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Radius of Well given Drawdown at Well Formula

GoRadius of Well given Drawdown at Well with Base 10 Formula

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Radius of Well in Well Hydraulics 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 T envi \cdot s t}{Q})}

r^'' - Radius of Well in Well Hydraulics?R_w - Radius of Influence?T_envi - Coefficient of Transmissibility?s_t - Total Drawdown?Q - Discharge?π - Archimedes' constant?

Radius of Well given Drawdown at Well Example

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Here is how the Radius of Well given Drawdown at Well equation looks like with Values.

Here is how the Radius of Well given Drawdown at Well equation looks like with Units.

Here is how the Radius of Well given Drawdown at Well equation looks like.

0.0037 = \frac{8.6}{\exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot 0.83}{1.01})}

0.0037m = \frac{8.6m}{\exp (\frac{2 \cdot 3.1416 \cdot 1.5m²/s \cdot 0.83m}{1.01m³/s})}

0.0037 = \frac{8.6}{\exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot 0.83}{1.01})}

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Radius of Well given Drawdown at Well Solution

Follow our step by step solution on how to calculate Radius of Well given Drawdown at Well?

FIRST Step Consider the formula

r'' = \frac{R w}{\exp (\frac{2 \cdot π \cdot T envi \cdot s t}{Q})}

Next Step Substitute values of Variables

∴

r'' = \frac{8.6m}{\exp (\frac{2 \cdot π \cdot 1.5m²/s \cdot 0.83m}{1.01m³/s})}

Next Step Substitute values of Constants

∴

r'' = \frac{8.6m}{\exp (\frac{2 \cdot 3.1416 \cdot 1.5m²/s \cdot 0.83m}{1.01m³/s})}

Next Step Prepare to Evaluate

∴

r'' = \frac{8.6}{\exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot 0.83}{1.01})}

Next Step Evaluate

∴

r'' = 0.00372252767631411m

LAST Step Rounding Answer

∴

r'' = 0.0037m

Radius of Well given Drawdown at Well Formula Elements

Variables

Constants

Functions

Radius of Well in Well Hydraulics

Radius of Well in Well Hydraulics 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 Well Hydraulics

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 Transmissibility

Coefficient of Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.

Symbol: T_envi

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Transmissibility

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 Well Hydraulics

Go Radius of Well given Drawdown at Well with Base 10

r'' = \frac{R w}{10^{\frac{2.72 \cdot T envi \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 Drawdown at Well?

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

How to evaluate Radius of Well given Drawdown at Well using this online evaluator? To use this online evaluator for Radius of Well given Drawdown at Well, enter Radius of Influence (R_w), Coefficient of Transmissibility (T_envi), Total Drawdown (s_t) & Discharge (Q) and hit the calculate button.

FAQs on Radius of Well given Drawdown at Well

What is the formula to find Radius of Well given Drawdown at Well?

The formula of Radius of Well given Drawdown at Well is expressed as Radius of Well in Well Hydraulics = Radius of Influence/(exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge)). Here is an example- 0.003723 = 8.6/(exp((2*pi*1.5*0.83)/1.01)).

How to calculate Radius of Well given Drawdown at Well?

With Radius of Influence (R_w), Coefficient of Transmissibility (T_envi), Total Drawdown (s_t) & Discharge (Q) we can find Radius of Well given Drawdown at Well using the formula - Radius of Well in Well Hydraulics = Radius of Influence/(exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge)). This formula also uses Archimedes' constant and Exponential Growth (exp) function(s).

What are the other ways to Calculate Radius of Well in Well Hydraulics?

Here are the different ways to Calculate Radius of Well in Well Hydraulics-

Radius of Well in Well Hydraulics=Radius of Influence/(10^((2.72*Coefficient of Transmissibility*Total Drawdown)/Discharge))

Can the Radius of Well given Drawdown at Well be negative?

No, the Radius of Well given Drawdown at Well, measured in Length cannot be negative.

Which unit is used to measure Radius of Well given Drawdown at Well?

Radius of Well given Drawdown at 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 Drawdown at Well can be measured.

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Radius of Well given Drawdown at Well Formula

​GoRadius of Well given Drawdown at Well with Base 10 Formula

Radius of Well given Drawdown at Well Example

Radius of Well given Drawdown at Well Solution

Radius of Well given Drawdown at Well Formula Elements

Other Formulas to find Radius of Well in Well Hydraulics

Other formulas in Radial Distance and Radius of well category

How to Evaluate Radius of Well given Drawdown at Well?

FAQs on Radius of Well given Drawdown at Well

Variable Name

GoRadius of Well given Drawdown at Well with Base 10 Formula