

LaTeX Go Total Drawdown = Aquifer Loss+Head Loss in Well

Radius of Well given Aquifer Loss Coefficient Formula

LaTeX Go

Radius of Well = Radius of Influence/exp(Aquifer Loss Coefficient*2*pi*Coefficient of Permeability*Aquifer Thickness)
r^' = r_i/exp(B*2*pi*k*b_w)

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 given Aquifer Loss Coefficient?

Radius of Well given Aquifer Loss Coefficient calculator uses Radius of Well = Radius of Influence/exp(Aquifer Loss Coefficient*2*pi*Coefficient of Permeability*Aquifer Thickness) to calculate the Radius of Well, The Radius of Well given Aquifer Loss Coefficient formula is defined as the measure of the effective radius of a well in an aquifer system, which is affected by the aquifer loss coefficient, a parameter that characterizes the resistance to flow in the aquifer. Radius of Well is denoted by r^' symbol.

How to calculate Radius of Well given Aquifer Loss Coefficient using this online calculator? To use this online calculator for Radius of Well given Aquifer Loss Coefficient, enter Radius of Influence (r_i), Aquifer Loss Coefficient (B), Coefficient of Permeability (k) & Aquifer Thickness (b_w) and hit the calculate button. Here is how the Radius of Well given Aquifer Loss Coefficient calculation can be explained with given input values -> 2.237443 = 2.92/exp(28.25*2*pi*0.0001*15).

FAQ

What is Radius of Well given Aquifer Loss Coefficient?

The Radius of Well given Aquifer Loss Coefficient formula is defined as the measure of the effective radius of a well in an aquifer system, which is affected by the aquifer loss coefficient, a parameter that characterizes the resistance to flow in the aquifer and is represented as r^' = r_i/exp(B*2*pi*k*b_w) or Radius of Well = Radius of Influence/exp(Aquifer Loss Coefficient*2*pi*Coefficient of Permeability*Aquifer Thickness). Radius of Influence refers to the maximum distance from a pumping well where the effects of pumping (such as drawdown) are significant, which helps in understanding the area affected, Aquifer Loss Coefficient is constant for a given flow rate, The Coefficient of Permeability refers to the measure how easily a fluid can flow through a porous material, such as soil or rock, also known as hydraulic conductivity & The Aquifer Thickness (at Midpoint between Equipotential lines) refers to the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.

How to calculate Radius of Well given Aquifer Loss Coefficient?

The Radius of Well given Aquifer Loss Coefficient formula is defined as the measure of the effective radius of a well in an aquifer system, which is affected by the aquifer loss coefficient, a parameter that characterizes the resistance to flow in the aquifer is calculated using Radius of Well = Radius of Influence/exp(Aquifer Loss Coefficient*2*pi*Coefficient of Permeability*Aquifer Thickness). To calculate Radius of Well given Aquifer Loss Coefficient, you need Radius of Influence (r_i), Aquifer Loss Coefficient (B), Coefficient of Permeability (k) & Aquifer Thickness (b_w). With our tool, you need to enter the respective value for Radius of Influence, Aquifer Loss Coefficient, 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.

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