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Coefficient of Permeability given Aquifer Loss Coefficient Formula

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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. Check FAQs

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

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

Coefficient of Permeability given Aquifer Loss Coefficient Example

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

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

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

0.0106 = \frac{\log ((\frac{100}{2.94}), e)}{2 \cdot 3.1416 \cdot 28.25 \cdot 15}

0.0106cm/s = \frac{\log ((\frac{100m}{2.94m}), e)}{2 \cdot 3.1416 \cdot 28.25 \cdot 15m}

0.0106 = \frac{\log ((\frac{100}{2.94}), e)}{2 \cdot 3.1416 \cdot 28.25 \cdot 15}

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Coefficient of Permeability given Aquifer Loss Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k = \frac{\log ((\frac{100m}{2.94m}), e)}{2 \cdot π \cdot 28.25 \cdot 15m}

Next Step Substitute values of Constants

∴

k = \frac{\log ((\frac{100m}{2.94m}), e)}{2 \cdot 3.1416 \cdot 28.25 \cdot 15m}

Next Step Prepare to Evaluate

∴

k = \frac{\log ((\frac{100}{2.94}), e)}{2 \cdot 3.1416 \cdot 28.25 \cdot 15}

Next Step Evaluate

∴

k = 0.000106496280427619m/s

Next Step Convert to Output's Unit

∴

k = 0.0106496280427619cm/s

LAST Step Rounding Answer

∴

k = 0.0106cm/s

Coefficient of Permeability given Aquifer Loss Coefficient Formula Elements

Variables

Constants

Functions

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

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

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

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 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 Coefficient of Permeability given Aquifer Loss Coefficient?

Coefficient of Permeability given Aquifer Loss Coefficient evaluator uses Coefficient of Permeability = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness) to evaluate the Coefficient of Permeability, The Coefficient of Permeability given Aquifer Loss Coefficient formula is defined as a measure of how easily water can flow through an aquifer, which is a critical parameter in groundwater flow and contaminant transport studies, allowing for the estimation of aquifer properties and prediction of groundwater flow patterns. Coefficient of Permeability is denoted by k symbol.

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

FAQs on Coefficient of Permeability given Aquifer Loss Coefficient

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

The formula of Coefficient of Permeability given Aquifer Loss Coefficient is expressed as Coefficient of Permeability = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness). Here is an example- 1.064963 = (log((100/2.94),e))/(2*pi*28.25*15).

How to calculate Coefficient of Permeability given Aquifer Loss Coefficient?

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

Can the Coefficient of Permeability given Aquifer Loss Coefficient be negative?

Yes, the Coefficient of Permeability given Aquifer Loss Coefficient, measured in Speed can be negative.

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

Coefficient of Permeability given Aquifer Loss Coefficient is usually measured using the Centimeter per Second[cm/s] for Speed. Meter per Second[cm/s], Meter per Minute[cm/s], Meter per Hour[cm/s] are the few other units in which Coefficient of Permeability given Aquifer Loss Coefficient can be measured.

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Coefficient of Permeability given Aquifer Loss Coefficient Formula

Coefficient of Permeability given Aquifer Loss Coefficient Example

Coefficient of Permeability given Aquifer Loss Coefficient Solution

Coefficient of Permeability given Aquifer Loss Coefficient Formula Elements

Other formulas in Aquifer Loss category

How to Evaluate Coefficient of Permeability given Aquifer Loss Coefficient?

FAQs on Coefficient of Permeability given Aquifer Loss Coefficient

Variable Name