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Radius of Well given Aquifer Loss Coefficient Formula

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The Radius of Well refers to the distance from center of well to its outer boundary. Check FAQs

r' = \frac{r i}{\exp (B \cdot 2 \cdot π \cdot k \cdot b w)}

r^' - Radius of Well?r_i - Radius of Influence?B - Aquifer Loss Coefficient?k - Coefficient of Permeability?b_w - Aquifer Thickness?π - Archimedes' constant?

Radius of Well given Aquifer Loss Coefficient Example

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

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

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

2.2374 = \frac{2.92}{\exp (28.25 \cdot 2 \cdot 3.1416 \cdot 0.01 \cdot 15)}

2.2374m = \frac{2.92m}{\exp (28.25 \cdot 2 \cdot 3.1416 \cdot 0.01cm/s \cdot 15m)}

2.2374 = \frac{2.92}{\exp (28.25 \cdot 2 \cdot 3.1416 \cdot 0.01 \cdot 15)}

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Radius of Well given Aquifer Loss Coefficient Solution

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

FIRST Step Consider the formula

r' = \frac{r i}{\exp (B \cdot 2 \cdot π \cdot k \cdot b w)}

Next Step Substitute values of Variables

∴

r' = \frac{2.92m}{\exp (28.25 \cdot 2 \cdot π \cdot 0.01cm/s \cdot 15m)}

Next Step Substitute values of Constants

∴

r' = \frac{2.92m}{\exp (28.25 \cdot 2 \cdot 3.1416 \cdot 0.01cm/s \cdot 15m)}

Next Step Convert Units

∴

r' = \frac{2.92m}{\exp (28.25 \cdot 2 \cdot 3.1416 \cdot 0.0001m/s \cdot 15m)}

Next Step Prepare to Evaluate

∴

r' = \frac{2.92}{\exp (28.25 \cdot 2 \cdot 3.1416 \cdot 0.0001 \cdot 15)}

Next Step Evaluate

∴

r' = 2.23744287225634m

LAST Step Rounding Answer

∴

r' = 2.2374m

Radius of Well given Aquifer Loss Coefficient Formula Elements

Variables

Constants

Functions

Radius of Well

The Radius of Well refers to 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

Radius of Influence

Radius of Influence refers to the maximum distance from a pumping well where the effects of pumping (such as drawdown) are significant, which helps in understanding the area affected.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Influence

Aquifer Loss Coefficient

Aquifer Loss Coefficient is constant for a given flow rate.

Symbol: B

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Aquifer Loss Coefficient

Coefficient of Permeability

The Coefficient of Permeability refers to the measure how easily a fluid can flow through a porous material, such as soil or rock, also known as hydraulic conductivity.

Symbol: k

Measurement: SpeedUnit: cm/s

Note: Value can be positive or negative.

Formulas to find Coefficient of Permeability

Aquifer Thickness

The Aquifer Thickness (at Midpoint between Equipotential lines) refers to the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.

Symbol: b_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Aquifer Thickness

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 in Aquifer Loss category

Go Aquifer Loss given Drawdown

BQ = s t - CQ n

Go Aquifer Loss Coefficient

B = \frac{\log ((\frac{R}{r'}), e)}{2 \cdot π \cdot k \cdot b w}

Go Aquifer Loss given Aquifer Loss Coefficient

BQ = B \cdot Q

Go Drawdown given Well Loss

s t = BQ + CQ n

How to Evaluate Radius of Well given Aquifer Loss Coefficient?

Radius of Well given Aquifer Loss Coefficient evaluator uses Radius of Well = Radius of Influence/exp(Aquifer Loss Coefficient*2*pi*Coefficient of Permeability*Aquifer Thickness) to evaluate the Radius of Well, The Radius of Well given Aquifer Loss Coefficient formula is defined as the measure of the effective radius of a well in an aquifer system, which is affected by the aquifer loss coefficient, a parameter that characterizes the resistance to flow in the aquifer. Radius of Well is denoted by r^' symbol.

How to evaluate Radius of Well given Aquifer Loss Coefficient using this online evaluator? To use this online evaluator for Radius of Well given Aquifer Loss Coefficient, enter Radius of Influence (r_i), Aquifer Loss Coefficient (B), Coefficient of Permeability (k) & Aquifer Thickness (b_w) and hit the calculate button.

FAQs on Radius of Well given Aquifer Loss Coefficient

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

The formula of Radius of Well given Aquifer Loss Coefficient is expressed as Radius of Well = Radius of Influence/exp(Aquifer Loss Coefficient*2*pi*Coefficient of Permeability*Aquifer Thickness). Here is an example- 2.237443 = 2.92/exp(28.25*2*pi*0.0001*15).

How to calculate Radius of Well given Aquifer Loss Coefficient?

With Radius of Influence (r_i), Aquifer Loss Coefficient (B), Coefficient of Permeability (k) & Aquifer Thickness (b_w) we can find Radius of Well given Aquifer Loss Coefficient using the formula - Radius of Well = Radius of Influence/exp(Aquifer Loss Coefficient*2*pi*Coefficient of Permeability*Aquifer Thickness). This formula also uses Archimedes' constant and Exponential Growth (exp) function(s).

Can the Radius of Well given Aquifer Loss Coefficient be negative?

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

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

Radius of Well given Aquifer Loss Coefficient 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 Aquifer Loss Coefficient can be measured.

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Radius of Well given Aquifer Loss Coefficient Formula

Radius of Well given Aquifer Loss Coefficient Example

Radius of Well given Aquifer Loss Coefficient Solution

Radius of Well given Aquifer Loss Coefficient Formula Elements

Other formulas in Aquifer Loss category

How to Evaluate Radius of Well given Aquifer Loss Coefficient?

FAQs on Radius of Well given Aquifer Loss Coefficient

Variable Name