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

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Depth of Water is the depth in the well measured above the impermeable layer. Check FAQs

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

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

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

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

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

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

2.4708 = 20 - (\frac{0.34}{2 \cdot 3.1416 \cdot 0.105 \cdot 2.94})

2.4708m = 20m - (\frac{0.34m³/s}{2 \cdot 3.1416 \cdot 0.105cm/s \cdot 2.94m})

2.4708 = 20 - (\frac{0.34}{2 \cdot 3.1416 \cdot 0.105 \cdot 2.94})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h w = 20m - (\frac{0.34m³/s}{2 \cdot π \cdot 0.105cm/s \cdot 2.94m})

Next Step Substitute values of Constants

∴

h w = 20m - (\frac{0.34m³/s}{2 \cdot 3.1416 \cdot 0.105cm/s \cdot 2.94m})

Next Step Convert Units

∴

h w = 20m - (\frac{0.34m³/s}{2 \cdot 3.1416 \cdot 0.001m/s \cdot 2.94m})

Next Step Prepare to Evaluate

∴

h w = 20 - (\frac{0.34}{2 \cdot 3.1416 \cdot 0.001 \cdot 2.94})

Next Step Evaluate

∴

h w = 2.47078696104813m

LAST Step Rounding Answer

∴

h w = 2.4708m

Depth of Water in Well given Discharge due to Spherical Flow in Well Formula Elements

Variables

Constants

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

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

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

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

Depth of Water in Well given Discharge due to Spherical Flow in Well evaluator uses Depth of Water = Initial Piezometric Surface-(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well)) to evaluate the Depth of Water, Depth of Water in Well given Discharge due to Spherical Flow in Well formula is defined as the measure of water level in a well considering the discharge rate and spherical flow pattern, which is essential in understanding the groundwater flow and well hydraulics, particularly in aquifer systems and water resource management. Depth of Water is denoted by h_w symbol.

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

FAQs on Depth of Water in Well given Discharge due to Spherical Flow in Well

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

The formula of Depth of Water in Well given Discharge due to Spherical Flow in Well is expressed as Depth of Water = Initial Piezometric Surface-(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well)). Here is an example- 2.470787 = 20-(0.34/(2*pi*0.00105*2.94)).

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

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

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

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

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

Depth of Water in 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 Depth of Water in Well given Discharge due to Spherical Flow in Well can be measured.

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

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

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

Depth of Water in Well given Discharge due to Spherical Flow in Well Formula Elements

Other formulas in Spherical Flow in a Well category

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

FAQs on Depth of Water in Well given Discharge due to Spherical Flow in Well

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