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Thickness of Confined Aquifer given Discharge in Confined Aquifer Formula

GoAquifer Thickness given Depth of Water in Two Wells Formula

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

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

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

Thickness of Confined Aquifer given Discharge in Confined Aquifer Example

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

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

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

2.6101 = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 1125 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), e)}}

2.6101m = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 1125cm/s \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}}

2.6101 = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 1125 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), e)}}

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Thickness of Confined Aquifer given Discharge in Confined Aquifer Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b p = \frac{1.01m³/s}{\frac{2 \cdot π \cdot 1125cm/s \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Substitute values of Constants

∴

b p = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 1125cm/s \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Convert Units

∴

b p = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 11.25m/s \cdot (2.48m - 2.44m)}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Prepare to Evaluate

∴

b p = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 11.25 \cdot (2.48 - 2.44)}{\log ((\frac{8.6}{7.5}), e)}}

Next Step Evaluate

∴

b p = 2.61008739593759m

LAST Step Rounding Answer

∴

b p = 2.6101m

Thickness of Confined Aquifer given Discharge in Confined Aquifer Formula Elements

Variables

Constants

Functions

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

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

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

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 Aquifer Thickness During Pumping

Go Aquifer Thickness given Depth of Water in Two Wells

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

Other formulas in Aquifer Thickness category

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)}}

How to Evaluate Thickness of Confined Aquifer given Discharge in Confined Aquifer?

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

How to evaluate Thickness of Confined Aquifer given Discharge in Confined Aquifer using this online evaluator? To use this online evaluator for Thickness of Confined Aquifer given Discharge in Confined Aquifer, enter Discharge (Q), Coefficient of Permeability (K_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 Thickness of Confined Aquifer given Discharge in Confined Aquifer

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

The formula of Thickness of Confined Aquifer given Discharge in Confined Aquifer is expressed as Aquifer Thickness During Pumping = Discharge/((2*pi*Coefficient of Permeability*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e))). Here is an example- 2.936348 = 1.01/((2*pi*11.25*(2.48-2.44))/(log((8.6/7.5),e))).

How to calculate Thickness of Confined Aquifer given Discharge in Confined Aquifer?

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

What are the other ways to Calculate Aquifer Thickness During Pumping?

Here are the different ways to Calculate Aquifer Thickness During Pumping-

Aquifer Thickness During Pumping=Discharge/((2.72*Coefficient of Permeability*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)))

Can the Thickness of Confined Aquifer given Discharge in Confined Aquifer be negative?

No, the Thickness of Confined Aquifer given Discharge in Confined Aquifer, measured in Length cannot be negative.

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

Thickness of Confined Aquifer 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 Thickness of Confined Aquifer given Discharge in Confined Aquifer can be measured.

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Thickness of Confined Aquifer given Discharge in Confined Aquifer Formula

​GoAquifer Thickness given Depth of Water in Two Wells Formula

Thickness of Confined Aquifer given Discharge in Confined Aquifer Example

Thickness of Confined Aquifer given Discharge in Confined Aquifer Solution

Thickness of Confined Aquifer given Discharge in Confined Aquifer Formula Elements

Other Formulas to find Aquifer Thickness During Pumping

Other formulas in Aquifer Thickness category

How to Evaluate Thickness of Confined Aquifer given Discharge in Confined Aquifer?

FAQs on Thickness of Confined Aquifer given Discharge in Confined Aquifer

Variable Name

GoAquifer Thickness given Depth of Water in Two Wells Formula