FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Discharge for Partially Penetrating Well Formula

GoDischarge for Partially Penetrating Well given Correction Factor Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

Q_v - Discharge for Partially Penetrating Well?K - Coefficient of Permeability?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?

Discharge for Partially Penetrating Well Example

With values

With units

Only example

Here is how the Discharge for Partially Penetrating Well equation looks like with Values.

Here is how the Discharge for Partially Penetrating Well equation looks like with Units.

Here is how the Discharge for Partially Penetrating Well equation looks like.

5.0867 = \frac{2 \cdot 3.1416 \cdot 0.105 \cdot 15 \cdot (20 - 2.44) \cdot 0.83}{\log ((\frac{100}{2.94}), e)}

5.0867m³/s = \frac{2 \cdot 3.1416 \cdot 0.105cm/s \cdot 15m \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}

5.0867 = \frac{2 \cdot 3.1416 \cdot 0.105 \cdot 15 \cdot (20 - 2.44) \cdot 0.83}{\log ((\frac{100}{2.94}), e)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Environmental Engineering » fx Discharge for Partially Penetrating Well

Discharge for Partially Penetrating Well Solution

Follow our step by step solution on how to calculate Discharge for Partially Penetrating Well?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q v = \frac{2 \cdot π \cdot 0.105cm/s \cdot 15m \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}

Next Step Substitute values of Constants

∴

Q v = \frac{2 \cdot 3.1416 \cdot 0.105cm/s \cdot 15m \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}

Next Step Convert Units

∴

Q v = \frac{2 \cdot 3.1416 \cdot 0.001m/s \cdot 15m \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}

Next Step Prepare to Evaluate

∴

Q v = \frac{2 \cdot 3.1416 \cdot 0.001 \cdot 15 \cdot (20 - 2.44) \cdot 0.83}{\log ((\frac{100}{2.94}), e)}

Next Step Evaluate

∴

Q v = 5.086733808104m³/s

LAST Step Rounding Answer

∴

Q v = 5.0867m³/s

Discharge for Partially Penetrating Well Formula Elements

Variables

Constants

Functions

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

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

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 Discharge for Partially Penetrating Well

Go Discharge for Partially Penetrating Well given Correction Factor

Q v = G \cdot Q fe

Other formulas in Partially Penetrating Artesian Well category

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)}}

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 Discharge for Partially Penetrating Well?

Discharge for Partially Penetrating Well evaluator uses Discharge for Partially Penetrating Well = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e)) to evaluate the Discharge for Partially Penetrating Well, Discharge for Partially Penetrating Well formula is defined as the rate of flow of water from a well that partially penetrates an aquifer, taking into account the hydraulic conductivity, thickness of the aquifer, and the distance from the well to the boundary of the aquifer. Discharge for Partially Penetrating Well is denoted by Q_v symbol.

How to evaluate Discharge for Partially Penetrating Well using this online evaluator? To use this online evaluator for Discharge for Partially Penetrating Well, enter Coefficient of Permeability (K), 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 Discharge for Partially Penetrating Well

What is the formula to find Discharge for Partially Penetrating Well?

The formula of Discharge for Partially Penetrating Well is expressed as Discharge for Partially Penetrating Well = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e)). Here is an example- 34.32013 = (2*pi*0.00105*15*(20-2.44)*0.83)/(log((100/2.94),e)).

How to calculate Discharge for Partially Penetrating Well?

With Coefficient of Permeability (K), 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 Discharge for Partially Penetrating Well using the formula - Discharge for Partially Penetrating Well = (2*pi*Coefficient of Permeability*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).

What are the other ways to Calculate Discharge for Partially Penetrating Well?

Here are the different ways to Calculate Discharge for Partially Penetrating Well-

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

Can the Discharge for Partially Penetrating Well be negative?

No, the Discharge for Partially Penetrating Well, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge for Partially Penetrating Well?

Discharge for Partially Penetrating Well 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 for Partially Penetrating Well can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Discharge for Partially Penetrating Well Formula

​GoDischarge for Partially Penetrating Well given Correction Factor Formula

Discharge for Partially Penetrating Well Example

Discharge for Partially Penetrating Well Solution

Discharge for Partially Penetrating Well Formula Elements

Other Formulas to find Discharge for Partially Penetrating Well

Other formulas in Partially Penetrating Artesian Well category

How to Evaluate Discharge for Partially Penetrating Well?

FAQs on Discharge for Partially Penetrating Well

Variable Name

GoDischarge for Partially Penetrating Well given Correction Factor Formula