Radius of Influence given Discharge by Spherical Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
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.)
ri = r'*exp(((Qs/Q0)*bp)/r')
This formula uses 1 Functions, 5 Variables
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 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 During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.
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 During Pumping: 2.36 Meter --> 2.36 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = r'*exp(((Qs/Q0)*bp)/r') --> 2.94*exp(((0.34/50)*2.36)/2.94)
Evaluating ... ...
ri = 2.95609187883255
STEP 3: Convert Result to Output's Unit
2.95609187883255 Meter --> No Conversion Required
FINAL ANSWER
2.95609187883255 2.956092 Meter <-- Radius of Influence 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 Influence given Discharge by Spherical Flow Formula

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.)
ri = r'*exp(((Qs/Q0)*bp)/r')

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?

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

How to calculate Radius of Influence given Discharge by Spherical Flow using this online calculator? To use this online calculator for Radius of Influence given Discharge by Spherical Flow, enter Radius of Well in Eviron. Engin. (r'), Discharge by Spherical Flow (Qs), Discharge at Time t=0 (Q0) & Aquifer Thickness During Pumping (bp) and hit the calculate button. Here is how the Radius of Influence given Discharge by Spherical Flow calculation can be explained with given input values -> 2.956092 = 2.94*exp(((0.34/50)*2.36)/2.94).

FAQ

What is Radius of Influence given Discharge by Spherical Flow?
The Radius of Influence given Discharge by Spherical Flow is defined as the value of radius of influence when we have prior information of other parameters used and is represented as ri = r'*exp(((Qs/Q0)*bp)/r') or 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.). 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 During Pumping is the thickness of aquifer during pumping stage.
How to calculate Radius of Influence given Discharge by Spherical Flow?
The Radius of Influence given Discharge by Spherical Flow is defined as 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.*exp(((Discharge by Spherical Flow/Discharge at Time t=0)*Aquifer Thickness During Pumping)/Radius of Well in Eviron. Engin.). To calculate Radius of Influence given Discharge by Spherical Flow, you need Radius of Well in Eviron. Engin. (r'), Discharge by Spherical Flow (Qs), Discharge at Time t=0 (Q0) & Aquifer Thickness During Pumping (bp). 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 During Pumping 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 During Pumping. 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.*10^(((Discharge by Spherical Flow/Discharge at Time t=0) *Aquifer Thickness)/(2.3*Radius of Well in Eviron. Engin.))
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