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Discharge due to Spherical Flow in Well Formula

GoDischarge by Spherical Flow Formula

GoDischarge by Spherical Flow with Base 10 Formula

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Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells. Check FAQs

Q s = 2 \cdot π \cdot K \cdot r \cdot (H - h w)

Q_s - Discharge by Spherical Flow?K - Coefficient of Permeability?r - Radius of Well?H - Initial Piezometric Surface?h_w - Depth of Water?π - Archimedes' constant?

Discharge due to Spherical Flow in Well Example

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Here is how the Discharge due to Spherical Flow in Well equation looks like with Values.

Here is how the Discharge due to Spherical Flow in Well equation looks like with Units.

Here is how the Discharge due to Spherical Flow in Well equation looks like.

0.3406 = 2 \cdot 3.1416 \cdot 0.105 \cdot 2.94 \cdot (20 - 2.44)

0.3406m³/s = 2 \cdot 3.1416 \cdot 0.105cm/s \cdot 2.94m \cdot (20m - 2.44m)

0.3406 = 2 \cdot 3.1416 \cdot 0.105 \cdot 2.94 \cdot (20 - 2.44)

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Discharge due to Spherical Flow in Well Solution

Follow our step by step solution on how to calculate Discharge due to Spherical Flow in Well?

FIRST Step Consider the formula

Q s = 2 \cdot π \cdot K \cdot r \cdot (H - h w)

Next Step Substitute values of Variables

∴

Q s = 2 \cdot π \cdot 0.105cm/s \cdot 2.94m \cdot (20m - 2.44m)

Next Step Substitute values of Constants

∴

Q s = 2 \cdot 3.1416 \cdot 0.105cm/s \cdot 2.94m \cdot (20m - 2.44m)

Next Step Convert Units

∴

Q s = 2 \cdot 3.1416 \cdot 0.001m/s \cdot 2.94m \cdot (20m - 2.44m)

Next Step Prepare to Evaluate

∴

Q s = 2 \cdot 3.1416 \cdot 0.001 \cdot 2.94 \cdot (20 - 2.44)

Next Step Evaluate

∴

Q s = 0.340597149839705m³/s

LAST Step Rounding Answer

∴

Q s = 0.3406m³/s

Discharge due to Spherical Flow in Well Formula Elements

Variables

Constants

Discharge by Spherical Flow

Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge by Spherical Flow

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

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

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

Other Formulas to find Discharge by Spherical Flow

Go Discharge by Spherical Flow

Q s = Q fe \cdot (\frac{r}{b}) \cdot \log ((\frac{R}{r}), e)

Go Discharge by Spherical Flow with Base 10

Q s = 2.3 \cdot Q fe \cdot (\frac{r}{b}) \cdot \log ((\frac{R}{r}), 10)

Other formulas in Spherical Flow in a Well category

Go Coefficient of Permeability given Discharge due to Spherical Flow in Well

K = \frac{Q s}{2 \cdot π \cdot r \cdot (H - h w)}

Go Radius of Well given Discharge due to Spherical Flow in Well

r = \frac{Q s}{2 \cdot π \cdot K \cdot (H - h w)}

Go Thickness of Aquifer given Discharge due to Spherical Flow in Well

H = h w + (\frac{Q s}{2 \cdot π \cdot K \cdot r})

Go Depth of Water in Well given Discharge due to Spherical Flow in Well

h w = H - (\frac{Q s}{2 \cdot π \cdot K \cdot r})

How to Evaluate Discharge due to Spherical Flow in Well?

Discharge due to Spherical Flow in Well evaluator uses Discharge by Spherical Flow = 2*pi*Coefficient of Permeability*Radius of Well*(Initial Piezometric Surface-Depth of Water) to evaluate the Discharge by Spherical Flow, Discharge due to Spherical Flow in Well formula is defined as the rate of fluid flow from a well in a confined or unconfined aquifer, influenced by the hydraulic conductivity, radius of influence, and pressure head difference between the water table and the well water level. Discharge by Spherical Flow is denoted by Q_s symbol.

How to evaluate Discharge due to Spherical Flow in Well using this online evaluator? To use this online evaluator for Discharge due to Spherical Flow in Well, enter Coefficient of Permeability (K), Radius of Well (r), Initial Piezometric Surface (H) & Depth of Water (h_w) and hit the calculate button.

FAQs on Discharge due to Spherical Flow in Well

What is the formula to find Discharge due to Spherical Flow in Well?

The formula of Discharge due to Spherical Flow in Well is expressed as Discharge by Spherical Flow = 2*pi*Coefficient of Permeability*Radius of Well*(Initial Piezometric Surface-Depth of Water). Here is an example- 0.340597 = 2*pi*0.00105*2.94*(20-2.44).

How to calculate Discharge due to Spherical Flow in Well?

With Coefficient of Permeability (K), Radius of Well (r), Initial Piezometric Surface (H) & Depth of Water (h_w) we can find Discharge due to Spherical Flow in Well using the formula - Discharge by Spherical Flow = 2*pi*Coefficient of Permeability*Radius of Well*(Initial Piezometric Surface-Depth of Water). This formula also uses Archimedes' constant .

What are the other ways to Calculate Discharge by Spherical Flow?

Here are the different ways to Calculate Discharge by Spherical Flow-

Discharge by Spherical Flow=Discharge for Fully Penetrating Gravity Well*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)
Discharge by Spherical Flow=2.3*Discharge for Fully Penetrating Gravity Well*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),10)

Can the Discharge due to Spherical Flow in Well be negative?

No, the Discharge due to Spherical Flow in Well, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge due to Spherical Flow in Well?

Discharge due to Spherical Flow in 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 due to Spherical Flow in Well can be measured.

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Discharge due to Spherical Flow in Well Formula

​GoDischarge by Spherical Flow Formula

​GoDischarge by Spherical Flow with Base 10 Formula

Discharge due to Spherical Flow in Well Example

Discharge due to Spherical Flow in Well Solution

Discharge due to Spherical Flow in Well Formula Elements

Other Formulas to find Discharge by Spherical Flow

Other formulas in Spherical Flow in a Well category

How to Evaluate Discharge due to Spherical Flow in Well?

FAQs on Discharge due to Spherical Flow in Well

Variable Name

GoDischarge by Spherical Flow Formula

GoDischarge by Spherical Flow with Base 10 Formula