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Thickness of Aquifer given Discharge in Unconfined Aquifer Formula

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

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

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

Thickness of Aquifer given Discharge in Unconfined Aquifer Example

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

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

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

5.4263 = \sqrt{{2.44}^{2} + \frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{3.1416 \cdot 10}}

5.4263m = \sqrt{{2.44m}^{2} + \frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{3.1416 \cdot 10cm/s}}

5.4263 = \sqrt{{2.44}^{2} + \frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{3.1416 \cdot 10}}

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Thickness of Aquifer given Discharge in Unconfined Aquifer Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = \sqrt{{2.44m}^{2} + \frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{π \cdot 10cm/s}}

Next Step Substitute values of Constants

∴

H = \sqrt{{2.44m}^{2} + \frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{3.1416 \cdot 10cm/s}}

Next Step Convert Units

∴

H = \sqrt{{2.44m}^{2} + \frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{3.1416 \cdot 0.1m/s}}

Next Step Prepare to Evaluate

∴

H = \sqrt{{2.44}^{2} + \frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{3.1416 \cdot 0.1}}

Next Step Evaluate

∴

H = 5.4262681986277m

LAST Step Rounding Answer

∴

H = 5.4263m

Thickness of Aquifer given Discharge in Unconfined Aquifer Formula Elements

Variables

Constants

Functions

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

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other formulas in Aquifer Thickness category

Go Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10

b = \sqrt{{h w}^{2} + \frac{Q \cdot \log ((\frac{R w}{r}), 10)}{1.36 \cdot K s}}

Go Thickness of Aquifer given Drawdown Value measured at Well

b = s t + h w

Go Cross-section Area of Soil Mass given Flow Velocity

A xsec = (\frac{V aq}{V f})

Go Length of Strainer given Discharge

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

How to Evaluate Thickness of Aquifer given Discharge in Unconfined Aquifer?

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

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

FAQs on Thickness of Aquifer given Discharge in Unconfined Aquifer

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

The formula of Thickness of Aquifer given Discharge in Unconfined Aquifer is expressed as Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of Well),e))/(pi*Coefficient of Permeability in Well Hydraulics)). Here is an example- 5.426268 = sqrt(2.44^2+(1.01*log((8.6/7.5),e))/(pi*0.1)).

How to calculate Thickness of Aquifer given Discharge in Unconfined Aquifer?

With Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Permeability in Well Hydraulics (K_WH) we can find Thickness of Aquifer given Discharge in Unconfined Aquifer using the formula - Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of Well),e))/(pi*Coefficient of Permeability in Well Hydraulics)). This formula also uses Archimedes' constant and , Square Root (sqrt), Logarithmic Inverse (log) function(s).

Can the Thickness of Aquifer given Discharge in Unconfined Aquifer be negative?

No, the Thickness of Aquifer given Discharge in Unconfined Aquifer, measured in Length cannot be negative.

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

Thickness of Aquifer given Discharge in Unconfined Aquifer is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Thickness of Aquifer given Discharge in Unconfined Aquifer can be measured.

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Thickness of Aquifer given Discharge in Unconfined Aquifer Formula

Thickness of Aquifer given Discharge in Unconfined Aquifer Example

Thickness of Aquifer given Discharge in Unconfined Aquifer Solution

Thickness of Aquifer given Discharge in Unconfined Aquifer Formula Elements

Other formulas in Aquifer Thickness category

How to Evaluate Thickness of Aquifer given Discharge in Unconfined Aquifer?

FAQs on Thickness of Aquifer given Discharge in Unconfined Aquifer

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