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Discharge in Confined Aquifer with Base 10 Formula

GoConfined Aquifer Discharge given Drawdown at Well Formula

GoConfined Aquifer Discharge with Base 10 given Drawdown at Well Formula

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Discharge is the flow rate of water that is extracted from or injected into a well. Check FAQs

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

Q - Discharge?K_w - Coefficient of Permeability?b_w - Aquifer Thickness?H_i - Initial Aquifer Thickness?h_w - Depth of Water?R_w - Radius of Influence?r - Radius of Well?

Discharge in Confined Aquifer with Base 10 Example

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Here is how the Discharge in Confined Aquifer with Base 10 equation looks like with Values.

Here is how the Discharge in Confined Aquifer with Base 10 equation looks like with Units.

Here is how the Discharge in Confined Aquifer with Base 10 equation looks like.

1.0294 = \frac{2.72 \cdot 1125 \cdot 14.15 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), 10)}

1.0294m³/s = \frac{2.72 \cdot 1125cm/s \cdot 14.15m \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), 10)}

1.0294 = \frac{2.72 \cdot 1125 \cdot 14.15 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), 10)}

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Discharge in Confined Aquifer with Base 10 Solution

Follow our step by step solution on how to calculate Discharge in Confined Aquifer with Base 10?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = \frac{2.72 \cdot 1125cm/s \cdot 14.15m \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), 10)}

Next Step Convert Units

∴

Q = \frac{2.72 \cdot 11.25m/s \cdot 14.15m \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), 10)}

Next Step Prepare to Evaluate

∴

Q = \frac{2.72 \cdot 11.25 \cdot 14.15 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), 10)}

Next Step Evaluate

∴

Q = 1.02942831871921m³/s

LAST Step Rounding Answer

∴

Q = 1.0294m³/s

Discharge in Confined Aquifer with Base 10 Formula Elements

Variables

Functions

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

Coefficient of Permeability

Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.

Symbol: K_w

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability

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

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Discharge

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)}

Go Confined Aquifer Discharge with Base 10 given Drawdown at Well

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

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 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 with Base 10?

Discharge in Confined Aquifer with Base 10 evaluator uses Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10)) to evaluate the Discharge, The Discharge in Confined Aquifer with Base 10 is defined as the value of discharge in confined aquifer when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to evaluate Discharge in Confined Aquifer with Base 10 using this online evaluator? To use this online evaluator for Discharge in Confined Aquifer with Base 10, enter Coefficient of Permeability (K_w), 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 with Base 10

What is the formula to find Discharge in Confined Aquifer with Base 10?

The formula of Discharge in Confined Aquifer with Base 10 is expressed as Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10)). Here is an example- 0.915047 = (2.72*11.25*14.15*(2.48-2.44))/(log((8.6/7.5),10)).

How to calculate Discharge in Confined Aquifer with Base 10?

With Coefficient of Permeability (K_w), 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 with Base 10 using the formula - Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10)). This formula also uses Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Discharge?

Here are the different ways to Calculate Discharge-

Discharge=(2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),e))
Discharge=(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),10))
Discharge=(2*pi*Coefficient of Transmissibility*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))

Can the Discharge in Confined Aquifer with Base 10 be negative?

Yes, the Discharge in Confined Aquifer with Base 10, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge in Confined Aquifer with Base 10?

Discharge in Confined Aquifer with Base 10 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 with Base 10 can be measured.

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Discharge in Confined Aquifer with Base 10 Formula

​GoConfined Aquifer Discharge given Drawdown at Well Formula

​GoConfined Aquifer Discharge with Base 10 given Drawdown at Well Formula

Discharge in Confined Aquifer with Base 10 Example

Discharge in Confined Aquifer with Base 10 Solution

Discharge in Confined Aquifer with Base 10 Formula Elements

Other Formulas to find Discharge

Other formulas in Aquifer Discharge category

How to Evaluate Discharge in Confined Aquifer with Base 10?

FAQs on Discharge in Confined Aquifer with Base 10

Variable Name

GoConfined Aquifer Discharge given Drawdown at Well Formula

GoConfined Aquifer Discharge with Base 10 given Drawdown at Well Formula