Radius of Well of unconfined Aquifer with known Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Well in Eviron. Engin. = Radius of Influence in Eviron. Engin./exp((0.434*pi*Coefficient of Permeability*((Original Piezometric Head of the Well^2)-(Piezometric Head at Well)))/Discharge)
r' = ri/exp((0.434*pi*k*((h^2)-(hp)))/Q)
This formula uses 1 Constants, 1 Functions, 6 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 in Eviron. Engin. - (Measured in Meter) - Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.
Radius of Influence in Eviron. Engin. - (Measured in Meter) - Radius of Influence in Eviron. Engin.measured from the center of the well to the point where drawdown curve meets the original water table.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Original Piezometric Head of the Well - (Measured in Meter) - Original Piezometric Head of the Well is the head between impervious layer to original water table.
Piezometric Head at Well - (Measured in Meter) - Piezometric Head at Well is the head between impervious layer and drag down water table.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
STEP 1: Convert Input(s) to Base Unit
Radius of Influence in Eviron. Engin.: 2.92 Meter --> 2.92 Meter No Conversion Required
Coefficient of Permeability: 0.01 Centimeter per Second --> 0.0001 Meter per Second (Check conversion here)
Original Piezometric Head of the Well: 5 Meter --> 5 Meter No Conversion Required
Piezometric Head at Well: 2 Meter --> 2 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r' = ri/exp((0.434*pi*k*((h^2)-(hp)))/Q) --> 2.92/exp((0.434*pi*0.0001*((5^2)-(2)))/1.01)
Evaluating ... ...
r' = 2.91094778475183
STEP 3: Convert Result to Output's Unit
2.91094778475183 Meter --> No Conversion Required
FINAL ANSWER
2.91094778475183 2.910948 Meter <-- Radius of Well in Eviron. Engin.
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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4 Fully Penetrating Artesian - Gravity Well Calculators

Depth of Water in Well given Discharge for Fully Penetrating Well
Go Depth of Water = sqrt((2*Aquifer Thickness During Pumping*Initial Aquifer Thickness)- ((Discharge*log((Radius of Influence/Radius of Well in Eviron. Engin.),e))/(pi*Coefficient of Permeability))+(Aquifer Thickness During Pumping)^2)
Thickness of Aquifer given Discharge for Fully Penetrating Well
Go Initial Aquifer Thickness = (((Discharge*log((Radius of Influence/Radius of Well in Eviron. Engin.),e))/(pi*Coefficient of Permeability))+(Aquifer Thickness During Pumping)^2+(Depth of Water)^2)/(2*Aquifer Thickness During Pumping)
Radius of Influence of unconfined aquifer with known discharge
Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*exp((0.434*pi*Coefficient of Permeability*((Original Piezometric Head of the Well^2)-(Piezometric Head at Well)))/Discharge)
Radius of Well of unconfined Aquifer with known Discharge
Go Radius of Well in Eviron. Engin. = Radius of Influence in Eviron. Engin./exp((0.434*pi*Coefficient of Permeability*((Original Piezometric Head of the Well^2)-(Piezometric Head at Well)))/Discharge)

Radius of Well of unconfined Aquifer with known Discharge Formula

Radius of Well in Eviron. Engin. = Radius of Influence in Eviron. Engin./exp((0.434*pi*Coefficient of Permeability*((Original Piezometric Head of the Well^2)-(Piezometric Head at Well)))/Discharge)
r' = ri/exp((0.434*pi*k*((h^2)-(hp)))/Q)

What is Radius of Influence ?

The radius of influence and radius of investigation of a pumping well are fundamental concepts in hydrogeology with various uses in well hydraulics and aquifer testing.

How to Calculate Radius of Well of unconfined Aquifer with known Discharge?

Radius of Well of unconfined Aquifer with known Discharge calculator uses Radius of Well in Eviron. Engin. = Radius of Influence in Eviron. Engin./exp((0.434*pi*Coefficient of Permeability*((Original Piezometric Head of the Well^2)-(Piezometric Head at Well)))/Discharge) to calculate the Radius of Well in Eviron. Engin., The Radius of Well of unconfined aquifer with known discharge is defined as the value of radius of well when we have prior information of other parameters used. Radius of Well in Eviron. Engin. is denoted by r' symbol.

How to calculate Radius of Well of unconfined Aquifer with known Discharge using this online calculator? To use this online calculator for Radius of Well of unconfined Aquifer with known Discharge, enter Radius of Influence in Eviron. Engin. (ri), Coefficient of Permeability (k), Original Piezometric Head of the Well (h), Piezometric Head at Well (hp) & Discharge (Q) and hit the calculate button. Here is how the Radius of Well of unconfined Aquifer with known Discharge calculation can be explained with given input values -> 7.895447 = 2.92/exp((0.434*pi*0.0001*((5^2)-(2)))/1.01).

FAQ

What is Radius of Well of unconfined Aquifer with known Discharge?
The Radius of Well of unconfined aquifer with known discharge is defined as the value of radius of well when we have prior information of other parameters used and is represented as r' = ri/exp((0.434*pi*k*((h^2)-(hp)))/Q) or Radius of Well in Eviron. Engin. = Radius of Influence in Eviron. Engin./exp((0.434*pi*Coefficient of Permeability*((Original Piezometric Head of the Well^2)-(Piezometric Head at Well)))/Discharge). Radius of Influence in Eviron. Engin.measured from the center of the well to the point where drawdown curve meets the original water table, The Coefficient of Permeability of soil describes how easily a liquid will move through the soil, Original Piezometric Head of the Well is the head between impervious layer to original water table, Piezometric Head at Well is the head between impervious layer and drag down water table & Discharge is the rate of flow of a liquid.
How to calculate Radius of Well of unconfined Aquifer with known Discharge?
The Radius of Well of unconfined aquifer with known discharge is defined as the value of radius of well when we have prior information of other parameters used is calculated using Radius of Well in Eviron. Engin. = Radius of Influence in Eviron. Engin./exp((0.434*pi*Coefficient of Permeability*((Original Piezometric Head of the Well^2)-(Piezometric Head at Well)))/Discharge). To calculate Radius of Well of unconfined Aquifer with known Discharge, you need Radius of Influence in Eviron. Engin. (ri), Coefficient of Permeability (k), Original Piezometric Head of the Well (h), Piezometric Head at Well (hp) & Discharge (Q). With our tool, you need to enter the respective value for Radius of Influence in Eviron. Engin, Coefficient of Permeability, Original Piezometric Head of the Well, Piezometric Head at Well & Discharge 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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