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Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Formula

GoAquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer with Base 10 Formula

GoAquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Formula

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Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping. Check FAQs

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

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

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Example

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Here is how the Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer equation looks like with Values.

Here is how the Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer equation looks like with Units.

Here is how the Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer equation looks like.

2.4474 = 2.44 + (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 1125 \cdot 14.15})

2.4474m = 2.44m + (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot 3.1416 \cdot 1125cm/s \cdot 14.15m})

2.4474 = 2.44 + (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 1125 \cdot 14.15})

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Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Solution

Follow our step by step solution on how to calculate Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H i = 2.44m + (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot π \cdot 1125cm/s \cdot 14.15m})

Next Step Substitute values of Constants

∴

H i = 2.44m + (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot 3.1416 \cdot 1125cm/s \cdot 14.15m})

Next Step Convert Units

∴

H i = 2.44m + (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot 3.1416 \cdot 11.25m/s \cdot 14.15m})

Next Step Prepare to Evaluate

∴

H i = 2.44 + (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 11.25 \cdot 14.15})

Next Step Evaluate

∴

H i = 2.44737833892845m

LAST Step Rounding Answer

∴

H i = 2.4474m

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Formula Elements

Variables

Constants

Functions

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

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

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

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 Initial Aquifer Thickness

Go Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer with Base 10

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

Go Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility

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

Other formulas in Aquifer Thickness category

Go Thickness of Confined Aquifer given Discharge in Confined Aquifer

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

Go Thickness of Confined Aquifer given Discharge in Confined Aquifer with Base 10

t aq = \frac{Q c}{\frac{2.72 \cdot K WH \cdot (b w - h w)}{\log ((\frac{R w}{r}), 10)}}

How to Evaluate Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer?

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer evaluator uses Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)) to evaluate the Initial Aquifer Thickness, The Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer formula is defined as the value of thickness of an aquifer, which is the water-bearing layer of permeable rock, sand, or gravel, measured from the base of an impermeable layer above or below the aquifer, when we have prior information of discharge. Initial Aquifer Thickness is denoted by H_i symbol.

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

FAQs on Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer

What is the formula to find Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer?

The formula of Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer is expressed as Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)). Here is an example- 2.448301 = 2.44+((1.01*log((8.6/7.5),e))/(2*pi*11.25*14.15)).

How to calculate Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer?

With Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r), Coefficient of Permeability (K_w) & Aquifer Thickness (b_w) we can find Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer using the formula - Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Initial Aquifer Thickness?

Here are the different ways to Calculate Initial Aquifer Thickness-

Initial Aquifer Thickness=Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability*Aquifer Thickness))
Initial Aquifer Thickness=Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility in Enviro. Eng.))
Initial Aquifer Thickness=Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Transmissibility in Enviro. Eng.))

Can the Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer be negative?

No, the Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer, measured in Length cannot be negative.

Which unit is used to measure Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer?

Aquifer Thickness from Impermeable Layer 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 Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer can be measured.

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Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Formula

​GoAquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer with Base 10 Formula

​GoAquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Formula

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Example

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Solution

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Formula Elements

Other Formulas to find Initial Aquifer Thickness

Other formulas in Aquifer Thickness category

How to Evaluate Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer?

FAQs on Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer

Variable Name

GoAquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer with Base 10 Formula

GoAquifer Thickness from Impermeable Layer given Coefficient of Transmissibility Formula