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Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well Formula

GoCorrection Factor for Partial Penetration given Discharge for Fully Penetrating Well Formula

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

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

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

Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well Example

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Here is how the Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well equation looks like with Values.

Here is how the Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well equation looks like with Units.

Here is how the Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well equation looks like.

0.8289 = \frac{5.08}{\frac{2 \cdot 3.1416 \cdot 0.105 \cdot 15 \cdot (20 - 2.44)}{\log ((\frac{100}{2.94}), e)}}

0.8289 = \frac{5.08m³/s}{\frac{2 \cdot 3.1416 \cdot 0.105cm/s \cdot 15m \cdot (20m - 2.44m)}{\log ((\frac{100m}{2.94m}), e)}}

0.8289 = \frac{5.08}{\frac{2 \cdot 3.1416 \cdot 0.105 \cdot 15 \cdot (20 - 2.44)}{\log ((\frac{100}{2.94}), e)}}

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Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well Solution

Follow our step by step solution on how to calculate Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G = \frac{5.08m³/s}{\frac{2 \cdot π \cdot 0.105cm/s \cdot 15m \cdot (20m - 2.44m)}{\log ((\frac{100m}{2.94m}), e)}}

Next Step Substitute values of Constants

∴

G = \frac{5.08m³/s}{\frac{2 \cdot 3.1416 \cdot 0.105cm/s \cdot 15m \cdot (20m - 2.44m)}{\log ((\frac{100m}{2.94m}), e)}}

Next Step Convert Units

∴

G = \frac{5.08m³/s}{\frac{2 \cdot 3.1416 \cdot 0.001m/s \cdot 15m \cdot (20m - 2.44m)}{\log ((\frac{100m}{2.94m}), e)}}

Next Step Prepare to Evaluate

∴

G = \frac{5.08}{\frac{2 \cdot 3.1416 \cdot 0.001 \cdot 15 \cdot (20 - 2.44)}{\log ((\frac{100}{2.94}), e)}}

Next Step Evaluate

∴

G = 0.828901247649834

LAST Step Rounding Answer

∴

G = 0.8289

Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well Formula Elements

Variables

Constants

Functions

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.

Formulas to find Correction Factor

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.

Formulas to find Discharge for Partially Penetrating Well

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

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 Correction Factor

Go Correction Factor for Partial Penetration given Discharge for Fully Penetrating Well

G = \frac{Q v}{Q fe}

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 Coefficient of Permeability given Discharge for Partially Penetrating Well

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

How to Evaluate Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well?

Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well evaluator uses Correction Factor = Discharge for Partially Penetrating Well/((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence/Radius of Well),e))) to evaluate the Correction Factor, Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well formula is defined as a dimensionless quantity that accounts for the effect of partial penetration on the flow of water into a well, providing a correction to the discharge rate of a partially penetrating well in a confined aquifer. Correction Factor is denoted by G symbol.

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

FAQs on Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well

What is the formula to find Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well?

The formula of Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well is expressed as Correction Factor = Discharge for Partially Penetrating Well/((2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence/Radius of Well),e))). Here is an example- 0.828901 = 5.08/((2*pi*0.00105*15*(20-2.44))/(log((100/2.94),e))).

How to calculate Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well?

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

What are the other ways to Calculate Correction Factor?

Here are the different ways to Calculate Correction Factor-

Correction Factor=Discharge for Partially Penetrating Well/Discharge for Fully Penetrating Gravity Well

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Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well Formula

​GoCorrection Factor for Partial Penetration given Discharge for Fully Penetrating Well Formula

Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well Example

Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well Solution

Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well Formula Elements

Other Formulas to find Correction Factor

Other formulas in Partially Penetrating Artesian Well category

How to Evaluate Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well?

FAQs on Correction Factor for Partial Penetration given Discharge for Partially Penetrating Well

Variable Name

GoCorrection Factor for Partial Penetration given Discharge for Fully Penetrating Well Formula