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Radius of Influence given Drawdown at Well Formula

GoRadius of Influence given Drawdown at Well with Base 10 Formula

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Radius of Influence given Drawdown at Well is the horizontal distance from the center of a well to the point in an aquifer where the drawdown becomes negligible, typically zero. Check FAQs

R iw = r \cdot \exp (\frac{2 \cdot π \cdot T envi \cdot s t}{Q li})

R_iw - Radius of Influence given Drawdown at Well?r - Radius of Well?T_envi - Coefficient of Transmissibility?s_t - Total Drawdown?Q_li - Discharge of Liquid?π - Archimedes' constant?

Radius of Influence given Drawdown at Well Example

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

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

12.6342 = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot 0.83}{15})

12.6342m = 7.5m \cdot \exp (\frac{2 \cdot 3.1416 \cdot 1.5m²/s \cdot 0.83m}{15m³/s})

12.6342 = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot 0.83}{15})

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Radius of Influence given Drawdown at Well Solution

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

FIRST Step Consider the formula

R iw = r \cdot \exp (\frac{2 \cdot π \cdot T envi \cdot s t}{Q li})

Next Step Substitute values of Variables

∴

R iw = 7.5m \cdot \exp (\frac{2 \cdot π \cdot 1.5m²/s \cdot 0.83m}{15m³/s})

Next Step Substitute values of Constants

∴

R iw = 7.5m \cdot \exp (\frac{2 \cdot 3.1416 \cdot 1.5m²/s \cdot 0.83m}{15m³/s})

Next Step Prepare to Evaluate

∴

R iw = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot 0.83}{15})

Next Step Evaluate

∴

R iw = 12.6341997269467m

LAST Step Rounding Answer

∴

R iw = 12.6342m

Radius of Influence given Drawdown at Well Formula Elements

Variables

Constants

Functions

Radius of Influence given Drawdown at Well

Radius of Influence given Drawdown at Well is the horizontal distance from the center of a well to the point in an aquifer where the drawdown becomes negligible, typically zero.

Symbol: R_iw

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Influence given Drawdown at Well

Radius of Well

Radius of Well 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

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 of Liquid

Discharge of Liquid is the rate of flow of a liquid.

Symbol: Q_li

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge of Liquid

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 Influence given Drawdown at Well

Go Radius of Influence given Drawdown at Well with Base 10

R iw = r \cdot 10^{\frac{2.72 \cdot T envi \cdot s t}{Q li}}

Other formulas in Radius of Influence category

Go Radius of Influence given Discharge in Confined Aquifer

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

Go Radius of Influence given Discharge in Confined Aquifer with Base 10

R id = r \cdot 10^{\frac{2.72 \cdot K WH \cdot b p \cdot (H i - h w)}{Q 0}}

Go Radius of Influence given Coefficient of Transmissibility

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

Go Radius of Influence given Coefficient of Transmissibility with Base 10

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

How to Evaluate Radius of Influence given Drawdown at Well?

Radius of Influence given Drawdown at Well evaluator uses Radius of Influence given Drawdown at Well = Radius of Well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge of Liquid) to evaluate the Radius of Influence given Drawdown at Well, The Radius of Influence given Drawdown at Well formula is defined as the calculation of the the horizontal distance from the center of a well (or borehole) to the point in an aquifer where the drawdown becomes negligible, typically zero, when we have prior information of drawdown at well. Radius of Influence given Drawdown at Well is denoted by R_iw symbol.

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

FAQs on Radius of Influence given Drawdown at Well

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

The formula of Radius of Influence given Drawdown at Well is expressed as Radius of Influence given Drawdown at Well = Radius of Well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge of Liquid). Here is an example- 12.6342 = 7.5*exp((2*pi*1.5*0.83)/15).

How to calculate Radius of Influence given Drawdown at Well?

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

What are the other ways to Calculate Radius of Influence given Drawdown at Well?

Here are the different ways to Calculate Radius of Influence given Drawdown at Well-

Radius of Influence given Drawdown at Well=Radius of Well*10^((2.72*Coefficient of Transmissibility*Total Drawdown)/Discharge of Liquid)

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

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

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

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

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Radius of Influence given Drawdown at Well Formula

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

Radius of Influence given Drawdown at Well Example

Radius of Influence given Drawdown at Well Solution

Radius of Influence given Drawdown at Well Formula Elements

Other Formulas to find Radius of Influence given Drawdown at Well

Other formulas in Radius of Influence category

How to Evaluate Radius of Influence given Drawdown at Well?

FAQs on Radius of Influence given Drawdown at Well

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GoRadius of Influence given Drawdown at Well with Base 10 Formula