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Discharge in Confined Aquifer given Coefficient of Transmissibility Formula

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Discharge given Coefficient of Transmissibility is the volume of water flowing through a confined aquifer per unit time, under the influence of a hydraulic gradient. Check FAQs

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

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

Discharge in Confined Aquifer given Coefficient of Transmissibility Example

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

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

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

0.9253 = \frac{2 \cdot 3.1416 \cdot 26.9 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), e)}

0.9253m³/s = \frac{2 \cdot 3.1416 \cdot 26.9m²/s \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}

0.9253 = \frac{2 \cdot 3.1416 \cdot 26.9 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), e)}

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Discharge in Confined Aquifer given Coefficient of Transmissibility Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q ct = \frac{2 \cdot π \cdot 26.9m²/s \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}

Next Step Substitute values of Constants

∴

Q ct = \frac{2 \cdot 3.1416 \cdot 26.9m²/s \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}

Next Step Prepare to Evaluate

∴

Q ct = \frac{2 \cdot 3.1416 \cdot 26.9 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), e)}

Next Step Evaluate

∴

Q ct = 0.9252648880574m³/s

LAST Step Rounding Answer

∴

Q ct = 0.9253m³/s

Discharge in Confined Aquifer given Coefficient of Transmissibility Formula Elements

Variables

Constants

Functions

Discharge given Coefficient of Transmissibility

Discharge given Coefficient of Transmissibility is the volume of water flowing through a confined aquifer per unit time, under the influence of a hydraulic gradient.

Symbol: Q_ct

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge given Coefficient of Transmissibility

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.

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

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 in Aquifer Discharge category

Go Discharge in Confined Aquifer

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

Go Discharge in Confined Aquifer with Base 10

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

Go Discharge in Confined Aquifer with Base 10 given Coefficient of Transmissibility

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

Go Confined Aquifer Discharge given Drawdown at Well

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

How to Evaluate Discharge in Confined Aquifer given Coefficient of Transmissibility?

Discharge in Confined Aquifer given Coefficient of Transmissibility evaluator uses Discharge given Coefficient of Transmissibility = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e)) to evaluate the Discharge given Coefficient of Transmissibility, The Discharge in Confined Aquifer given Coefficient of Transmissibility formula is defined as the value of the volume of water flowing through a confined aquifer per unit time, under the influence of a hydraulic gradient. Discharge given Coefficient of Transmissibility is denoted by Q_ct symbol.

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

FAQs on Discharge in Confined Aquifer given Coefficient of Transmissibility

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

The formula of Discharge in Confined Aquifer given Coefficient of Transmissibility is expressed as Discharge given Coefficient of Transmissibility = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e)). Here is an example- 0.925265 = (2*pi*26.9*(2.48-2.44))/(log((8.6/7.5),e)).

How to calculate Discharge in Confined Aquifer given Coefficient of Transmissibility?

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

Can the Discharge in Confined Aquifer given Coefficient of Transmissibility be negative?

No, the Discharge in Confined Aquifer given Coefficient of Transmissibility, measured in Volumetric Flow Rate cannot be negative.

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

Discharge in Confined Aquifer given Coefficient of Transmissibility is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge in Confined Aquifer given Coefficient of Transmissibility can be measured.

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Discharge in Confined Aquifer given Coefficient of Transmissibility Formula

Discharge in Confined Aquifer given Coefficient of Transmissibility Example

Discharge in Confined Aquifer given Coefficient of Transmissibility Solution

Discharge in Confined Aquifer given Coefficient of Transmissibility Formula Elements

Other formulas in Aquifer Discharge category

How to Evaluate Discharge in Confined Aquifer given Coefficient of Transmissibility?

FAQs on Discharge in Confined Aquifer given Coefficient of Transmissibility

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