Discharge through Each Well when Interference among Three Well is Present Formula

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Discharge by Each Well at Three Well Interference is the sum of the individual well rates, adjusted for interference. Check FAQs
Qth=2πKb(H-hw)log(R3rB2,e)
Qth - Discharge by Each Well at Three Well Interference?K - Coefficient of Permeability?b - Aquifer Thickness?H - Initial Piezometric Surface?hw - Depth of Water?R - Radius of Influence?r - Radius of Well?B - Distance Between Wells?π - Archimedes' constant?

Discharge through Each Well when Interference among Three Well is Present Example

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Here is how the Discharge through Each Well when Interference among Three Well is Present equation looks like with Values.

Here is how the Discharge through Each Well when Interference among Three Well is Present equation looks like with Units.

Here is how the Discharge through Each Well when Interference among Three Well is Present equation looks like.

18.3976Edit=23.14160.105Edit15Edit(20Edit-2.44Edit)log(100Edit32.94Edit2.93Edit2,e)
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Discharge through Each Well when Interference among Three Well is Present Solution

Follow our step by step solution on how to calculate Discharge through Each Well when Interference among Three Well is Present?

FIRST Step Consider the formula
Qth=2πKb(H-hw)log(R3rB2,e)
Next Step Substitute values of Variables
Qth=2π0.105cm/s15m(20m-2.44m)log(100m32.94m2.93m2,e)
Next Step Substitute values of Constants
Qth=23.14160.105cm/s15m(20m-2.44m)log(100m32.94m2.93m2,e)
Next Step Convert Units
Qth=23.14160.001m/s15m(20m-2.44m)log(100m32.94m2.93m2,e)
Next Step Prepare to Evaluate
Qth=23.14160.00115(20-2.44)log(10032.942.932,e)
Next Step Evaluate
Qth=18.3976263629911m³/s
LAST Step Rounding Answer
Qth=18.3976m³/s

Discharge through Each Well when Interference among Three Well is Present Formula Elements

Variables
Constants
Functions
Discharge by Each Well at Three Well Interference
Discharge by Each Well at Three Well Interference is the sum of the individual well rates, adjusted for interference.
Symbol: Qth
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Coefficient of Permeability
Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces.
Symbol: K
Measurement: SpeedUnit: cm/s
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.
Initial Piezometric Surface
The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence.
Symbol: H
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Depth of Water
Depth of Water is the depth in the well measured above the impermeable layer.
Symbol: hw
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
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.
Distance Between Wells
Distance Between Wells refers to the center to center distance between the well.
Symbol: B
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
log
Logarithmic function is an inverse function to exponentiation.
Syntax: log(Base, Number)

Other formulas in Interference Among Wells category

​Go Discharge through Each Well when Interference among Well is Present
Qt=2πKb(H-hw)log(R2rB,e)
​Go Coefficient of Permeability when Interference among Well is Present
K=Qtlog(R2rB,e)2πb(H-hw)

How to Evaluate Discharge through Each Well when Interference among Three Well is Present?

Discharge through Each Well when Interference among Three Well is Present evaluator uses Discharge by Each Well at Three Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e)) to evaluate the Discharge by Each Well at Three Well Interference, Discharge through Each Well when Interference among Three Well is Present formula is defined as a measure of the rate of fluid flow from each well in a multi-well system where the wells interfere with each other, affecting the overall flow rate. Discharge by Each Well at Three Well Interference is denoted by Qth symbol.

How to evaluate Discharge through Each Well when Interference among Three Well is Present using this online evaluator? To use this online evaluator for Discharge through Each Well when Interference among Three Well is Present, enter Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (hw), Radius of Influence (R), Radius of Well (r) & Distance Between Wells (B) and hit the calculate button.

FAQs on Discharge through Each Well when Interference among Three Well is Present

What is the formula to find Discharge through Each Well when Interference among Three Well is Present?
The formula of Discharge through Each Well when Interference among Three Well is Present is expressed as Discharge by Each Well at Three Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e)). Here is an example- 18.39763 = (2*pi*0.00105*15*(20-2.44))/(log((100^3)/(2.94*2.93^2),e)).
How to calculate Discharge through Each Well when Interference among Three Well is Present?
With Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (hw), Radius of Influence (R), Radius of Well (r) & Distance Between Wells (B) we can find Discharge through Each Well when Interference among Three Well is Present using the formula - Discharge by Each Well at Three Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e)). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).
Can the Discharge through Each Well when Interference among Three Well is Present be negative?
No, the Discharge through Each Well when Interference among Three Well is Present, measured in Volumetric Flow Rate cannot be negative.
Which unit is used to measure Discharge through Each Well when Interference among Three Well is Present?
Discharge through Each Well when Interference among Three Well is Present 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 through Each Well when Interference among Three Well is Present can be measured.
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