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Coefficient of Permeability given Discharge for Partially Penetrating Well 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 = \frac{Q v}{\frac{2 \cdot π \cdot b \cdot (H - h w) \cdot G}{\log ((\frac{R}{r}), e)}}

K - Coefficient of Permeability?Q_v - Discharge for Partially Penetrating Well?b - Aquifer Thickness?H - Initial Piezometric Surface?h_w - Depth of Water?G - Correction Factor?R - Radius of Influence?r - Radius of Well?π - Archimedes' constant?

Coefficient of Permeability given Discharge for Partially Penetrating Well Example

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Here is how the Coefficient of Permeability given Discharge for Partially Penetrating Well equation looks like with Values.

Here is how the Coefficient of Permeability given Discharge for Partially Penetrating Well equation looks like with Units.

Here is how the Coefficient of Permeability given Discharge for Partially Penetrating Well equation looks like.

0.1049 = \frac{5.08}{\frac{2 \cdot 3.1416 \cdot 15 \cdot (20 - 2.44) \cdot 0.83}{\log ((\frac{100}{2.94}), e)}}

0.1049cm/s = \frac{5.08m³/s}{\frac{2 \cdot 3.1416 \cdot 15m \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}}

0.1049 = \frac{5.08}{\frac{2 \cdot 3.1416 \cdot 15 \cdot (20 - 2.44) \cdot 0.83}{\log ((\frac{100}{2.94}), e)}}

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Coefficient of Permeability given Discharge for Partially Penetrating Well Solution

Follow our step by step solution on how to calculate Coefficient of Permeability given Discharge for Partially Penetrating Well?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K = \frac{5.08m³/s}{\frac{2 \cdot π \cdot 15m \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}}

Next Step Substitute values of Constants

∴

K = \frac{5.08m³/s}{\frac{2 \cdot 3.1416 \cdot 15m \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}}

Next Step Prepare to Evaluate

∴

K = \frac{5.08}{\frac{2 \cdot 3.1416 \cdot 15 \cdot (20 - 2.44) \cdot 0.83}{\log ((\frac{100}{2.94}), e)}}

Next Step Evaluate

∴

K = 0.00104861001208714m/s

Next Step Convert to Output's Unit

∴

K = 0.104861001208714cm/s

LAST Step Rounding Answer

∴

K = 0.1049cm/s

Coefficient of Permeability given Discharge for Partially Penetrating Well 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.

Discharge for Partially Penetrating Well

Discharge for Partially Penetrating Well refers to the volume of water extracted from an aquifer when the well does not extend through the entire thickness of the aquifer.

Symbol: Q_v

Measurement: Volumetric Flow RateUnit: m³/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: h_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Correction Factor

Correction Factor refers to the reduced efficiency and altered flow patterns due to the well not extending through the entire aquifer thickness.

Symbol: G

Measurement: NAUnit: Unitless

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.

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)

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Formula and 2100+ more formulas!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Formula and 2600+ more formulas!

Other formulas in Partially Penetrating Artesian Well category

Go Discharge for Partially Penetrating Well

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

Go Aquifer Thickness given Discharge for Partially Penetrating Well

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

How to Evaluate Coefficient of Permeability given Discharge for Partially Penetrating Well?

Coefficient of Permeability given Discharge for Partially Penetrating Well evaluator uses Coefficient of Permeability = Discharge for Partially Penetrating Well/((2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e))) to evaluate the Coefficient of Permeability, Coefficient of Permeability given Discharge for Partially Penetrating Well formula is defined as a measure of the ability of an aquifer to transmit water, which is essential in determining the flow rate of a well, and is used to analyze the performance of partially penetrating wells in various hydrogeological settings. Coefficient of Permeability is denoted by K symbol.

How to evaluate Coefficient of Permeability given Discharge for Partially Penetrating Well using this online evaluator? To use this online evaluator for Coefficient of Permeability given Discharge for Partially Penetrating Well, enter Discharge for Partially Penetrating Well (Q_v), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w), Correction Factor (G), Radius of Influence (R) & Radius of Well (r) and hit the calculate button.

FAQs on Coefficient of Permeability given Discharge for Partially Penetrating Well

What is the formula to find Coefficient of Permeability given Discharge for Partially Penetrating Well?

The formula of Coefficient of Permeability given Discharge for Partially Penetrating Well is expressed as Coefficient of Permeability = Discharge for Partially Penetrating Well/((2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e))). Here is an example- 10.4861 = 5.08/((2*pi*15*(20-2.44)*0.83)/(log((100/2.94),e))).

How to calculate Coefficient of Permeability given Discharge for Partially Penetrating Well?

With Discharge for Partially Penetrating Well (Q_v), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w), Correction Factor (G), Radius of Influence (R) & Radius of Well (r) we can find Coefficient of Permeability given Discharge for Partially Penetrating Well using the formula - Coefficient of Permeability = Discharge for Partially Penetrating Well/((2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e))). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

Can the Coefficient of Permeability given Discharge for Partially Penetrating Well be negative?

No, the Coefficient of Permeability given Discharge for Partially Penetrating Well, measured in Speed cannot be negative.

Which unit is used to measure Coefficient of Permeability given Discharge for Partially Penetrating Well?

Coefficient of Permeability given Discharge for Partially Penetrating Well 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 given Discharge for Partially Penetrating Well can be measured.

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Coefficient of Permeability given Discharge for Partially Penetrating Well Formula

Coefficient of Permeability given Discharge for Partially Penetrating Well Example

Coefficient of Permeability given Discharge for Partially Penetrating Well Solution

Coefficient of Permeability given Discharge for Partially Penetrating Well Formula Elements

Credits

Other formulas in Partially Penetrating Artesian Well category

How to Evaluate Coefficient of Permeability given Discharge for Partially Penetrating Well?

FAQs on Coefficient of Permeability given Discharge for Partially Penetrating Well

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