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

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Well in Eviron. Engin. = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*(Thickness of Aquifer-Depth of Water))
r' = Qs/(2*pi*K*(H-hw))
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Discharge by Spherical Flow - (Measured in Cubic Meter per Second) - Discharge by Spherical Flow is the discharge for spherical flow in well.
Coefficient of Permeability in Environ. Engin. - (Measured in Meter per Second) - Coefficient of Permeability in Environ. Engin. of soil describes how easily a liquid will move through the soil.
Thickness of Aquifer - (Measured in Meter) - Thickness of Aquifer measured from permeable layer to the initial level of water table.
Depth of Water - (Measured in Meter) - Depth of Water 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 in Environ. Engin.: 0.105 Centimeter per Second --> 0.00105 Meter per Second (Check conversion here)
Thickness of Aquifer: 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' = Qs/(2*pi*K*(H-hw)) --> 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 in Eviron. Engin.
(Calculation completed in 00.004 seconds)

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19 Spherical Flow in a Well Calculators

Discharge by Radial Flow given Discharge by Spherical Flow
Go Discharge = Discharge by Spherical Flow/((Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e))
Aquifer Thickness given Discharge by Spherical Flow
Go Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./(Discharge by Spherical Flow/Discharge))*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)
Discharge by Spherical Flow
Go Discharge by Spherical Flow = Discharge*(Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)
Radius of Influence given Discharge by Spherical Flow
Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*exp(((Discharge by Spherical Flow/Discharge at Time t=0)*Aquifer Thickness During Pumping)/Radius of Well in Eviron. Engin.)
Discharge by Spherical Flow with Base 10
Go Discharge by Spherical Flow = 2.3*Discharge*(Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)
Discharge by Radial Flow given Discharge by Spherical Flow with Base 10
Go Discharge = Discharge by Spherical Flow/(2.3*(Radius of Well in Eviron. Engin./Aquifer Thickness)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10))
Aquifer Thickness given Discharge by Spherical Flow with Base 10
Go Aquifer Thickness = 2.3*(Radius of Well in Eviron. Engin./(Discharge by Spherical Flow/Discharge))*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)
Radius of Influence given Discharge by Spherical Flow with Base 10
Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*10^(((Discharge by Spherical Flow/Discharge at Time t=0) *Aquifer Thickness)/(2.3*Radius of Well in Eviron. Engin.))
Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow
Go Ratio of discharge = (Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)
Aquifer Thickness given Ratio of Discharge
Go Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)
Radius of Influence given Ratio of Discharge
Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*exp((Ratio of discharge*Aquifer Thickness During Pumping)/Radius of Well in Eviron. Engin.)
Depth of Water in Well given Discharge due to Spherical Flow in Well
Go Depth of Water = Thickness of Aquifer-(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.))
Thickness of Aquifer given Discharge due to Spherical Flow in Well
Go Thickness of Aquifer = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.))
Radius of Well given Discharge due to Spherical Flow in Well
Go Radius of Well in Eviron. Engin. = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*(Thickness of Aquifer-Depth of Water))
Discharge due to Spherical Flow in Well
Go Discharge by Spherical Flow = 2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water)
Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10
Go Ratio of discharge = 2.3*(Radius of Well in Eviron. Engin./Aquifer Thickness)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)
Radius of Influence given Ratio of Discharge with Base 10
Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*10^((Ratio of discharge*Aquifer Thickness During Pumping)/(2.3*Radius of Well in Eviron. Engin.))
Aquifer Thickness given Ratio of Discharge with Base 10
Go Aquifer Thickness = 2.3*(Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)
Coefficient of Permeability given Discharge due to Spherical Flow in Well
Go Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water))

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

Radius of Well in Eviron. Engin. = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*(Thickness of Aquifer-Depth of Water))
r' = Qs/(2*pi*K*(H-hw))

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 in Eviron. Engin. = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*(Thickness of Aquifer-Depth of Water)) to calculate the Radius of Well in Eviron. Engin., The Radius of Well given Discharge due to Spherical Flow in Well 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 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 (Qs), Coefficient of Permeability in Environ. Engin. (K), Thickness of Aquifer (H) & Depth of Water (hw) 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 -> 3.031523 = 0.34/(2*pi*0.00105*(20-2.44)).

FAQ

What is Radius of Well given Discharge due to Spherical Flow in Well?
The Radius of Well given Discharge due to Spherical Flow in Well is defined as the value of radius of well when we have prior information of other parameters used and is represented as r' = Qs/(2*pi*K*(H-hw)) or Radius of Well in Eviron. Engin. = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*(Thickness of Aquifer-Depth of Water)). Discharge by Spherical Flow is the discharge for spherical flow in well, Coefficient of Permeability in Environ. Engin. of soil describes how easily a liquid will move through the soil, Thickness of Aquifer measured from permeable layer to the initial level of water table & Depth of Water in the well measured above the impermeable layer.
How to calculate Radius of Well given Discharge due to Spherical Flow in Well?
The Radius of Well given Discharge due to Spherical Flow in Well 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. = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*(Thickness of Aquifer-Depth of Water)). To calculate Radius of Well given Discharge due to Spherical Flow in Well, you need Discharge by Spherical Flow (Qs), Coefficient of Permeability in Environ. Engin. (K), Thickness of Aquifer (H) & Depth of Water (hw). With our tool, you need to enter the respective value for Discharge by Spherical Flow, Coefficient of Permeability in Environ. Engin, Thickness of Aquifer & 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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