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Radius of Well given Confined Aquifer Discharge Formula

GoRadius of Well given Confined Aquifer Discharge with Base 10 Formula

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Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary. Check FAQs

r' = \frac{R w}{\exp (\frac{2 \cdot π \cdot K WH \cdot b p \cdot s t}{Q})}

r^' - Radius of Well in Eviron. Engin.?R_w - Radius of Influence?K_WH - Coefficient of Permeability in Well Hydraulics?b_p - Aquifer Thickness During Pumping?s_t - Total Drawdown?Q - Discharge?π - Archimedes' constant?

Radius of Well given Confined Aquifer Discharge Example

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Here is how the Radius of Well given Confined Aquifer Discharge equation looks like with Values.

Here is how the Radius of Well given Confined Aquifer Discharge equation looks like with Units.

Here is how the Radius of Well given Confined Aquifer Discharge equation looks like.

2.5426 = \frac{8.6}{\exp (\frac{2 \cdot 3.1416 \cdot 10 \cdot 2.36 \cdot 0.83}{1.01})}

2.5426m = \frac{8.6m}{\exp (\frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m \cdot 0.83m}{1.01m³/s})}

2.5426 = \frac{8.6}{\exp (\frac{2 \cdot 3.1416 \cdot 10 \cdot 2.36 \cdot 0.83}{1.01})}

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Radius of Well given Confined Aquifer Discharge Solution

Follow our step by step solution on how to calculate Radius of Well given Confined Aquifer Discharge?

FIRST Step Consider the formula

r' = \frac{R w}{\exp (\frac{2 \cdot π \cdot K WH \cdot b p \cdot s t}{Q})}

Next Step Substitute values of Variables

∴

r' = \frac{8.6m}{\exp (\frac{2 \cdot π \cdot 10cm/s \cdot 2.36m \cdot 0.83m}{1.01m³/s})}

Next Step Substitute values of Constants

∴

r' = \frac{8.6m}{\exp (\frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m \cdot 0.83m}{1.01m³/s})}

Next Step Convert Units

∴

r' = \frac{8.6m}{\exp (\frac{2 \cdot 3.1416 \cdot 0.1m/s \cdot 2.36m \cdot 0.83m}{1.01m³/s})}

Next Step Prepare to Evaluate

∴

r' = \frac{8.6}{\exp (\frac{2 \cdot 3.1416 \cdot 0.1 \cdot 2.36 \cdot 0.83}{1.01})}

Next Step Evaluate

∴

r' = 2.54262627197189m

LAST Step Rounding Answer

∴

r' = 2.5426m

Radius of Well given Confined Aquifer Discharge Formula Elements

Variables

Constants

Functions

Radius of Well in Eviron. Engin.

Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.

Symbol: r^'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Well in Eviron. Engin.

Radius of Influence

Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.

Symbol: R_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Influence

Coefficient of Permeability in Well Hydraulics

Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.

Symbol: K_WH

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability in Well Hydraulics

Aquifer Thickness During Pumping

Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.

Symbol: b_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Aquifer Thickness During Pumping

Total Drawdown

The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.

Symbol: s_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Drawdown

Discharge

Discharge is the flow rate of water that is extracted from or injected into a well.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

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

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other Formulas to find Radius of Well in Eviron. Engin.

Go Radius of Well given Confined Aquifer Discharge with Base 10

r' = \frac{R w}{10^{\frac{2.72 \cdot K WH \cdot b p \cdot s t}{Q}}}

Other formulas in Radial Distance and Radius of well category

Go Radius of Well given Discharge in Confined Aquifer

r w = \frac{R w}{\exp (\frac{2 \cdot π \cdot K WH \cdot b p \cdot (H i - h w)}{Q 0})}

Go Radius of Well for Discharge in Confined Aquifer with Base 10

r w = \frac{R w}{\frac{10^{2.72 \cdot K swh \cdot b \cdot (H i - h w)}}{Q}}

Go Radius of Well given Coefficient of Transmissibility

r w = \frac{R w}{\exp (\frac{2 \cdot π \cdot T envi \cdot (H i - h w)}{Q 0})}

Go Radius of Well given Coefficient of Transmissibility with Base 10

r w = \frac{R w}{10^{\frac{2.72 \cdot T envi \cdot (H i - h w)}{Q 0}}}

How to Evaluate Radius of Well given Confined Aquifer Discharge?

Radius of Well given Confined Aquifer Discharge evaluator uses Radius of Well in Eviron. Engin. = Radius of Influence/(exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge)) to evaluate the Radius of Well in Eviron. Engin., The Radius of Well given Confined Aquifer Discharge is defined as the value of radius of well when we have prior information of other parameters used. Radius of Well in Eviron. Engin. is denoted by r^' symbol.

How to evaluate Radius of Well given Confined Aquifer Discharge using this online evaluator? To use this online evaluator for Radius of Well given Confined Aquifer Discharge, enter Radius of Influence (R_w), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Total Drawdown (s_t) & Discharge (Q) and hit the calculate button.

FAQs on Radius of Well given Confined Aquifer Discharge

What is the formula to find Radius of Well given Confined Aquifer Discharge?

The formula of Radius of Well given Confined Aquifer Discharge is expressed as Radius of Well in Eviron. Engin. = Radius of Influence/(exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge)). Here is an example- 2.542626 = 8.6/(exp((2*pi*0.1*2.36*0.83)/1.01)).

How to calculate Radius of Well given Confined Aquifer Discharge?

With Radius of Influence (R_w), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Total Drawdown (s_t) & Discharge (Q) we can find Radius of Well given Confined Aquifer Discharge using the formula - Radius of Well in Eviron. Engin. = Radius of Influence/(exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge)). This formula also uses Archimedes' constant and Exponential Growth Function function(s).

What are the other ways to Calculate Radius of Well in Eviron. Engin.?

Here are the different ways to Calculate Radius of Well in Eviron. Engin.-

Radius of Well in Eviron. Engin.=Radius of Influence/(10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge))

Can the Radius of Well given Confined Aquifer Discharge be negative?

No, the Radius of Well given Confined Aquifer Discharge, measured in Length cannot be negative.

Which unit is used to measure Radius of Well given Confined Aquifer Discharge?

Radius of Well given Confined Aquifer Discharge 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 Confined Aquifer Discharge can be measured.

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Radius of Well given Confined Aquifer Discharge Formula

​GoRadius of Well given Confined Aquifer Discharge with Base 10 Formula

Radius of Well given Confined Aquifer Discharge Example

Radius of Well given Confined Aquifer Discharge Solution

Radius of Well given Confined Aquifer Discharge Formula Elements

Other Formulas to find Radius of Well in Eviron. Engin.

Other formulas in Radial Distance and Radius of well category

How to Evaluate Radius of Well given Confined Aquifer Discharge?

FAQs on Radius of Well given Confined Aquifer Discharge

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GoRadius of Well given Confined Aquifer Discharge with Base 10 Formula