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

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The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius. Check FAQs

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

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

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

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

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

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

2.9348 = \frac{0.34}{2 \cdot 3.1416 \cdot 0.105 \cdot (20 - 2.44)}

2.9348m = \frac{0.34m³/s}{2 \cdot 3.1416 \cdot 0.105cm/s \cdot (20m - 2.44m)}

2.9348 = \frac{0.34}{2 \cdot 3.1416 \cdot 0.105 \cdot (20 - 2.44)}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \frac{0.34m³/s}{2 \cdot π \cdot 0.105cm/s \cdot (20m - 2.44m)}

Next Step Substitute values of Constants

∴

r = \frac{0.34m³/s}{2 \cdot 3.1416 \cdot 0.105cm/s \cdot (20m - 2.44m)}

Next Step Convert Units

∴

r = \frac{0.34m³/s}{2 \cdot 3.1416 \cdot 0.001m/s \cdot (20m - 2.44m)}

Next Step Prepare to Evaluate

∴

r = \frac{0.34}{2 \cdot 3.1416 \cdot 0.001 \cdot (20 - 2.44)}

Next Step Evaluate

∴

r = 2.93484546324137m

LAST Step Rounding Answer

∴

r = 2.9348m

Radius of Well given Discharge due to Spherical Flow in Well Formula Elements

Variables

Constants

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

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

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

Radius of Well given Discharge due to Spherical Flow in Well evaluator uses Radius of Well = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water)) to evaluate the Radius of Well, Radius of Well given Discharge due to Spherical Flow in Well formula is defined as a method to estimate the effective radius of a well in a spherical flow pattern, which is essential in understanding the groundwater flow and its impact on the well's discharge rate. Radius of Well is denoted by r symbol.

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

FAQs on Radius of Well given Discharge due to Spherical Flow in Well

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

The formula of Radius of Well given Discharge due to Spherical Flow in Well is expressed as Radius of Well = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water)). Here is an example- 2.934845 = 0.34/(2*pi*0.00105*(20-2.44)).

How to calculate Radius of Well given Discharge due to Spherical Flow in Well?

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

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

No, the Radius of Well given Discharge due to Spherical Flow in Well, measured in Length cannot be negative.

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

Radius of Well given Discharge due to Spherical Flow in Well is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Well given Discharge due to Spherical Flow in Well can be measured.

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

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

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

Radius of Well given Discharge due to Spherical Flow in Well Formula Elements

Other formulas in Spherical Flow in a Well category

How to Evaluate Radius of Well given Discharge due to Spherical Flow in Well?

FAQs on Radius of Well given Discharge due to Spherical Flow in Well

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