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Confined Aquifer Discharge with Base 10 given Drawdown at Well Formula

GoDischarge in Confined Aquifer with Base 10 Formula

GoConfined Aquifer Discharge 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 WH \cdot b w \cdot S tw}{\log ((\frac{R w}{r}), 10)}

Q - Discharge?K_WH - Coefficient of Permeability in Well Hydraulics?b_w - Aquifer Thickness?S_tw - Total Drawdown in Well?R_w - Radius of Influence?r - Radius of Well?

Confined Aquifer Discharge with Base 10 given Drawdown at Well Example

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Here is how the Confined Aquifer Discharge with Base 10 given Drawdown at Well equation looks like with Values.

Here is how the Confined Aquifer Discharge with Base 10 given Drawdown at Well equation looks like with Units.

Here is how the Confined Aquifer Discharge with Base 10 given Drawdown at Well equation looks like.

1.1278 = \frac{2.72 \cdot 10 \cdot 14.15 \cdot 4.93}{\log ((\frac{8.6}{7.5}), 10)}

1.1278m³/s = \frac{2.72 \cdot 10cm/s \cdot 14.15m \cdot 4.93m}{\log ((\frac{8.6m}{7.5m}), 10)}

1.1278 = \frac{2.72 \cdot 10 \cdot 14.15 \cdot 4.93}{\log ((\frac{8.6}{7.5}), 10)}

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Confined Aquifer Discharge with Base 10 given Drawdown at Well Solution

Follow our step by step solution on how to calculate Confined Aquifer Discharge with Base 10 given Drawdown at Well?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = \frac{2.72 \cdot 10cm/s \cdot 14.15m \cdot 4.93m}{\log ((\frac{8.6m}{7.5m}), 10)}

Next Step Convert Units

∴

Q = \frac{2.72 \cdot 0.1m/s \cdot 14.15m \cdot 4.93m}{\log ((\frac{8.6m}{7.5m}), 10)}

Next Step Prepare to Evaluate

∴

Q = \frac{2.72 \cdot 0.1 \cdot 14.15 \cdot 4.93}{\log ((\frac{8.6}{7.5}), 10)}

Next Step Evaluate

∴

Q = 1.12779591361904m³/s

LAST Step Rounding Answer

∴

Q = 1.1278m³/s

Confined Aquifer Discharge with Base 10 given Drawdown at Well 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 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

Total Drawdown in Well

Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.

Symbol: S_tw

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Drawdown in Well

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 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 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 given Coefficient of Transmissibility

Q = \frac{2 \cdot π \cdot T envi \cdot s t}{\log ((\frac{R w}{r}), e)}

Go Confined Aquifer Discharge with Base 10 given Coefficient of Transmissibility

Q = \frac{2.72 \cdot T envi \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)}

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 Depth of Water in Two Wells

Qcaq = \frac{2.72 \cdot K w \cdot b p \cdot (h 2 - h 1)}{\log ((\frac{r 2}{r 1}), 10)}

How to Evaluate Confined Aquifer Discharge with Base 10 given Drawdown at Well?

Confined Aquifer Discharge with Base 10 given Drawdown at Well evaluator uses Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),10)) to evaluate the Discharge, The Confined Aquifer Discharge with Base 10 given Drawdown at Well formula is defined as the value of confined aquifer discharge when we have prior information of drawdown at well. Discharge is denoted by Q symbol.

How to evaluate Confined Aquifer Discharge with Base 10 given Drawdown at Well using this online evaluator? To use this online evaluator for Confined Aquifer Discharge with Base 10 given Drawdown at Well, enter Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness (b_w), Total Drawdown in Well (S_tw), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button.

FAQs on Confined Aquifer Discharge with Base 10 given Drawdown at Well

What is the formula to find Confined Aquifer Discharge with Base 10 given Drawdown at Well?

The formula of Confined Aquifer Discharge with Base 10 given Drawdown at Well is expressed as Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),10)). Here is an example- 1.195543 = (2.72*0.1*14.15*4.93)/(log((8.6/7.5),10)).

How to calculate Confined Aquifer Discharge with Base 10 given Drawdown at Well?

With Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness (b_w), Total Drawdown in Well (S_tw), Radius of Influence (R_w) & Radius of Well (r) we can find Confined Aquifer Discharge with Base 10 given Drawdown at Well using the formula - Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*Total Drawdown in Well)/(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=(2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10))
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*pi*Coefficient of Transmissibility*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))

Can the Confined Aquifer Discharge with Base 10 given Drawdown at Well be negative?

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

Which unit is used to measure Confined Aquifer Discharge with Base 10 given Drawdown at Well?

Confined Aquifer Discharge with Base 10 given Drawdown at Well 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 Confined Aquifer Discharge with Base 10 given Drawdown at Well can be measured.

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Confined Aquifer Discharge with Base 10 given Drawdown at Well Formula

​GoDischarge in Confined Aquifer with Base 10 Formula

​GoConfined Aquifer Discharge given Drawdown at Well Formula

Confined Aquifer Discharge with Base 10 given Drawdown at Well Example

Confined Aquifer Discharge with Base 10 given Drawdown at Well Solution

Confined Aquifer Discharge with Base 10 given Drawdown at Well Formula Elements

Other Formulas to find Discharge

Other formulas in Aquifer Discharge category

How to Evaluate Confined Aquifer Discharge with Base 10 given Drawdown at Well?

FAQs on Confined Aquifer Discharge with Base 10 given Drawdown at Well

Variable Name

GoDischarge in Confined Aquifer with Base 10 Formula

GoConfined Aquifer Discharge given Drawdown at Well Formula