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Aquifer Thickness given Confined Aquifer Discharge Formula

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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. Check FAQs

b w = \frac{Q}{\frac{2 \cdot π \cdot K WH \cdot s t}{\log ((\frac{R w}{r}), e)}}

b_w - Aquifer Thickness?Q - Discharge?K_WH - Coefficient of Permeability in Well Hydraulics?s_t - Total Drawdown?R_w - Radius of Influence?r - Radius of Well?π - Archimedes' constant?

Aquifer Thickness given Confined Aquifer Discharge Example

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

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

Here is how the Aquifer Thickness given Confined Aquifer Discharge equation looks like.

14.1511 = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 10 \cdot 0.83}{\log ((\frac{8.6}{7.5}), e)}}

14.1511m = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 0.83m}{\log ((\frac{8.6m}{7.5m}), e)}}

14.1511 = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 10 \cdot 0.83}{\log ((\frac{8.6}{7.5}), e)}}

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Aquifer Thickness given Confined Aquifer Discharge Solution

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

FIRST Step Consider the formula

b w = \frac{Q}{\frac{2 \cdot π \cdot K WH \cdot s t}{\log ((\frac{R w}{r}), e)}}

Next Step Substitute values of Variables

∴

b w = \frac{1.01m³/s}{\frac{2 \cdot π \cdot 10cm/s \cdot 0.83m}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Substitute values of Constants

∴

b w = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 0.83m}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Convert Units

∴

b w = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 0.1m/s \cdot 0.83m}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Prepare to Evaluate

∴

b w = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 0.1 \cdot 0.83}{\log ((\frac{8.6}{7.5}), e)}}

Next Step Evaluate

∴

b w = 14.1510762430351m

LAST Step Rounding Answer

∴

b w = 14.1511m

Aquifer Thickness given Confined Aquifer Discharge Formula Elements

Variables

Constants

Functions

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

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

Total Drawdown

The Total Drawdown 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_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Drawdown

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 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 Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer

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

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)}}

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})

How to Evaluate Aquifer Thickness given Confined Aquifer Discharge?

Aquifer Thickness given Confined Aquifer Discharge evaluator uses Aquifer Thickness = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))) to evaluate the Aquifer Thickness, The Aquifer Thickness given Confined Aquifer Discharge 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 confined aquifer discharge. Aquifer Thickness is denoted by b_w symbol.

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

FAQs on Aquifer Thickness given Confined Aquifer Discharge

What is the formula to find Aquifer Thickness given Confined Aquifer Discharge?

The formula of Aquifer Thickness given Confined Aquifer Discharge is expressed as Aquifer Thickness = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))). Here is an example- 14.15108 = 1.01/((2*pi*0.1*0.83)/(log((8.6/7.5),e))).

How to calculate Aquifer Thickness given Confined Aquifer Discharge?

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

Can the Aquifer Thickness given Confined Aquifer Discharge be negative?

Yes, the Aquifer Thickness given Confined Aquifer Discharge, measured in Length can be negative.

Which unit is used to measure Aquifer Thickness given Confined Aquifer Discharge?

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

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Aquifer Thickness given Confined Aquifer Discharge Formula

Aquifer Thickness given Confined Aquifer Discharge Example

Aquifer Thickness given Confined Aquifer Discharge Solution

Aquifer Thickness given Confined Aquifer Discharge Formula Elements

Other formulas in Aquifer Thickness category

How to Evaluate Aquifer Thickness given Confined Aquifer Discharge?

FAQs on Aquifer Thickness given Confined Aquifer Discharge

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