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Coefficient of Permeability given Discharge in Unconfined Aquifer Formula

GoCoefficient of Permeability given Discharge in Unconfined Aquifer with Base 10 Formula

GoCoefficient of Permeability given Discharge of Two Wells under Consideration 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{π \cdot (H^{2} - {h w}^{2})}{\log ((\frac{R w}{r}), e)}}

K_WH - Coefficient of Permeability in Well Hydraulics?Q - Discharge?H - Thickness of Unconfined Aquifer?h_w - Depth of Water?R_w - Radius of Influence?r - Radius of Well?π - Archimedes' constant?

Coefficient of Permeability given Discharge in Unconfined Aquifer Example

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

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

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

12.3335 = \frac{1.01}{\frac{3.1416 \cdot (5^{2} - {2.44}^{2})}{\log ((\frac{8.6}{7.5}), e)}}

12.3335cm/s = \frac{1.01m³/s}{\frac{3.1416 \cdot ({5m}^{2} - {2.44m}^{2})}{\log ((\frac{8.6m}{7.5m}), e)}}

12.3335 = \frac{1.01}{\frac{3.1416 \cdot (5^{2} - {2.44}^{2})}{\log ((\frac{8.6}{7.5}), e)}}

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Coefficient of Permeability given Discharge in Unconfined Aquifer Solution

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

FIRST Step Consider the formula

K WH = \frac{Q}{\frac{π \cdot (H^{2} - {h w}^{2})}{\log ((\frac{R w}{r}), e)}}

Next Step Substitute values of Variables

∴

K WH = \frac{1.01m³/s}{\frac{π \cdot ({5m}^{2} - {2.44m}^{2})}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Substitute values of Constants

∴

K WH = \frac{1.01m³/s}{\frac{3.1416 \cdot ({5m}^{2} - {2.44m}^{2})}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Prepare to Evaluate

∴

K WH = \frac{1.01}{\frac{3.1416 \cdot (5^{2} - {2.44}^{2})}{\log ((\frac{8.6}{7.5}), e)}}

Next Step Evaluate

∴

K WH = 0.123334522867515m/s

Next Step Convert to Output's Unit

∴

K WH = 12.3334522867515cm/s

LAST Step Rounding Answer

∴

K WH = 12.3335cm/s

Coefficient of Permeability given Discharge in Unconfined Aquifer 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

Thickness of Unconfined Aquifer

Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Unconfined Aquifer

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

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 Discharge in Unconfined Aquifer with Base 10

K WH = \frac{Q}{\frac{1.36 \cdot ({b w}^{2} - {h well}^{2})}{\log ((\frac{R w}{r}), 10)}}

Go Coefficient of Permeability given Discharge of Two Wells under Consideration

K WH = \frac{Q}{\frac{π \cdot ({h 2}^{2} - {h 1}^{2})}{\log ((\frac{r 2}{r1''}), e)}}

Go Coefficient of Permeability given Discharge from Two Wells with Base 10

K WH = \frac{Q}{\frac{1.36 \cdot ({h 2}^{2} - {h 1}^{2})}{\log ((\frac{r 2}{r1'}), 10)}}

Go Coefficient of Permeability given Discharge and Length of Strainer

K WH = \frac{Q}{\frac{2.72 \cdot S tw \cdot (l st + (\frac{S tw}{2}))}{\log ((\frac{R w}{r}), 10)}}

Other formulas in Coefficient of Permeability category

Go Coefficient of Permeability given Rate of Flow

k' = (\frac{Q}{i e \cdot A xsec})

Go Coefficient of Permeability given Flow Velocity

K'' = (\frac{V fwh}{i e})

Go Coefficient of Permeability given Radius of Influence

K soil = {(\frac{R w}{3000 \cdot s t})}^{2}

How to Evaluate Coefficient of Permeability given Discharge in Unconfined Aquifer?

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

How to evaluate Coefficient of Permeability given Discharge in Unconfined Aquifer using this online evaluator? To use this online evaluator for Coefficient of Permeability given Discharge in Unconfined Aquifer, enter Discharge (Q), Thickness of Unconfined Aquifer (H), Depth of Water (h_w), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button.

FAQs on Coefficient of Permeability given Discharge in Unconfined Aquifer

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

The formula of Coefficient of Permeability given Discharge in Unconfined Aquifer is expressed as Coefficient of Permeability in Well Hydraulics = Discharge/((pi*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e))). Here is an example- 1233.345 = 1.01/((pi*(5^2-2.44^2))/(log((8.6/7.5),e))).

How to calculate Coefficient of Permeability given Discharge in Unconfined Aquifer?

With Discharge (Q), Thickness of Unconfined Aquifer (H), Depth of Water (h_w), Radius of Influence (R_w) & Radius of Well (r) we can find Coefficient of Permeability given Discharge in Unconfined Aquifer using the formula - Coefficient of Permeability in Well Hydraulics = Discharge/((pi*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(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/((1.36*(Aquifer Thickness^2-Depth of Water in Well^2))/(log((Radius of Influence/Radius of Well),10)))
Coefficient of Permeability in Well Hydraulics=Discharge/((pi*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Observation Well 1 Radial Distance),e)))
Coefficient of Permeability in Well Hydraulics=Discharge/((1.36*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Well 1),10)))

Can the Coefficient of Permeability given Discharge in Unconfined Aquifer be negative?

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

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

Coefficient of Permeability given Discharge in Unconfined Aquifer 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 Discharge in Unconfined Aquifer can be measured.

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Coefficient of Permeability given Discharge in Unconfined Aquifer Formula

​GoCoefficient of Permeability given Discharge in Unconfined Aquifer with Base 10 Formula

​GoCoefficient of Permeability given Discharge of Two Wells under Consideration Formula

Coefficient of Permeability given Discharge in Unconfined Aquifer Example

Coefficient of Permeability given Discharge in Unconfined Aquifer Solution

Coefficient of Permeability given Discharge in Unconfined Aquifer 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 Discharge in Unconfined Aquifer?

FAQs on Coefficient of Permeability given Discharge in Unconfined Aquifer

Variable Name

GoCoefficient of Permeability given Discharge in Unconfined Aquifer with Base 10 Formula

GoCoefficient of Permeability given Discharge of Two Wells under Consideration Formula