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Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer. Check FAQs
Qfe=Qs(rb)log((Rr),e)
Qfe - Discharge for Fully Penetrating Gravity Well?Qs - Discharge by Spherical Flow?r - Radius of Well?b - Aquifer Thickness?R - Radius of Influence?

Discharge by Radial Flow given Discharge by Spherical Flow Example

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Here is how the Discharge by Radial Flow given Discharge by Spherical Flow equation looks like with Values.

Here is how the Discharge by Radial Flow given Discharge by Spherical Flow equation looks like with Units.

Here is how the Discharge by Radial Flow given Discharge by Spherical Flow equation looks like.

6.1179Edit=0.34Edit(2.94Edit15Edit)log((100Edit2.94Edit),e)
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Discharge by Radial Flow given Discharge by Spherical Flow Solution

Follow our step by step solution on how to calculate Discharge by Radial Flow given Discharge by Spherical Flow?

FIRST Step Consider the formula
Qfe=Qs(rb)log((Rr),e)
Next Step Substitute values of Variables
Qfe=0.34m³/s(2.94m15m)log((100m2.94m),e)
Next Step Prepare to Evaluate
Qfe=0.34(2.9415)log((1002.94),e)
Next Step Evaluate
Qfe=6.11785002845281m³/s
LAST Step Rounding Answer
Qfe=6.1179m³/s

Discharge by Radial Flow given Discharge by Spherical Flow Formula Elements

Variables
Functions
Discharge for Fully Penetrating Gravity Well
Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer.
Symbol: Qfe
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Discharge by Spherical Flow
Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells.
Symbol: Qs
Measurement: Volumetric Flow RateUnit: m³/s
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 Discharge for Fully Penetrating Gravity Well

​Go Discharge by Radial Flow given Discharge by Spherical Flow with Base 10
Qfe=Qs2.3(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 Discharge by Radial Flow given Discharge by Spherical Flow?

Discharge by Radial Flow given Discharge by Spherical Flow evaluator uses Discharge for Fully Penetrating Gravity Well = Discharge by Spherical Flow/((Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)) to evaluate the Discharge for Fully Penetrating Gravity Well, Discharge by Radial Flow given Discharge by Spherical Flow formula is defined as a method to determine the rate of fluid flow in a radial direction, typically in wells, by relating it to the discharge rate in a spherical flow pattern, considering the radius and other parameters of the well. Discharge for Fully Penetrating Gravity Well is denoted by Qfe symbol.

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

FAQs on Discharge by Radial Flow given Discharge by Spherical Flow

What is the formula to find Discharge by Radial Flow given Discharge by Spherical Flow?
The formula of Discharge by Radial Flow given Discharge by Spherical Flow is expressed as Discharge for Fully Penetrating Gravity Well = Discharge by Spherical Flow/((Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)). Here is an example- 6.11785 = 0.34/((2.94/15)*log((100/2.94),e)).
How to calculate Discharge by Radial Flow given Discharge by Spherical Flow?
With Discharge by Spherical Flow (Qs), Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R) we can find Discharge by Radial Flow given Discharge by Spherical Flow using the formula - Discharge for Fully Penetrating Gravity Well = Discharge by Spherical Flow/((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 Discharge for Fully Penetrating Gravity Well?
Here are the different ways to Calculate Discharge for Fully Penetrating Gravity Well-
  • Discharge for Fully Penetrating Gravity Well=Discharge by Spherical Flow/(2.3*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),10))OpenImg
Can the Discharge by Radial Flow given Discharge by Spherical Flow be negative?
No, the Discharge by Radial Flow given Discharge by Spherical Flow, measured in Volumetric Flow Rate cannot be negative.
Which unit is used to measure Discharge by Radial Flow given Discharge by Spherical Flow?
Discharge by Radial Flow given Discharge by Spherical Flow is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge by Radial Flow given Discharge by Spherical Flow can be measured.
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