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Discharge by Spherical Flow with Base 10 Formula

GoDischarge due to Spherical Flow in Well Formula

GoDischarge by Spherical Flow 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 = 2.3 \cdot Q fe \cdot (\frac{r}{b}) \cdot \log ((\frac{R}{r}), 10)

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 with Base 10 Example

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Here is how the Discharge by Spherical Flow with Base 10 equation looks like with Values.

Here is how the Discharge by Spherical Flow with Base 10 equation looks like with Units.

Here is how the Discharge by Spherical Flow with Base 10 equation looks like.

1.8013 = 2.3 \cdot 6.12 \cdot (\frac{2.94}{15}) \cdot \log ((\frac{100}{2.94}), 10)

1.8013m³/s = 2.3 \cdot 6.12m³/s \cdot (\frac{2.94m}{15m}) \cdot \log ((\frac{100m}{2.94m}), 10)

1.8013 = 2.3 \cdot 6.12 \cdot (\frac{2.94}{15}) \cdot \log ((\frac{100}{2.94}), 10)

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Discharge by Spherical Flow with Base 10 Solution

Follow our step by step solution on how to calculate Discharge by Spherical Flow with Base 10?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q s = 2.3 \cdot 6.12m³/s \cdot (\frac{2.94m}{15m}) \cdot \log ((\frac{100m}{2.94m}), 10)

Next Step Prepare to Evaluate

∴

Q s = 2.3 \cdot 6.12 \cdot (\frac{2.94}{15}) \cdot \log ((\frac{100}{2.94}), 10)

Next Step Evaluate

∴

Q s = 1.80125432794264m³/s

LAST Step Rounding Answer

∴

Q s = 1.8013m³/s

Discharge by Spherical Flow with Base 10 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

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

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 with Base 10?

Discharge by Spherical Flow with Base 10 evaluator uses 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) to evaluate the Discharge by Spherical Flow, Discharge by Spherical Flow with Base 10 formula is defined as a method to quantify the flow rate of a well, considering the radius of the well and the distance from the well to the point of interest, providing a crucial parameter in groundwater flow analysis and well hydraulics. Discharge by Spherical Flow is denoted by Q_s symbol.

How to evaluate Discharge by Spherical Flow with Base 10 using this online evaluator? To use this online evaluator for Discharge by Spherical Flow with Base 10, 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 with Base 10

What is the formula to find Discharge by Spherical Flow with Base 10?

The formula of Discharge by Spherical Flow with Base 10 is expressed as 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). Here is an example- 1.801254 = 2.3*6.12*(2.94/15)*log((100/2.94),10).

How to calculate Discharge by Spherical Flow with Base 10?

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 with Base 10 using the formula - 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). This formula also uses Logarithmic Inverse Function 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=Discharge for Fully Penetrating Gravity Well*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)

Can the Discharge by Spherical Flow with Base 10 be negative?

No, the Discharge by Spherical Flow with Base 10, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge by Spherical Flow with Base 10?

Discharge by Spherical Flow with Base 10 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 with Base 10 can be measured.

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Discharge by Spherical Flow with Base 10 Formula

​GoDischarge due to Spherical Flow in Well Formula

​GoDischarge by Spherical Flow Formula

Discharge by Spherical Flow with Base 10 Example

Discharge by Spherical Flow with Base 10 Solution

Discharge by Spherical Flow with Base 10 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 with Base 10?

FAQs on Discharge by Spherical Flow with Base 10

Variable Name

GoDischarge due to Spherical Flow in Well Formula

GoDischarge by Spherical Flow Formula