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Discharge through Each Well when Interference among Well is Present Formula

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Discharge by Each Well when Two Well Interference is the sum of the individual well rates, adjusted for interference. Check FAQs

Q t = \frac{2 \cdot π \cdot K \cdot b \cdot (H - h w)}{\log (\frac{R^{2}}{r \cdot B}, e)}

Q_t - Discharge by Each Well when Two Well Interference?K - Coefficient of Permeability?b - Aquifer Thickness?H - Initial Piezometric Surface?h_w - 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 Well is Present Example

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

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

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

12.2631 = \frac{2 \cdot 3.1416 \cdot 0.105 \cdot 15 \cdot (20 - 2.44)}{\log (\frac{100^{2}}{2.94 \cdot 2.93}, e)}

12.2631m³/s = \frac{2 \cdot 3.1416 \cdot 0.105cm/s \cdot 15m \cdot (20m - 2.44m)}{\log (\frac{{100m}^{2}}{2.94m \cdot 2.93m}, e)}

12.2631 = \frac{2 \cdot 3.1416 \cdot 0.105 \cdot 15 \cdot (20 - 2.44)}{\log (\frac{100^{2}}{2.94 \cdot 2.93}, e)}

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Discharge through Each Well when Interference among Well is Present Solution

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

FIRST Step Consider the formula

Q t = \frac{2 \cdot π \cdot K \cdot b \cdot (H - h w)}{\log (\frac{R^{2}}{r \cdot B}, e)}

Next Step Substitute values of Variables

∴

Q t = \frac{2 \cdot π \cdot 0.105cm/s \cdot 15m \cdot (20m - 2.44m)}{\log (\frac{{100m}^{2}}{2.94m \cdot 2.93m}, e)}

Next Step Substitute values of Constants

∴

Q t = \frac{2 \cdot 3.1416 \cdot 0.105cm/s \cdot 15m \cdot (20m - 2.44m)}{\log (\frac{{100m}^{2}}{2.94m \cdot 2.93m}, e)}

Next Step Convert Units

∴

Q t = \frac{2 \cdot 3.1416 \cdot 0.001m/s \cdot 15m \cdot (20m - 2.44m)}{\log (\frac{{100m}^{2}}{2.94m \cdot 2.93m}, e)}

Next Step Prepare to Evaluate

∴

Q t = \frac{2 \cdot 3.1416 \cdot 0.001 \cdot 15 \cdot (20 - 2.44)}{\log (\frac{100^{2}}{2.94 \cdot 2.93}, e)}

Next Step Evaluate

∴

Q t = 12.263110656257m³/s

LAST Step Rounding Answer

∴

Q t = 12.2631m³/s

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

Variables

Constants

Functions

Discharge by Each Well when Two Well Interference

Discharge by Each Well when Two Well Interference is the sum of the individual well rates, adjusted for interference.

Symbol: Q_t

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge by Each Well when Two Well Interference

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.

Formulas to find Coefficient of Permeability

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.

Formulas to find Aquifer Thickness

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.

Formulas to find Initial Piezometric Surface

Depth of Water

Depth of Water is the depth in the well measured above the impermeable layer.

Symbol: h_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Water

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.

Formulas to find Radius of Influence

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.

Formulas to find Radius of Well

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.

Formulas to find Distance Between Wells

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 Coefficient of Permeability when Interference among Well is Present

K = Q t \cdot \frac{\log (\frac{R^{2}}{r \cdot B}, e)}{2 \cdot π \cdot b \cdot (H - h w)}

Go Aquifer Thickness when Interference among Well is Present

b = Q t \cdot \frac{\log (\frac{R^{2}}{r \cdot B}, e)}{2 \cdot π \cdot K \cdot (H - h w)}

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

Discharge through Each Well when Interference among Well is Present evaluator uses Discharge by Each Well when Two Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e)) to evaluate the Discharge by Each Well when Two Well Interference, Discharge through Each Well when Interference among Well is Present formula is defined as a measure of the rate of fluid flow from each well in a multi-well system, considering the interference effects between wells on the flow rate, which is essential in optimizing well production and managing groundwater resources. Discharge by Each Well when Two Well Interference is denoted by Q_t symbol.

How to evaluate Discharge through Each Well when Interference among Well is Present using this online evaluator? To use this online evaluator for Discharge through Each Well when Interference among Well is Present, enter Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w), 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 Well is Present

What is the formula to find Discharge through Each Well when Interference among Well is Present?

The formula of Discharge through Each Well when Interference among Well is Present is expressed as Discharge by Each Well when Two Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e)). Here is an example- 12.26311 = (2*pi*0.00105*15*(20-2.44))/(log((100^2)/(2.94*2.93),e)).

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

With Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w), Radius of Influence (R), Radius of Well (r) & Distance Between Wells (B) we can find Discharge through Each Well when Interference among Well is Present using the formula - Discharge by Each Well when Two Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e)). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

Can the Discharge through Each Well when Interference among Well is Present be negative?

No, the Discharge through Each Well when Interference among Well is Present, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge through Each Well when Interference among Well is Present?

Discharge through Each Well when Interference among 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 Well is Present can be measured.

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Discharge through Each Well when Interference among Well is Present Formula

Discharge through Each Well when Interference among Well is Present Example

Discharge through Each Well when Interference among Well is Present Solution

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

Other formulas in Interference Among Wells category

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

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

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