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Radius of Influence given Coefficient of Transmissibility Formula

GoRadius of Influence given Coefficient of Transmissibility with Base 10 Formula

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Radius of Influence(Coeffi. of Transmissibility) is the distance from a pumping well to the point where the drawdown becomes negligible or zero. Check FAQs

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

r_ic - Radius of Influence(Coeffi. of Transmissibility)?r - Radius of Well?T_envi - Coefficient of Transmissibility?H_i - Initial Aquifer Thickness?h_w - Depth of Water?Q₀ - Discharge at Time t=0?π - Archimedes' constant?

Radius of Influence given Coefficient of Transmissibility Example

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Here is how the Radius of Influence given Coefficient of Transmissibility equation looks like with Values.

Here is how the Radius of Influence given Coefficient of Transmissibility equation looks like with Units.

Here is how the Radius of Influence given Coefficient of Transmissibility equation looks like.

7.5568 = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot (2.48 - 2.44)}{50})

7.5568m = 7.5m \cdot \exp (\frac{2 \cdot 3.1416 \cdot 1.5m²/s \cdot (2.48m - 2.44m)}{50m³/s})

7.5568 = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot (2.48 - 2.44)}{50})

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Radius of Influence given Coefficient of Transmissibility Solution

Follow our step by step solution on how to calculate Radius of Influence given Coefficient of Transmissibility?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r ic = 7.5m \cdot \exp (\frac{2 \cdot π \cdot 1.5m²/s \cdot (2.48m - 2.44m)}{50m³/s})

Next Step Substitute values of Constants

∴

r ic = 7.5m \cdot \exp (\frac{2 \cdot 3.1416 \cdot 1.5m²/s \cdot (2.48m - 2.44m)}{50m³/s})

Next Step Prepare to Evaluate

∴

r ic = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot (2.48 - 2.44)}{50})

Next Step Evaluate

∴

r ic = 7.5567623880196m

LAST Step Rounding Answer

∴

r ic = 7.5568m

Radius of Influence given Coefficient of Transmissibility Formula Elements

Variables

Constants

Functions

Radius of Influence(Coeffi. of Transmissibility)

Radius of Influence(Coeffi. of Transmissibility) is the distance from a pumping well to the point where the drawdown becomes negligible or zero.

Symbol: r_ic

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Influence(Coeffi. of Transmissibility)

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

Initial Aquifer Thickness

Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Aquifer Thickness

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

Discharge at Time t=0

Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.

Symbol: Q₀

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge at Time t=0

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(Coeffi. of Transmissibility)

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}}

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 Confined Aquifer Discharge

R w = r \cdot \exp (\frac{2 \cdot π \cdot K WH \cdot b p \cdot s t}{Q li})

Go Radius of Influence given Confined Aquifer Discharge with Base 10

R w = r \cdot 10^{\frac{2.72 \cdot K WH \cdot b p \cdot s t}{Q li}}

How to Evaluate Radius of Influence given Coefficient of Transmissibility?

Radius of Influence given Coefficient of Transmissibility evaluator uses Radius of Influence(Coeffi. of Transmissibility) = Radius of Well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0) to evaluate the Radius of Influence(Coeffi. of Transmissibility), The Radius of Influence given Coefficient of Transmissibility formula is defined as the value of radius of influence when we have prior information of coefficient of transmissibility. Radius of Influence(Coeffi. of Transmissibility) is denoted by r_ic symbol.

How to evaluate Radius of Influence given Coefficient of Transmissibility using this online evaluator? To use this online evaluator for Radius of Influence given Coefficient of Transmissibility, enter Radius of Well (r), Coefficient of Transmissibility (T_envi), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge at Time t=0 (Q₀) and hit the calculate button.

FAQs on Radius of Influence given Coefficient of Transmissibility

What is the formula to find Radius of Influence given Coefficient of Transmissibility?

The formula of Radius of Influence given Coefficient of Transmissibility is expressed as Radius of Influence(Coeffi. of Transmissibility) = Radius of Well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0). Here is an example- 7.556762 = 7.5*exp((2*pi*1.5*(2.48-2.44))/50).

How to calculate Radius of Influence given Coefficient of Transmissibility?

With Radius of Well (r), Coefficient of Transmissibility (T_envi), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge at Time t=0 (Q₀) we can find Radius of Influence given Coefficient of Transmissibility using the formula - Radius of Influence(Coeffi. of Transmissibility) = Radius of Well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0). This formula also uses Archimedes' constant and Exponential Growth (exp) function(s).

What are the other ways to Calculate Radius of Influence(Coeffi. of Transmissibility)?

Here are the different ways to Calculate Radius of Influence(Coeffi. of Transmissibility)-

Radius of Influence(Coeffi. of Transmissibility)=Radius of Well*10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge of Liquid)

Can the Radius of Influence given Coefficient of Transmissibility be negative?

No, the Radius of Influence given Coefficient of Transmissibility, measured in Length cannot be negative.

Which unit is used to measure Radius of Influence given Coefficient of Transmissibility?

Radius of Influence given Coefficient of Transmissibility 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 Coefficient of Transmissibility can be measured.

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Radius of Influence given Coefficient of Transmissibility Formula

​GoRadius of Influence given Coefficient of Transmissibility with Base 10 Formula

Radius of Influence given Coefficient of Transmissibility Example

Radius of Influence given Coefficient of Transmissibility Solution

Radius of Influence given Coefficient of Transmissibility Formula Elements

Other Formulas to find Radius of Influence(Coeffi. of Transmissibility)

Other formulas in Radius of Influence category

How to Evaluate Radius of Influence given Coefficient of Transmissibility?

FAQs on Radius of Influence given Coefficient of Transmissibility

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GoRadius of Influence given Coefficient of Transmissibility with Base 10 Formula