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Discharge by Spherical Flow Formula

GoDischarge due to Spherical Flow in Well 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 = Q fe \cdot (\frac{r}{b}) \cdot \log ((\frac{R}{r}), e)

Q_s - Discharge by Spherical Flow?Q_fe - Discharge for Fully Penetrating Gravity Well?r - Radius of Well?b - Aquifer Thickness?R - Radius of Influence?

Discharge by Spherical Flow Example

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Here is how the Discharge by Spherical Flow equation looks like with Values.

Here is how the Discharge by Spherical Flow equation looks like with Units.

Here is how the Discharge by Spherical Flow equation looks like.

0.3401 = 6.12 \cdot (\frac{2.94}{15}) \cdot \log ((\frac{100}{2.94}), e)

0.3401m³/s = 6.12m³/s \cdot (\frac{2.94m}{15m}) \cdot \log ((\frac{100m}{2.94m}), e)

0.3401 = 6.12 \cdot (\frac{2.94}{15}) \cdot \log ((\frac{100}{2.94}), e)

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Discharge by Spherical Flow Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q s = 6.12m³/s \cdot (\frac{2.94m}{15m}) \cdot \log ((\frac{100m}{2.94m}), e)

Next Step Prepare to Evaluate

∴

Q s = 6.12 \cdot (\frac{2.94}{15}) \cdot \log ((\frac{100}{2.94}), e)

Next Step Evaluate

∴

Q s = 0.34011948483906m³/s

LAST Step Rounding Answer

∴

Q s = 0.3401m³/s

Discharge by Spherical Flow Formula Elements

Variables

Functions

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

Discharge for Fully Penetrating Gravity Well

Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer.

Symbol: Q_fe

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge for Fully Penetrating Gravity Well

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

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

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

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Discharge by Spherical Flow

Go Discharge due to Spherical Flow in Well

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

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 by Spherical Flow?

Discharge by Spherical Flow evaluator uses Discharge by Spherical Flow = Discharge for Fully Penetrating Gravity Well*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e) to evaluate the Discharge by Spherical Flow, Discharge by Spherical Flow formula is defined as a measure of the rate of fluid flow from a well or a spherical source, taking into account the radius of the well, the distance from the well to the point of measurement, and the properties of the surrounding porous medium. Discharge by Spherical Flow is denoted by Q_s symbol.

How to evaluate Discharge by Spherical Flow using this online evaluator? To use this online evaluator for Discharge by Spherical Flow, enter Discharge for Fully Penetrating Gravity Well (Q_fe), Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R) and hit the calculate button.

FAQs on Discharge by Spherical Flow

What is the formula to find Discharge by Spherical Flow?

The formula of Discharge by Spherical Flow is expressed as Discharge by Spherical Flow = Discharge for Fully Penetrating Gravity Well*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e). Here is an example- 0.340119 = 6.12*(2.94/15)*log((100/2.94),e).

How to calculate Discharge by Spherical Flow?

With Discharge for Fully Penetrating Gravity Well (Q_fe), Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R) we can find Discharge by Spherical Flow using the formula - Discharge by Spherical Flow = Discharge for Fully Penetrating Gravity Well*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e). This formula also uses Logarithmic Inverse (log) function(s).

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=2*pi*Coefficient of Permeability*Radius of Well*(Initial Piezometric Surface-Depth of Water)
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 by Spherical Flow be negative?

No, the Discharge by Spherical Flow, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge by Spherical Flow?

Discharge by Spherical Flow 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 by Spherical Flow can be measured.

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: Unit

Discharge by Spherical Flow Formula

​GoDischarge due to Spherical Flow in Well Formula

​GoDischarge by Spherical Flow with Base 10 Formula

Discharge by Spherical Flow Example

Discharge by Spherical Flow Solution

Discharge by Spherical Flow Formula Elements

Other Formulas to find Discharge by Spherical Flow

Other formulas in Spherical Flow in a Well category

How to Evaluate Discharge by Spherical Flow?

FAQs on Discharge by Spherical Flow

Variable Name

GoDischarge due to Spherical Flow in Well Formula

GoDischarge by Spherical Flow with Base 10 Formula