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Discharge in Confined Aquifer Formula

GoDischarge in Confined Aquifer with Base 10 given Coefficient of Transmissibility Formula

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Discharge in Confined Aquifer is the amount of water that is released from a confined aquifer. Check FAQs

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

Q_c - Discharge in Confined Aquifer?K_WH - Coefficient of Permeability in Well Hydraulics?b_w - Aquifer Thickness?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 Example

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Here is how the Discharge in Confined Aquifer equation looks like with Values.

Here is how the Discharge in Confined Aquifer equation looks like with Units.

Here is how the Discharge in Confined Aquifer equation looks like.

0.0487 = \frac{2 \cdot 3.1416 \cdot 10 \cdot 14.15 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), e)}

0.0487m³/s = \frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 14.15m \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}

0.0487 = \frac{2 \cdot 3.1416 \cdot 10 \cdot 14.15 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), e)}

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Discharge in Confined Aquifer Solution

Follow our step by step solution on how to calculate Discharge in Confined Aquifer?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q c = \frac{2 \cdot π \cdot 10cm/s \cdot 14.15m \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}

Next Step Substitute values of Constants

∴

Q c = \frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 14.15m \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}

Next Step Convert Units

∴

Q c = \frac{2 \cdot 3.1416 \cdot 0.1m/s \cdot 14.15m \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}

Next Step Prepare to Evaluate

∴

Q c = \frac{2 \cdot 3.1416 \cdot 0.1 \cdot 14.15 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), e)}

Next Step Evaluate

∴

Q c = 0.0486709968996737m³/s

LAST Step Rounding Answer

∴

Q c = 0.0487m³/s

Discharge in Confined Aquifer Formula Elements

Variables

Constants

Functions

Discharge in Confined Aquifer

Discharge in Confined Aquifer is the amount of water that is released from a confined aquifer.

Symbol: Q_c

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge in Confined Aquifer

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

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

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 to find Discharge in Confined Aquifer

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)}

Other formulas in Aquifer Discharge category

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 given Coefficient of Transmissibility

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

How to Evaluate Discharge in Confined Aquifer?

Discharge in Confined Aquifer evaluator uses Discharge in Confined Aquifer = (2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e)) to evaluate the Discharge in Confined Aquifer, The Discharge in Confined Aquifer formula is defined as the value of discharge in the confined aquifer when we have prior information of other parameters used. Discharge in Confined Aquifer is denoted by Q_c symbol.

How to evaluate Discharge in Confined Aquifer using this online evaluator? To use this online evaluator for Discharge in Confined Aquifer, enter Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness (b_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

What is the formula to find Discharge in Confined Aquifer?

The formula of Discharge in Confined Aquifer is expressed as Discharge in Confined Aquifer = (2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e)). Here is an example- 0.048671 = (2*pi*0.1*14.15*(2.48-2.44))/(log((8.6/7.5),e)).

How to calculate Discharge in Confined Aquifer?

With Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness (b_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 using the formula - Discharge in Confined Aquifer = (2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*(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).

What are the other ways to Calculate Discharge in Confined Aquifer?

Here are the different ways to Calculate Discharge in Confined Aquifer-

Discharge in Confined Aquifer=(2.72*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10))

Can the Discharge in Confined Aquifer be negative?

No, the Discharge in Confined Aquifer, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge in Confined Aquifer?

Discharge in Confined Aquifer 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 can be measured.

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Discharge in Confined Aquifer Formula

​GoDischarge in Confined Aquifer with Base 10 given Coefficient of Transmissibility Formula

Discharge in Confined Aquifer Example

Discharge in Confined Aquifer Solution

Discharge in Confined Aquifer Formula Elements

Other Formulas to find Discharge in Confined Aquifer

Other formulas in Aquifer Discharge category

How to Evaluate Discharge in Confined Aquifer?

FAQs on Discharge in Confined Aquifer

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GoDischarge in Confined Aquifer with Base 10 given Coefficient of Transmissibility Formula