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Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Formula

GoAquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Formula

GoAquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer with Base 10 Formula

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Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping. Check FAQs

H i = h w + (\frac{Q \cdot \log ((\frac{R w}{r}), e)}{2 \cdot π \cdot T w})

H_i - Initial Aquifer Thickness?h_w - Depth of Water?Q - Discharge?R_w - Radius of Influence?r - Radius of Well?T_w - Coefficient of Transmissibility in Enviro. Eng.?π - Archimedes' constant?

Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Example

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Here is how the Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility equation looks like with Values.

Here is how the Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility equation looks like with Units.

Here is how the Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility equation looks like.

2.4837 = 2.44 + (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 26.9})

2.4837m = 2.44m + (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot 3.1416 \cdot 26.9m²/s})

2.4837 = 2.44 + (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 26.9})

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Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Solution

Follow our step by step solution on how to calculate Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility?

FIRST Step Consider the formula

H i = h w + (\frac{Q \cdot \log ((\frac{R w}{r}), e)}{2 \cdot π \cdot T w})

Next Step Substitute values of Variables

∴

H i = 2.44m + (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot π \cdot 26.9m²/s})

Next Step Substitute values of Constants

∴

H i = 2.44m + (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot 3.1416 \cdot 26.9m²/s})

Next Step Prepare to Evaluate

∴

H i = 2.44 + (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 26.9})

Next Step Evaluate

∴

H i = 2.483663172051m

LAST Step Rounding Answer

∴

H i = 2.4837m

Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Formula Elements

Variables

Constants

Functions

Initial Aquifer Thickness

Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Aquifer Thickness

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 Transmissibility in Enviro. Eng.

Coefficient of Transmissibility in Enviro. Eng. is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.

Symbol: T_w

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Transmissibility in Enviro. Eng.

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 Initial Aquifer Thickness

Go Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer

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

Go Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer with Base 10

H i = h w + (\frac{Q \cdot \log ((\frac{R w}{r}), 10)}{2.72 \cdot K w \cdot b w})

Go Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility with Base 10

H i = h w + (\frac{Q \cdot \log ((\frac{R w}{r}), 10)}{2.72 \cdot T w})

Other formulas in Aquifer Thickness category

Go Thickness of Confined Aquifer given Discharge in Confined Aquifer

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

Go Thickness of Confined Aquifer given Discharge in Confined Aquifer with Base 10

t aq = \frac{Q c}{\frac{2.72 \cdot K WH \cdot (b w - h w)}{\log ((\frac{R w}{r}), 10)}}

Go Aquifer Thickness given Confined Aquifer Discharge

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

Go Aquifer Thickness given Confined Aquifer Discharge with Base 10

t aq = \frac{Q}{\frac{2.72 \cdot K w \cdot s t}{\log ((\frac{R w}{r}), 10)}}

How to Evaluate Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility?

Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility evaluator uses Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility in Enviro. Eng.)) to evaluate the Initial Aquifer Thickness, The Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility formula is defined as the value of aquifer thickness when we have prior information of coefficient of transmissibility. Initial Aquifer Thickness is denoted by H_i symbol.

How to evaluate Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility using this online evaluator? To use this online evaluator for Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility, enter Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Transmissibility in Enviro. Eng. (T_w) and hit the calculate button.

FAQs on Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility

What is the formula to find Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility?

The formula of Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility is expressed as Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility in Enviro. Eng.)). Here is an example- 2.483663 = 2.44+((1.01*log((8.6/7.5),e))/(2*pi*26.9)).

How to calculate Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility?

With Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Transmissibility in Enviro. Eng. (T_w) we can find Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility using the formula - Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility in Enviro. Eng.)). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Initial Aquifer Thickness?

Here are the different ways to Calculate Initial Aquifer Thickness-

Initial Aquifer Thickness=Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness))
Initial Aquifer Thickness=Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability*Aquifer Thickness))
Initial Aquifer Thickness=Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Transmissibility in Enviro. Eng.))

Can the Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility be negative?

No, the Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility, measured in Length cannot be negative.

Which unit is used to measure Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility?

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

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Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Formula

​GoAquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Formula

​GoAquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer with Base 10 Formula

Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Example

Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Solution

Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Formula Elements

Other Formulas to find Initial Aquifer Thickness

Other formulas in Aquifer Thickness category

How to Evaluate Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility?

FAQs on Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility

Variable Name

GoAquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Formula

GoAquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer with Base 10 Formula