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Depth of Water in Well given Discharge in Confined Aquifer Formula

GoDepth of Water in Well given Discharge in Confined Aquifer with Base 10 Formula

GoDepth of Water in Well given Coefficient of Transmissibility with Base 10 Formula

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Depth of Water in Well is measured above the impermeable layer. Check FAQs

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

h_well - Depth of Water in Well?b_w - Aquifer Thickness?Q - Discharge?R_w - Radius of Influence?r - Radius of Well?K_WH - Coefficient of Permeability in Well Hydraulics?b_p - Aquifer Thickness During Pumping?π - Archimedes' constant?

Depth of Water in Well given Discharge in Confined Aquifer Example

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Here is how the Depth of Water in Well given Discharge in Confined Aquifer equation looks like with Values.

Here is how the Depth of Water in Well given Discharge in Confined Aquifer equation looks like with Units.

Here is how the Depth of Water in Well given Discharge in Confined Aquifer equation looks like.

9.1731 = 14.15 - (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 10 \cdot 2.36})

9.1731m = 14.15m - (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m})

9.1731 = 14.15 - (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 10 \cdot 2.36})

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Depth of Water in Well given Discharge in Confined Aquifer Solution

Follow our step by step solution on how to calculate Depth of Water in Well given Discharge in Confined Aquifer?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h well = 14.15m - (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot π \cdot 10cm/s \cdot 2.36m})

Next Step Substitute values of Constants

∴

h well = 14.15m - (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m})

Next Step Convert Units

∴

h well = 14.15m - (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot 3.1416 \cdot 0.1m/s \cdot 2.36m})

Next Step Prepare to Evaluate

∴

h well = 14.15 - (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 0.1 \cdot 2.36})

Next Step Evaluate

∴

h well = 9.17313843994951m

LAST Step Rounding Answer

∴

h well = 9.1731m

Depth of Water in Well given Discharge in Confined Aquifer Formula Elements

Variables

Constants

Functions

Depth of Water in Well

Depth of Water in Well is measured above the impermeable layer.

Symbol: h_well

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Water in Well

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

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 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 During Pumping

Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.

Symbol: b_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Aquifer Thickness During Pumping

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 Depth of Water in Well

Go Depth of Water in Well given Discharge in Confined Aquifer with Base 10

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

Go Depth of Water in Well given Coefficient of Transmissibility with Base 10

h well = b w - (\frac{Q \cdot \log ((\frac{R w}{r}), 10)}{2.72 \cdot T envi})

Other formulas in Depth of Water in Well category

Go Depth of Water in Well given Coefficient of Transmissibility

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

Go Depth of Water in 1st Well given Confined Aquifer Discharge

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

How to Evaluate Depth of Water in Well given Discharge in Confined Aquifer?

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

How to evaluate Depth of Water in Well given Discharge in Confined Aquifer using this online evaluator? To use this online evaluator for Depth of Water in Well given Discharge in Confined Aquifer, enter Aquifer Thickness (b_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH) & Aquifer Thickness During Pumping (b_p) and hit the calculate button.

FAQs on Depth of Water in Well given Discharge in Confined Aquifer

What is the formula to find Depth of Water in Well given Discharge in Confined Aquifer?

The formula of Depth of Water in Well given Discharge in Confined Aquifer is expressed as Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)). Here is an example- 10.02314 = 14.15-((1.01*log((8.6/7.5),e))/(2*pi*0.1*2.36)).

How to calculate Depth of Water in Well given Discharge in Confined Aquifer?

With Aquifer Thickness (b_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH) & Aquifer Thickness During Pumping (b_p) we can find Depth of Water in Well given Discharge in Confined Aquifer using the formula - Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)). This formula also uses Archimedes' constant and Logarithmic Inverse Function function(s).

What are the other ways to Calculate Depth of Water in Well?

Here are the different ways to Calculate Depth of Water in Well-

Depth of Water in Well=Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability*Aquifer Thickness During Pumping))
Depth of Water in Well=Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Transmissibility))

Can the Depth of Water in Well given Discharge in Confined Aquifer be negative?

Yes, the Depth of Water in Well given Discharge in Confined Aquifer, measured in Length can be negative.

Which unit is used to measure Depth of Water in Well given Discharge in Confined Aquifer?

Depth of Water in Well given Discharge in Confined Aquifer is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Water in Well given Discharge in Confined Aquifer can be measured.

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Depth of Water in Well given Discharge in Confined Aquifer Formula

​GoDepth of Water in Well given Discharge in Confined Aquifer with Base 10 Formula

​GoDepth of Water in Well given Coefficient of Transmissibility with Base 10 Formula

Depth of Water in Well given Discharge in Confined Aquifer Example

Depth of Water in Well given Discharge in Confined Aquifer Solution

Depth of Water in Well given Discharge in Confined Aquifer Formula Elements

Other Formulas to find Depth of Water in Well

Other formulas in Depth of Water in Well category

How to Evaluate Depth of Water in Well given Discharge in Confined Aquifer?

FAQs on Depth of Water in Well given Discharge in Confined Aquifer

Variable Name

GoDepth of Water in Well given Discharge in Confined Aquifer with Base 10 Formula

GoDepth of Water in Well given Coefficient of Transmissibility with Base 10 Formula