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Coefficient of Permeability when Interference among Three Well is Present Formula

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Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces. Check FAQs

K = Q th \cdot (\frac{\log (\frac{R^{3}}{r \cdot B^{2}}, e)}{2 \cdot π \cdot b \cdot (H - h w)})

K - Coefficient of Permeability?Q_th - Discharge by Each Well at Three Well Interference?R - Radius of Influence?r - Radius of Well?B - Distance Between Wells?b - Aquifer Thickness?H - Initial Piezometric Surface?h_w - Depth of Water?π - Archimedes' constant?

Coefficient of Permeability when Interference among Three Well is Present Example

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Here is how the Coefficient of Permeability when Interference among Three Well is Present equation looks like with Values.

Here is how the Coefficient of Permeability when Interference among Three Well is Present equation looks like with Units.

Here is how the Coefficient of Permeability when Interference among Three Well is Present equation looks like.

0.105 = 18.397 \cdot (\frac{\log (\frac{100^{3}}{2.94 \cdot {2.93}^{2}}, e)}{2 \cdot 3.1416 \cdot 15 \cdot (20 - 2.44)})

0.105cm/s = 18.397m³/s \cdot (\frac{\log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}{2 \cdot 3.1416 \cdot 15m \cdot (20m - 2.44m)})

0.105 = 18.397 \cdot (\frac{\log (\frac{100^{3}}{2.94 \cdot {2.93}^{2}}, e)}{2 \cdot 3.1416 \cdot 15 \cdot (20 - 2.44)})

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Coefficient of Permeability when Interference among Three Well is Present Solution

Follow our step by step solution on how to calculate Coefficient of Permeability when Interference among Three Well is Present?

FIRST Step Consider the formula

K = Q th \cdot (\frac{\log (\frac{R^{3}}{r \cdot B^{2}}, e)}{2 \cdot π \cdot b \cdot (H - h w)})

Next Step Substitute values of Variables

∴

K = 18.397m³/s \cdot (\frac{\log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}{2 \cdot π \cdot 15m \cdot (20m - 2.44m)})

Next Step Substitute values of Constants

∴

K = 18.397m³/s \cdot (\frac{\log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}{2 \cdot 3.1416 \cdot 15m \cdot (20m - 2.44m)})

Next Step Prepare to Evaluate

∴

K = 18.397 \cdot (\frac{\log (\frac{100^{3}}{2.94 \cdot {2.93}^{2}}, e)}{2 \cdot 3.1416 \cdot 15 \cdot (20 - 2.44)})

Next Step Evaluate

∴

K = 0.00104996425184816m/s

Next Step Convert to Output's Unit

∴

K = 0.104996425184816cm/s

LAST Step Rounding Answer

∴

K = 0.105cm/s

Coefficient of Permeability when Interference among Three Well is Present Formula Elements

Variables

Constants

Functions

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

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: Q_th

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge by Each Well at Three Well Interference

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

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

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 to find Coefficient of Permeability

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)}

Other formulas in Interference Among Wells category

Go Discharge through Each Well when Interference among Well is Present

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

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 Coefficient of Permeability when Interference among Three Well is Present?

Coefficient of Permeability when Interference among Three Well is Present evaluator uses Coefficient of Permeability = Discharge by Each Well at Three Well Interference*(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e)/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))) to evaluate the Coefficient of Permeability, Coefficient of Permeability when Interference among Three Well is Present formula is defined as a measure of the ability of a porous medium to transmit fluids when three wells are interfering with each other, which is essential in understanding the flow behavior in wells and optimizing the production of fluids from these wells. Coefficient of Permeability is denoted by K symbol.

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

FAQs on Coefficient of Permeability when Interference among Three Well is Present

What is the formula to find Coefficient of Permeability when Interference among Three Well is Present?

The formula of Coefficient of Permeability when Interference among Three Well is Present is expressed as Coefficient of Permeability = Discharge by Each Well at Three Well Interference*(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e)/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))). Here is an example- 10.49964 = 18.397*(log((100^3)/(2.94*2.93^2),e)/(2*pi*15*(20-2.44))).

How to calculate Coefficient of Permeability when Interference among Three Well is Present?

With Discharge by Each Well at Three Well Interference (Q_th), Radius of Influence (R), Radius of Well (r), Distance Between Wells (B), Aquifer Thickness (b), Initial Piezometric Surface (H) & Depth of Water (h_w) we can find Coefficient of Permeability when Interference among Three Well is Present using the formula - Coefficient of Permeability = Discharge by Each Well at Three Well Interference*(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e)/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Coefficient of Permeability?

Here are the different ways to Calculate Coefficient of Permeability-

Coefficient of Permeability=Discharge by Each Well when Two Well Interference*(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))

Can the Coefficient of Permeability when Interference among Three Well is Present be negative?

No, the Coefficient of Permeability when Interference among Three Well is Present, measured in Speed cannot be negative.

Which unit is used to measure Coefficient of Permeability when Interference among Three Well is Present?

Coefficient of Permeability when Interference among Three Well is Present is usually measured using the Centimeter per Second[cm/s] for Speed. Meter per Second[cm/s], Meter per Minute[cm/s], Meter per Hour[cm/s] are the few other units in which Coefficient of Permeability when Interference among Three Well is Present can be measured.

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Coefficient of Permeability when Interference among Three Well is Present Formula

​GoCoefficient of Permeability when Interference among Well is Present Formula

Coefficient of Permeability when Interference among Three Well is Present Example

Coefficient of Permeability when Interference among Three Well is Present Solution

Coefficient of Permeability when Interference among Three Well is Present Formula Elements

Other Formulas to find Coefficient of Permeability

Other formulas in Interference Among Wells category

How to Evaluate Coefficient of Permeability when Interference among Three Well is Present?

FAQs on Coefficient of Permeability when Interference among Three Well is Present

Variable Name

GoCoefficient of Permeability when Interference among Well is Present Formula