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Ratio of discharge refers to the ratio of discharge due to spherical flow to discharge due to radial flow. Check FAQs
QsQratio=(rb)log((Rr),e)
QsQratio - Ratio of Discharge?r - Radius of Well?b - Aquifer Thickness?R - Radius of Influence?

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow Example

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Here is how the Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow equation looks like with Values.

Here is how the Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow equation looks like with Units.

Here is how the Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow equation looks like.

0.0556Edit=(2.94Edit15Edit)log((100Edit2.94Edit),e)
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Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow Solution

Follow our step by step solution on how to calculate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow?

FIRST Step Consider the formula
QsQratio=(rb)log((Rr),e)
Next Step Substitute values of Variables
QsQratio=(2.94m15m)log((100m2.94m),e)
Next Step Prepare to Evaluate
QsQratio=(2.9415)log((1002.94),e)
Next Step Evaluate
QsQratio=0.0555750792220687
LAST Step Rounding Answer
QsQratio=0.0556

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow Formula Elements

Variables
Functions
Ratio of Discharge
Ratio of discharge refers to the ratio of discharge due to spherical flow to discharge due to radial flow.
Symbol: QsQratio
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Radius of Well
The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius.
Symbol: r
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Aquifer Thickness
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.
Symbol: b
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Radius of Influence
The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible.
Symbol: R
Measurement: LengthUnit: m
Note: Value should be greater than 0.
log
Logarithmic function is an inverse function to exponentiation.
Syntax: log(Base, Number)

Other Formulas to find Ratio of Discharge

​Go Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10
QsQratio=2.3(rb)log((Rr),10)

Other formulas in Spherical Flow in a Well category

​Go Discharge due to Spherical Flow in Well
Qs=2πKr(H-hw)
​Go Coefficient of Permeability given Discharge due to Spherical Flow in Well
K=Qs2πr(H-hw)
​Go Radius of Well given Discharge due to Spherical Flow in Well
r=Qs2πK(H-hw)
​Go Thickness of Aquifer given Discharge due to Spherical Flow in Well
H=hw+(Qs2πKr)

How to Evaluate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow?

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow evaluator uses Ratio of Discharge = (Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e) to evaluate the Ratio of Discharge, Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow formula is a dimensionless quantity that compares the discharge rates of spherical and radial flows in a well, providing insights into the flow behavior and hydraulic properties of the aquifer. Ratio of Discharge is denoted by QsQratio symbol.

How to evaluate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow using this online evaluator? To use this online evaluator for Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow, enter Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R) and hit the calculate button.

FAQs on Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow

What is the formula to find Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow?
The formula of Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow is expressed as Ratio of Discharge = (Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e). Here is an example- 0.055575 = (2.94/15)*log((100/2.94),e).
How to calculate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow?
With Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R) we can find Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow using the formula - Ratio of Discharge = (Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e). This formula also uses Logarithmic Inverse (log) function(s).
What are the other ways to Calculate Ratio of Discharge?
Here are the different ways to Calculate Ratio of Discharge-
  • Ratio of Discharge=2.3*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),10)OpenImg
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