Radius of Influence given Discharge by Spherical Flow with Base 10 Calculator

✖Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well in Eviron. Engin. [r^']			+10% -10%
✖Discharge by Spherical Flow is the discharge for spherical flow in well.ⓘ Discharge by Spherical Flow [Q_s]			+10% -10%
✖Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.ⓘ Discharge at Time t=0 [Q₀]			+10% -10%
✖Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.ⓘ Aquifer Thickness [b_w]			+10% -10%

✖Radius of Influence in Eviron. Engin.measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence given Discharge by Spherical Flow with Base 10 [r_i]

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Radius of Influence given Discharge by Spherical Flow with Base 10

Formula

`"r"_{"i"} = "r"^{"'"}*10^((("Q"_{"s"}/"Q"_{"0"})*"b"_{"w"})/(2.3*"r"^{"'"}))`

Example

`"3.043909m"="2.94m"*10^((("0.34m³/s"/"50m³/s")*"15.0m")/(2.3*"2.94m"))`

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Radius of Influence given Discharge by Spherical Flow with Base 10 Solution

STEP 0: Pre-Calculation Summary

Formula Used

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.))
r_i = r^'*10^(((Q_s/Q₀)*b_w)/(2.3*r^'))
This formula uses 5 Variables

Variables Used

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.
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.
Discharge at Time t=0 - (Measured in Cubic Meter per Second) - Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.
Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.

STEP 1: Convert Input(s) to Base Unit

Radius of Well in Eviron. Engin.: 2.94 Meter --> 2.94 Meter No Conversion Required
Discharge by Spherical Flow: 0.34 Cubic Meter per Second --> 0.34 Cubic Meter per Second No Conversion Required
Discharge at Time t=0: 50 Cubic Meter per Second --> 50 Cubic Meter per Second No Conversion Required
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = r^'*10^(((Q_s/Q₀)*b_w)/(2.3*r^')) --> 2.94*10^(((0.34/50)*15)/(2.3*2.94))

Evaluating ... ...

r_i = 3.04390872156895

STEP 3: Convert Result to Output's Unit

3.04390872156895 Meter --> No Conversion Required

FINAL ANSWER

3.04390872156895 ≈ 3.043909 Meter <-- Radius of Influence in Eviron. Engin.

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Flow in Wells » Spherical Flow in a Well » Radius of Influence given Discharge by Spherical Flow with Base 10

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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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< 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 Influence given Discharge by Spherical Flow with Base 10 Formula

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 given Discharge by Spherical Flow with Base 10?

Radius of Influence given Discharge by Spherical Flow with Base 10 calculator uses 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.)) to calculate the Radius of Influence in Eviron. Engin., The Radius of Influence given Discharge by Spherical Flow with Base 10 calculates the value of radius of influence when we have prior information of other parameters used. Radius of Influence in Eviron. Engin. is denoted by r_i symbol.

How to calculate Radius of Influence given Discharge by Spherical Flow with Base 10 using this online calculator? To use this online calculator for Radius of Influence given Discharge by Spherical Flow with Base 10, enter Radius of Well in Eviron. Engin. (r^'), Discharge by Spherical Flow (Q_s), Discharge at Time t=0 (Q₀) & Aquifer Thickness (b_w) and hit the calculate button. Here is how the Radius of Influence given Discharge by Spherical Flow with Base 10 calculation can be explained with given input values -> 3.043909 = 2.94*10^(((0.34/50)*15)/(2.3*2.94)).

FAQ

What is Radius of Influence given Discharge by Spherical Flow with Base 10?

The Radius of Influence given Discharge by Spherical Flow with Base 10 calculates the value of radius of influence when we have prior information of other parameters used and is represented as r_i = r^'*10^(((Q_s/Q₀)*b_w)/(2.3*r^')) or 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.)). Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary, Discharge by Spherical Flow is the discharge for spherical flow in well, Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period & Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.

How to calculate Radius of Influence given Discharge by Spherical Flow with Base 10?

The Radius of Influence given Discharge by Spherical Flow with Base 10 calculates the value of radius of influence when we have prior information of other parameters used is calculated using 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.)). To calculate Radius of Influence given Discharge by Spherical Flow with Base 10, you need Radius of Well in Eviron. Engin. (r^'), Discharge by Spherical Flow (Q_s), Discharge at Time t=0 (Q₀) & Aquifer Thickness (b_w). With our tool, you need to enter the respective value for Radius of Well in Eviron. Engin, Discharge by Spherical Flow, Discharge at Time t=0 & Aquifer Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius of Influence in Eviron. Engin.?

In this formula, Radius of Influence in Eviron. Engin. uses Radius of Well in Eviron. Engin, Discharge by Spherical Flow, Discharge at Time t=0 & Aquifer Thickness. We can use 3 other way(s) to calculate the same, which is/are as follows -

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.)
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.))
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.)

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