Discharge by Radial Flow given Discharge by Spherical Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Q = Qs/((r'/bp)*log((R/r'),e))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Discharge by Spherical Flow - (Measured in Cubic Meter per Second) - Discharge by Spherical Flow is the discharge for spherical flow in well.
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.
Aquifer Thickness During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.
Radius of Influence - (Measured in Meter) - Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.
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
Radius of Well in Eviron. Engin.: 2.94 Meter --> 2.94 Meter No Conversion Required
Aquifer Thickness During Pumping: 2.36 Meter --> 2.36 Meter No Conversion Required
Radius of Influence: 100 Meter --> 100 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = Qs/((r'/bp)*log((R/r'),e)) --> 0.34/((2.94/2.36)*log((100/2.94),e))
Evaluating ... ...
Q = 0.962541737809909
STEP 3: Convert Result to Output's Unit
0.962541737809909 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.962541737809909 0.962542 Cubic Meter per Second <-- Discharge
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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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))

Discharge by Radial Flow given Discharge by Spherical Flow Formula

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))
Q = Qs/((r'/bp)*log((R/r'),e))

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Discharge by Radial Flow given Discharge by Spherical Flow?

Discharge by Radial Flow given Discharge by Spherical Flow calculator uses 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)) to calculate the Discharge, The Discharge by Radial Flow given Discharge by Spherical Flow is defined as the value of discharge when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Discharge by Radial Flow given Discharge by Spherical Flow using this online calculator? To use this online calculator for Discharge by Radial Flow given Discharge by Spherical Flow, enter Discharge by Spherical Flow (Qs), Radius of Well in Eviron. Engin. (r'), Aquifer Thickness During Pumping (bp) & Radius of Influence (R) and hit the calculate button. Here is how the Discharge by Radial Flow given Discharge by Spherical Flow calculation can be explained with given input values -> 0.962542 = 0.34/((2.94/2.36)*log((100/2.94),e)).

FAQ

What is Discharge by Radial Flow given Discharge by Spherical Flow?
The Discharge by Radial Flow given Discharge by Spherical Flow is defined as the value of discharge when we have prior information of other parameters used and is represented as Q = Qs/((r'/bp)*log((R/r'),e)) or 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)). Discharge by Spherical Flow is the discharge for spherical flow in well, Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary, Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage & Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.
How to calculate Discharge by Radial Flow given Discharge by Spherical Flow?
The Discharge by Radial Flow given Discharge by Spherical Flow is defined as the value of discharge when we have prior information of other parameters used is calculated using 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)). To calculate Discharge by Radial Flow given Discharge by Spherical Flow, you need Discharge by Spherical Flow (Qs), Radius of Well in Eviron. Engin. (r'), Aquifer Thickness During Pumping (bp) & Radius of Influence (R). With our tool, you need to enter the respective value for Discharge by Spherical Flow, Radius of Well in Eviron. Engin, Aquifer Thickness During Pumping & Radius of Influence 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 Discharge?
In this formula, Discharge uses Discharge by Spherical Flow, Radius of Well in Eviron. Engin, Aquifer Thickness During Pumping & Radius of Influence. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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))
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