FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Radius of Well given Coefficient of Transmissibility Formula

GoRadius of Well given Discharge in Confined Aquifer Formula

GoRadius of Well for Discharge in Confined Aquifer with Base 10 Formula

Fx Copy

LaTeX Copy

Radius of Well given Discharge is the radial distance from the center of the well to the outer boundary of the aquifer, where the effects of pumping or water withdrawal are observed. Check FAQs

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

r_w - Radius of Well given Discharge?R_w - Radius of Influence?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 Well given Coefficient of Transmissibility Example

With values

With units

Only example

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

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

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

8.5354 = \frac{8.6}{\exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot (2.48 - 2.44)}{50})}

8.5354m = \frac{8.6m}{\exp (\frac{2 \cdot 3.1416 \cdot 1.5m²/s \cdot (2.48m - 2.44m)}{50m³/s})}

8.5354 = \frac{8.6}{\exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot (2.48 - 2.44)}{50})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Environmental Engineering » fx Radius of Well given Coefficient of Transmissibility

Radius of Well given Coefficient of Transmissibility Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r w = \frac{8.6m}{\exp (\frac{2 \cdot π \cdot 1.5m²/s \cdot (2.48m - 2.44m)}{50m³/s})}

Next Step Substitute values of Constants

∴

r w = \frac{8.6m}{\exp (\frac{2 \cdot 3.1416 \cdot 1.5m²/s \cdot (2.48m - 2.44m)}{50m³/s})}

Next Step Prepare to Evaluate

∴

r w = \frac{8.6}{\exp (\frac{2 \cdot 3.1416 \cdot 1.5 \cdot (2.48 - 2.44)}{50})}

Next Step Evaluate

∴

r w = 8.53540136477726m

LAST Step Rounding Answer

∴

r w = 8.5354m

Radius of Well given Coefficient of Transmissibility Formula Elements

Variables

Constants

Functions

Radius of Well given Discharge

Radius of Well given Discharge is the radial distance from the center of the well to the outer boundary of the aquifer, where the effects of pumping or water withdrawal are observed.

Symbol: r_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Well given Discharge

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

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 Well given Discharge

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 with Base 10

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

Other formulas in Radial Distance and Radius of well category

Go Radius of Well given Confined Aquifer Discharge

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

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}}}

Go Radius of Well given Drawdown at Well

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

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}}}

How to Evaluate Radius of Well given Coefficient of Transmissibility?

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

How to evaluate Radius of Well given Coefficient of Transmissibility using this online evaluator? To use this online evaluator for Radius of Well given Coefficient of Transmissibility, enter Radius of Influence (R_w), 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 Well given Coefficient of Transmissibility

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

The formula of Radius of Well given Coefficient of Transmissibility is expressed as Radius of Well given Discharge = Radius of Influence/exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0). Here is an example- 8.535401 = 8.6/exp((2*pi*1.5*(2.48-2.44))/50).

How to calculate Radius of Well given Coefficient of Transmissibility?

With Radius of Influence (R_w), 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 Well given Coefficient of Transmissibility using the formula - Radius of Well given Discharge = Radius of Influence/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 Well given Discharge?

Here are the different ways to Calculate Radius of Well given Discharge-

Radius of Well given Discharge=Radius of Influence/exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
Radius of Well given Discharge=Radius of Influence/(10^(2.72*Standard Coefficient of Permeability*Thickness of Aquifer*(Initial Aquifer Thickness-Depth of Water))/Discharge)
Radius of Well given Discharge=Radius of Influence/10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Radius of Well given Coefficient of Transmissibility Formula

​GoRadius of Well given Discharge in Confined Aquifer Formula

​GoRadius of Well for Discharge in Confined Aquifer with Base 10 Formula

Radius of Well given Coefficient of Transmissibility Example

Radius of Well given Coefficient of Transmissibility Solution

Radius of Well given Coefficient of Transmissibility Formula Elements

Other Formulas to find Radius of Well given Discharge

Other formulas in Radial Distance and Radius of well category

How to Evaluate Radius of Well given Coefficient of Transmissibility?

FAQs on Radius of Well given Coefficient of Transmissibility

Variable Name

GoRadius of Well given Discharge in Confined Aquifer Formula

GoRadius of Well for Discharge in Confined Aquifer with Base 10 Formula