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Aquifer Loss Coefficient Formula

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Aquifer Loss Coefficient is constant for a given flow rate. Check FAQs

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

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

Aquifer Loss Coefficient Example

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Here is how the Aquifer Loss Coefficient equation looks like with Values.

Here is how the Aquifer Loss Coefficient equation looks like with Units.

Here is how the Aquifer Loss Coefficient equation looks like.

30.0852 = \frac{\log ((\frac{100}{2.94}), e)}{2 \cdot 3.1416 \cdot 0.01 \cdot 15}

30.0852 = \frac{\log ((\frac{100m}{2.94m}), e)}{2 \cdot 3.1416 \cdot 0.01cm/s \cdot 15m}

30.0852 = \frac{\log ((\frac{100}{2.94}), e)}{2 \cdot 3.1416 \cdot 0.01 \cdot 15}

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Aquifer Loss Coefficient Solution

Follow our step by step solution on how to calculate Aquifer Loss Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = \frac{\log ((\frac{100m}{2.94m}), e)}{2 \cdot π \cdot 0.01cm/s \cdot 15m}

Next Step Substitute values of Constants

∴

B = \frac{\log ((\frac{100m}{2.94m}), e)}{2 \cdot 3.1416 \cdot 0.01cm/s \cdot 15m}

Next Step Convert Units

∴

B = \frac{\log ((\frac{100m}{2.94m}), e)}{2 \cdot 3.1416 \cdot 0.0001m/s \cdot 15m}

Next Step Prepare to Evaluate

∴

B = \frac{\log ((\frac{100}{2.94}), e)}{2 \cdot 3.1416 \cdot 0.0001 \cdot 15}

Next Step Evaluate

∴

B = 30.0851992208024

LAST Step Rounding Answer

∴

B = 30.0852

Aquifer Loss Coefficient Formula Elements

Variables

Constants

Functions

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

Radius of Investigation

The Radius of Investigation refers to the maximum distance from a pumping well where the properties of the aquifer significantly influence the drawdown at the well.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Investigation

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

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

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other formulas in Aquifer Loss category

Go Aquifer Loss given Drawdown

BQ = s t - CQ n

Go Aquifer Loss given Aquifer Loss Coefficient

BQ = B \cdot Q

Go Drawdown given Well Loss

s t = BQ + CQ n

Go Radius of Well given Aquifer Loss Coefficient

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

How to Evaluate Aquifer Loss Coefficient?

Aquifer Loss Coefficient evaluator uses Aquifer Loss Coefficient = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness) to evaluate the Aquifer Loss Coefficient, The Aquifer Loss Coefficient formula is defined as the measure of the loss of energy or head that occurs as water flows through an aquifer, which is a critical component in the design and operation of groundwater wells and aquifer systems. Aquifer Loss Coefficient is denoted by B symbol.

How to evaluate Aquifer Loss Coefficient using this online evaluator? To use this online evaluator for Aquifer Loss Coefficient, enter Radius of Investigation (R), Radius of Well (r^'), Coefficient of Permeability (k) & Aquifer Thickness (b_w) and hit the calculate button.

FAQs on Aquifer Loss Coefficient

What is the formula to find Aquifer Loss Coefficient?

The formula of Aquifer Loss Coefficient is expressed as Aquifer Loss Coefficient = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness). Here is an example- 30.0852 = (log((100/2.94),e))/(2*pi*0.0001*15).

How to calculate Aquifer Loss Coefficient?

With Radius of Investigation (R), Radius of Well (r^'), Coefficient of Permeability (k) & Aquifer Thickness (b_w) we can find Aquifer Loss Coefficient using the formula - Aquifer Loss Coefficient = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

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Aquifer Loss Coefficient Formula

Aquifer Loss Coefficient Example

Aquifer Loss Coefficient Solution

Aquifer Loss Coefficient Formula Elements

Other formulas in Aquifer Loss category

How to Evaluate Aquifer Loss Coefficient?

FAQs on Aquifer Loss Coefficient

Variable Name