Radius of Influence of unconfined aquifer with known discharge Calculator

✖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%
✖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 in Fully Penetrating Gravity Well refers to the vertical distance from the water table to the bottom of the well, which extends through the entire thickness of the unconfined aquifer.ⓘ Depth of Water in Fully Penetrating Gravity Well [h_fw]			+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 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 of unconfined aquifer with known discharge [R]

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Radius of Influence of unconfined aquifer with known discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R = r*exp((0.434*pi*K*(H^2-h_fw^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 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.
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 in Fully Penetrating Gravity Well - (Measured in Meter) - Depth of Water in Fully Penetrating Gravity Well refers to the vertical distance from the water table to the bottom of the well, which extends through the entire thickness of the unconfined aquifer.
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 Well: 2.94 Meter --> 2.94 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 in Fully Penetrating Gravity Well: 17.98 Meter --> 17.98 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_fw^2))/Q_fe) --> 2.94*exp((0.434*pi*0.00105*(20^2-17.98^2))/6.12)

Evaluating ... ...

R = 2.99323950843247

STEP 3: Convert Result to Output's Unit

2.99323950843247 Meter --> No Conversion Required

FINAL ANSWER

2.99323950843247 ≈ 2.99324 Meter <-- Radius of Influence

(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 Influence 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 Influence of unconfined aquifer with known discharge?

Radius of Influence of unconfined aquifer with known discharge calculator uses 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) to calculate the Radius of Influence, Radius of Influence of unconfined aquifer with known discharge formula is defined as the distance from the center of a pumping well to the point where the drawdown of the water table is negligible, which is a critical parameter in understanding the flow of groundwater in unconfined aquifers. Radius of Influence is denoted by R symbol.

How to calculate Radius of Influence of unconfined aquifer with known discharge using this online calculator? To use this online calculator for Radius of Influence of unconfined aquifer with known discharge, enter Radius of Well (r), Coefficient of Permeability (K), Initial Piezometric Surface (H), Depth of Water in Fully Penetrating Gravity Well (h_fw) & Discharge for Fully Penetrating Gravity Well (Q_fe) and hit the calculate button. Here is how the Radius of Influence of unconfined aquifer with known discharge calculation can be explained with given input values -> 2.99324 = 2.94*exp((0.434*pi*0.00105*(20^2-17.98^2))/6.12).

FAQ

What is Radius of Influence of unconfined aquifer with known discharge?

Radius of Influence of unconfined aquifer with known discharge formula is defined as the distance from the center of a pumping well to the point where the drawdown of the water table is negligible, which is a critical parameter in understanding the flow of groundwater in unconfined aquifers and is represented as R = r*exp((0.434*pi*K*(H^2-h_fw^2))/Q_fe) or 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). The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius, 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 in Fully Penetrating Gravity Well refers to the vertical distance from the water table to the bottom of the well, which extends through the entire thickness of the unconfined aquifer & 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 Influence of unconfined aquifer with known discharge?

Radius of Influence of unconfined aquifer with known discharge formula is defined as the distance from the center of a pumping well to the point where the drawdown of the water table is negligible, which is a critical parameter in understanding the flow of groundwater in unconfined aquifers is calculated using 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). To calculate Radius of Influence of unconfined aquifer with known discharge, you need Radius of Well (r), Coefficient of Permeability (K), Initial Piezometric Surface (H), Depth of Water in Fully Penetrating Gravity Well (h_fw) & Discharge for Fully Penetrating Gravity Well (Q_fe). With our tool, you need to enter the respective value for Radius of Well, Coefficient of Permeability, Initial Piezometric Surface, Depth of Water in Fully Penetrating Gravity Well & 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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