Radius of Well of unconfined Aquifer with known Discharge Calculator

✖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%
✖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%
✖Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer.ⓘ Discharge for Fully Penetrating Gravity Well [Q_fe]			+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 of unconfined Aquifer with known Discharge [r]

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Radius of Well of unconfined Aquifer with known Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Well = Radius of Influence/exp((0.434*pi*Coefficient of Permeability*((Initial Piezometric Surface^2)-(Depth of Water^2)))/Discharge for Fully Penetrating Gravity Well)
r = R/exp((0.434*pi*K*((H^2)-(h_w^2)))/Q_fe)
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 - (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.
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.
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.
Discharge for Fully Penetrating Gravity Well - (Measured in Cubic Meter per Second) - Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer.

STEP 1: Convert Input(s) to Base Unit

Radius of Influence: 100 Meter --> 100 Meter 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
Discharge for Fully Penetrating Gravity Well: 6.12 Cubic Meter per Second --> 6.12 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = R/exp((0.434*pi*K*((H^2)-(h_w^2)))/Q_fe) --> 100/exp((0.434*pi*0.00105*((20^2)-(2.44^2)))/6.12)

Evaluating ... ...

r = 91.1943281102518

STEP 3: Convert Result to Output's Unit

91.1943281102518 Meter --> No Conversion Required

FINAL ANSWER

91.1943281102518 ≈ 91.19433 Meter <-- Radius of Well

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Fully Penetrating Artesian Gravity Well Calculators

Depth of Water in Well given Discharge for Fully Penetrating Well

LaTeX Go Depth of Water in Fully Penetrating Gravity Well = sqrt((2*Aquifer Thickness*Initial Piezometric Surface)-((Discharge by Fully Penetrating Well*log((Radius of Influence/Radius of Well),e))/(pi*Coefficient of Permeability))-(Aquifer Thickness)^2)

Thickness of Aquifer given Discharge for Fully Penetrating Well

LaTeX Go Initial Piezometric Surface = (((Discharge by Fully Penetrating Well*log((Radius of Influence/Radius of Well),e))/(pi*Coefficient of Permeability))+(Aquifer Thickness)^2+(Depth of Water in Fully Penetrating Gravity Well)^2)/(2*Aquifer Thickness)

Radius of Influence of unconfined aquifer with known discharge

LaTeX Go Radius of Influence = Radius of Well*exp((0.434*pi*Coefficient of Permeability*(Initial Piezometric Surface^2-Depth of Water in Fully Penetrating Gravity Well^2))/Discharge for Fully Penetrating Gravity Well)

Radius of Well of unconfined Aquifer with known Discharge

LaTeX Go Radius of Well = Radius of Influence/exp((0.434*pi*Coefficient of Permeability*((Initial Piezometric Surface^2)-(Depth of Water^2)))/Discharge for Fully Penetrating Gravity Well)

Radius of Well of unconfined Aquifer with known Discharge Formula

LaTeX Go

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 = Radius of Influence/exp((0.434*pi*Coefficient of Permeability*((Initial Piezometric Surface^2)-(Depth of Water^2)))/Discharge for Fully Penetrating Gravity Well) to calculate the Radius of Well, Radius of Well of unconfined Aquifer with known Discharge formula is defined as a measure of the distance from the center of the well to the point where the water level in the aquifer is not affected by the pumping of the well, providing insight into the aquifer's properties and flow behavior. Radius of Well 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 (R), Coefficient of Permeability (K), Initial Piezometric Surface (H), Depth of Water (h_w) & Discharge for Fully Penetrating Gravity Well (Q_fe) 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 -> 91.19433 = 100/exp((0.434*pi*0.00105*((20^2)-(2.44^2)))/6.12).

FAQ

What is Radius of Well of unconfined Aquifer with known Discharge?

Radius of Well of unconfined Aquifer with known Discharge formula is defined as a measure of the distance from the center of the well to the point where the water level in the aquifer is not affected by the pumping of the well, providing insight into the aquifer's properties and flow behavior and is represented as r = R/exp((0.434*pi*K*((H^2)-(h_w^2)))/Q_fe) or Radius of Well = Radius of Influence/exp((0.434*pi*Coefficient of Permeability*((Initial Piezometric Surface^2)-(Depth of Water^2)))/Discharge for Fully Penetrating Gravity Well). 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, 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 & Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer.

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

Radius of Well of unconfined Aquifer with known Discharge formula is defined as a measure of the distance from the center of the well to the point where the water level in the aquifer is not affected by the pumping of the well, providing insight into the aquifer's properties and flow behavior is calculated using Radius of Well = Radius of Influence/exp((0.434*pi*Coefficient of Permeability*((Initial Piezometric Surface^2)-(Depth of Water^2)))/Discharge for Fully Penetrating Gravity Well). To calculate Radius of Well of unconfined Aquifer with known Discharge, you need Radius of Influence (R), Coefficient of Permeability (K), Initial Piezometric Surface (H), Depth of Water (h_w) & Discharge for Fully Penetrating Gravity Well (Q_fe). With our tool, you need to enter the respective value for Radius of Influence, Coefficient of Permeability, Initial Piezometric Surface, Depth of Water & Discharge for Fully Penetrating Gravity Well 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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