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Radius of Influence given Discharge by Spherical Flow with Base 10 Formula

GoRadius of Influence given Ratio of Discharge Formula

GoRadius of Influence given Ratio of Discharge with Base 10 Formula

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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. Check FAQs

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

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

Radius of Influence given Discharge by Spherical Flow with Base 10 Example

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

Here is how the Radius of Influence given Discharge by Spherical Flow with Base 10 equation looks like.

3.9047 = 2.94 \cdot 10^{\frac{(\frac{0.34}{6.12}) \cdot 15}{2.3 \cdot 2.94}}

3.9047m = 2.94m \cdot 10^{\frac{(\frac{0.34m³/s}{6.12m³/s}) \cdot 15m}{2.3 \cdot 2.94m}}

3.9047 = 2.94 \cdot 10^{\frac{(\frac{0.34}{6.12}) \cdot 15}{2.3 \cdot 2.94}}

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Radius of Influence given Discharge by Spherical Flow with Base 10 Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = 2.94m \cdot 10^{\frac{(\frac{0.34m³/s}{6.12m³/s}) \cdot 15m}{2.3 \cdot 2.94m}}

Next Step Prepare to Evaluate

∴

R = 2.94 \cdot 10^{\frac{(\frac{0.34}{6.12}) \cdot 15}{2.3 \cdot 2.94}}

Next Step Evaluate

∴

R = 3.90467625375336m

LAST Step Rounding Answer

∴

R = 3.9047m

Radius of Influence given Discharge by Spherical Flow with Base 10 Formula Elements

Variables

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

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

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

Other Formulas to find Radius of Influence

Go Radius of Influence given Ratio of Discharge

R = r \cdot \exp (\frac{QsQ ratio \cdot b}{r})

Go Radius of Influence given Ratio of Discharge with Base 10

R = r \cdot 10^{\frac{QsQ ratio \cdot b}{2.3 \cdot r}}

Go Radius of Influence given Discharge by Spherical Flow

R = r \cdot \exp (\frac{(\frac{Q s}{Q fe}) \cdot b}{r})

Other formulas in Spherical Flow in a Well category

Go Discharge due to Spherical Flow in Well

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

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})

How to Evaluate Radius of Influence given Discharge by Spherical Flow with Base 10?

Radius of Influence given Discharge by Spherical Flow with Base 10 evaluator uses Radius of Influence = Radius of Well*10^(((Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well)*Aquifer Thickness)/(2.3*Radius of Well)) to evaluate the Radius of Influence, Radius of Influence given Discharge by Spherical Flow with Base 10 formula is defined as a measure of the radial distance from the pumping well to the point where the drawdown is negligible, used to determine the area of influence of a pumping well in a confined aquifer. Radius of Influence is denoted by R symbol.

How to evaluate Radius of Influence given Discharge by Spherical Flow with Base 10 using this online evaluator? To use this online evaluator for Radius of Influence given Discharge by Spherical Flow with Base 10, enter Radius of Well (r), Discharge by Spherical Flow (Q_s), Discharge for Fully Penetrating Gravity Well (Q_fe) & Aquifer Thickness (b) and hit the calculate button.

FAQs on Radius of Influence given Discharge by Spherical Flow with Base 10

What is the formula to find Radius of Influence given Discharge by Spherical Flow with Base 10?

The formula of Radius of Influence given Discharge by Spherical Flow with Base 10 is expressed as Radius of Influence = Radius of Well*10^(((Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well)*Aquifer Thickness)/(2.3*Radius of Well)). Here is an example- 3.904676 = 2.94*10^(((0.34/6.12)*15)/(2.3*2.94)).

How to calculate Radius of Influence given Discharge by Spherical Flow with Base 10?

With Radius of Well (r), Discharge by Spherical Flow (Q_s), Discharge for Fully Penetrating Gravity Well (Q_fe) & Aquifer Thickness (b) we can find Radius of Influence given Discharge by Spherical Flow with Base 10 using the formula - Radius of Influence = Radius of Well*10^(((Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well)*Aquifer Thickness)/(2.3*Radius of Well)).

What are the other ways to Calculate Radius of Influence?

Here are the different ways to Calculate Radius of Influence-

Radius of Influence=Radius of Well*exp((Ratio of Discharge*Aquifer Thickness)/Radius of Well)
Radius of Influence=Radius of Well*10^((Ratio of Discharge*Aquifer Thickness)/(2.3*Radius of Well))
Radius of Influence=Radius of Well*exp(((Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well)*Aquifer Thickness)/Radius of Well)

Can the Radius of Influence given Discharge by Spherical Flow with Base 10 be negative?

No, the Radius of Influence given Discharge by Spherical Flow with Base 10, measured in Length cannot be negative.

Which unit is used to measure Radius of Influence given Discharge by Spherical Flow with Base 10?

Radius of Influence given Discharge by Spherical Flow with Base 10 is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Influence given Discharge by Spherical Flow with Base 10 can be measured.

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Radius of Influence given Discharge by Spherical Flow with Base 10 Formula

​GoRadius of Influence given Ratio of Discharge Formula

​GoRadius of Influence given Ratio of Discharge with Base 10 Formula

Radius of Influence given Discharge by Spherical Flow with Base 10 Example

Radius of Influence given Discharge by Spherical Flow with Base 10 Solution

Radius of Influence given Discharge by Spherical Flow with Base 10 Formula Elements

Other Formulas to find Radius of Influence

Other formulas in Spherical Flow in a Well category

How to Evaluate Radius of Influence given Discharge by Spherical Flow with Base 10?

FAQs on Radius of Influence given Discharge by Spherical Flow with Base 10

Variable Name

GoRadius of Influence given Ratio of Discharge Formula

GoRadius of Influence given Ratio of Discharge with Base 10 Formula