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Coefficient of Permeability given Confined Aquifer Discharge Formula

GoCoefficient of Permeability given Confined Aquifer Discharge with Base 10 Formula

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Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil. Check FAQs

K WH = \frac{Q}{\frac{2 \cdot π \cdot b w \cdot s t}{\log ((\frac{R w}{r}), e)}}

K_WH - Coefficient of Permeability in Well Hydraulics?Q - Discharge?b_w - Aquifer Thickness?s_t - Total Drawdown?R_w - Radius of Influence?r - Radius of Well?π - Archimedes' constant?

Coefficient of Permeability given Confined Aquifer Discharge Example

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

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

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

10.0008 = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 14.15 \cdot 0.83}{\log ((\frac{8.6}{7.5}), e)}}

10.0008cm/s = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 14.15m \cdot 0.83m}{\log ((\frac{8.6m}{7.5m}), e)}}

10.0008 = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 14.15 \cdot 0.83}{\log ((\frac{8.6}{7.5}), e)}}

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Coefficient of Permeability given Confined Aquifer Discharge Solution

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

FIRST Step Consider the formula

K WH = \frac{Q}{\frac{2 \cdot π \cdot b w \cdot s t}{\log ((\frac{R w}{r}), e)}}

Next Step Substitute values of Variables

∴

K WH = \frac{1.01m³/s}{\frac{2 \cdot π \cdot 14.15m \cdot 0.83m}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Substitute values of Constants

∴

K WH = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 14.15m \cdot 0.83m}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Prepare to Evaluate

∴

K WH = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 14.15 \cdot 0.83}{\log ((\frac{8.6}{7.5}), e)}}

Next Step Evaluate

∴

K WH = 0.100007605957845m/s

Next Step Convert to Output's Unit

∴

K WH = 10.0007605957845cm/s

LAST Step Rounding Answer

∴

K WH = 10.0008cm/s

Coefficient of Permeability given Confined Aquifer Discharge Formula Elements

Variables

Constants

Functions

Coefficient of Permeability in Well Hydraulics

Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.

Symbol: K_WH

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability in Well Hydraulics

Discharge

Discharge is the flow rate of water that is extracted from or injected into a well.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

Aquifer Thickness

Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is 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 can be positive or negative.

Formulas to find Aquifer Thickness

Total Drawdown

The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.

Symbol: s_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Drawdown

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

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

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 to find Coefficient of Permeability in Well Hydraulics

Go Coefficient of Permeability given Confined Aquifer Discharge with Base 10

K WH = \frac{Q}{\frac{2.72 \cdot b w \cdot S tw}{\log ((\frac{R w}{r}), 10)}}

Other formulas in Coefficient of Permeability category

Go Coefficient of Permeability given Depth of Water in Two Wells

K w = \frac{Q}{\frac{2.72 \cdot b p \cdot (h 2 - h 1)}{\log ((\frac{r 2}{r 1}), 10)}}

How to Evaluate Coefficient of Permeability given Confined Aquifer Discharge?

Coefficient of Permeability given Confined Aquifer Discharge evaluator uses Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))) to evaluate the Coefficient of Permeability in Well Hydraulics, The Coefficient of Permeability given Confined Aquifer Discharge formula is defined as the value of coefficient of permeability when we have prior information of confined aquifer discharge. Coefficient of Permeability in Well Hydraulics is denoted by K_WH symbol.

How to evaluate Coefficient of Permeability given Confined Aquifer Discharge using this online evaluator? To use this online evaluator for Coefficient of Permeability given Confined Aquifer Discharge, enter Discharge (Q), Aquifer Thickness (b_w), Total Drawdown (s_t), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button.

FAQs on Coefficient of Permeability given Confined Aquifer Discharge

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

The formula of Coefficient of Permeability given Confined Aquifer Discharge is expressed as Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))). Here is an example- 943.4051 = 1.01/((2*pi*14.15*0.83)/(log((8.6/7.5),e))).

How to calculate Coefficient of Permeability given Confined Aquifer Discharge?

With Discharge (Q), Aquifer Thickness (b_w), Total Drawdown (s_t), Radius of Influence (R_w) & Radius of Well (r) we can find Coefficient of Permeability given Confined Aquifer Discharge using the formula - Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Coefficient of Permeability in Well Hydraulics?

Here are the different ways to Calculate Coefficient of Permeability in Well Hydraulics-

Coefficient of Permeability in Well Hydraulics=Discharge/((2.72*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),10)))

Can the Coefficient of Permeability given Confined Aquifer Discharge be negative?

No, the Coefficient of Permeability given Confined Aquifer Discharge, measured in Speed cannot be negative.

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

Coefficient of Permeability given Confined Aquifer Discharge 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 Confined Aquifer Discharge can be measured.

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Coefficient of Permeability given Confined Aquifer Discharge Formula

​GoCoefficient of Permeability given Confined Aquifer Discharge with Base 10 Formula

Coefficient of Permeability given Confined Aquifer Discharge Example

Coefficient of Permeability given Confined Aquifer Discharge Solution

Coefficient of Permeability given Confined Aquifer Discharge Formula Elements

Other Formulas to find Coefficient of Permeability in Well Hydraulics

Other formulas in Coefficient of Permeability category

How to Evaluate Coefficient of Permeability given Confined Aquifer Discharge?

FAQs on Coefficient of Permeability given Confined Aquifer Discharge

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GoCoefficient of Permeability given Confined Aquifer Discharge with Base 10 Formula