Radius of Well given Discharge due to Spherical Flow in Well Calculator

✖Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells.ⓘ Discharge by Spherical Flow [Q_s]			+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%

✖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 given Discharge due to Spherical Flow in Well [r]

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Radius of Well given Discharge due to Spherical Flow in Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Well = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water))
r = Q_s/(2*pi*K*(H-h_w))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Discharge by Spherical Flow - (Measured in Cubic Meter per Second) - Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells.
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.

STEP 1: Convert Input(s) to Base Unit

Discharge by Spherical Flow: 0.34 Cubic Meter per Second --> 0.34 Cubic Meter per Second 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = Q_s/(2*pi*K*(H-h_w)) --> 0.34/(2*pi*0.00105*(20-2.44))

Evaluating ... ...

r = 2.93484546324137

STEP 3: Convert Result to Output's Unit

2.93484546324137 Meter --> No Conversion Required

FINAL ANSWER

2.93484546324137 ≈ 2.934845 Meter <-- Radius of Well

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Spherical Flow in a Well Calculators

Coefficient of Permeability given Discharge due to Spherical Flow in Well

LaTeX Go Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well*(Initial Piezometric Surface-Depth of Water))

Thickness of Aquifer given Discharge due to Spherical Flow in Well

LaTeX Go Initial Piezometric Surface = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well))

Radius of Well given Discharge due to Spherical Flow in Well

LaTeX Go Radius of Well = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water))

Discharge due to Spherical Flow in Well

LaTeX Go Discharge by Spherical Flow = 2*pi*Coefficient of Permeability*Radius of Well*(Initial Piezometric Surface-Depth of Water)

Radius of Well given Discharge due to Spherical Flow in Well Formula

LaTeX Go

Radius of Well = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water))
r = Q_s/(2*pi*K*(H-h_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 Discharge due to Spherical Flow in Well?

Radius of Well given Discharge due to Spherical Flow in Well calculator uses Radius of Well = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water)) to calculate the Radius of Well, Radius of Well given Discharge due to Spherical Flow in Well formula is defined as a method to estimate the effective radius of a well in a spherical flow pattern, which is essential in understanding the groundwater flow and its impact on the well's discharge rate. Radius of Well is denoted by r symbol.

How to calculate Radius of Well given Discharge due to Spherical Flow in Well using this online calculator? To use this online calculator for Radius of Well given Discharge due to Spherical Flow in Well, enter Discharge by Spherical Flow (Q_s), Coefficient of Permeability (K), Initial Piezometric Surface (H) & Depth of Water (h_w) and hit the calculate button. Here is how the Radius of Well given Discharge due to Spherical Flow in Well calculation can be explained with given input values -> 2.934845 = 0.34/(2*pi*0.00105*(20-2.44)).

FAQ

What is Radius of Well given Discharge due to Spherical Flow in Well?

Radius of Well given Discharge due to Spherical Flow in Well formula is defined as a method to estimate the effective radius of a well in a spherical flow pattern, which is essential in understanding the groundwater flow and its impact on the well's discharge rate and is represented as r = Q_s/(2*pi*K*(H-h_w)) or Radius of Well = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water)). Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells, 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.

How to calculate Radius of Well given Discharge due to Spherical Flow in Well?

Radius of Well given Discharge due to Spherical Flow in Well formula is defined as a method to estimate the effective radius of a well in a spherical flow pattern, which is essential in understanding the groundwater flow and its impact on the well's discharge rate is calculated using Radius of Well = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water)). To calculate Radius of Well given Discharge due to Spherical Flow in Well, you need Discharge by Spherical Flow (Q_s), Coefficient of Permeability (K), Initial Piezometric Surface (H) & Depth of Water (h_w). With our tool, you need to enter the respective value for Discharge by Spherical Flow, Coefficient of Permeability, Initial Piezometric Surface & Depth of Water 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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