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Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 Formula

GoThickness of Aquifer given Drawdown Value measured at Well Formula

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The Thickness of Aquifer vertical thickness of the hydro geologically defined aquifer in which the pore spaces of the rock forming the aquifer are filled with water. Check FAQs

b = \sqrt{{h w}^{2} + \frac{Q \cdot \log ((\frac{R w}{r}), 10)}{1.36 \cdot K s}}

b - Thickness of Aquifer?h_w - Depth of Water?Q - Discharge?R_w - Radius of Influence?r - Radius of Well?K_s - Standard Coefficient of Permeability at 20°C?

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 Example

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Here is how the Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 equation looks like.

2.7298 = \sqrt{{2.44}^{2} + \frac{1.01 \cdot \log ((\frac{8.6}{7.5}), 10)}{1.36 \cdot 8.34}}

2.7298m = \sqrt{{2.44m}^{2} + \frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), 10)}{1.36 \cdot 8.34}}

2.7298 = \sqrt{{2.44}^{2} + \frac{1.01 \cdot \log ((\frac{8.6}{7.5}), 10)}{1.36 \cdot 8.34}}

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Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 Solution

Follow our step by step solution on how to calculate Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10?

FIRST Step Consider the formula

b = \sqrt{{h w}^{2} + \frac{Q \cdot \log ((\frac{R w}{r}), 10)}{1.36 \cdot K s}}

Next Step Substitute values of Variables

∴

b = \sqrt{{2.44m}^{2} + \frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), 10)}{1.36 \cdot 8.34}}

Next Step Prepare to Evaluate

∴

b = \sqrt{{2.44}^{2} + \frac{1.01 \cdot \log ((\frac{8.6}{7.5}), 10)}{1.36 \cdot 8.34}}

Next Step Evaluate

∴

b = 2.72979117793667m

LAST Step Rounding Answer

∴

b = 2.7298m

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 Formula Elements

Variables

Functions

Thickness of Aquifer

The Thickness of Aquifer vertical thickness of the hydro geologically defined aquifer in which the pore spaces of the rock forming the aquifer are filled with water.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Aquifer

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

Standard Coefficient of Permeability at 20°C

Standard Coefficient of Permeability at 20°C of pure water at standard temperature.

Symbol: K_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Standard Coefficient of Permeability at 20°C

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Thickness of Aquifer

Go Thickness of Aquifer given Drawdown Value measured at Well

b = s t + h w

Other formulas in Aquifer Thickness category

Go Thickness of Aquifer given Discharge in Unconfined Aquifer

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

Go Cross-section Area of Soil Mass given Flow Velocity

A xsec = (\frac{V aq}{V f})

Go Length of Strainer given Discharge

l st = (\frac{Q \cdot \log ((\frac{R w}{r}), 10)}{2.72 \cdot K WH \cdot S tw}) - (\frac{S tw}{2})

How to Evaluate Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10?

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 evaluator uses Thickness of Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of Well),10))/(1.36*Standard Coefficient of Permeability at 20°C)) to evaluate the Thickness of Aquifer, The Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 formula is defined as the value of thickness of aquifer when we have prior information of other parameters used. Thickness of Aquifer is denoted by b symbol.

How to evaluate Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 using this online evaluator? To use this online evaluator for Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10, enter Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Standard Coefficient of Permeability at 20°C (K_s) and hit the calculate button.

FAQs on Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10

What is the formula to find Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10?

The formula of Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 is expressed as Thickness of Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of Well),10))/(1.36*Standard Coefficient of Permeability at 20°C)). Here is an example- 2.729791 = sqrt(2.44^2+(1.01*log((8.6/7.5),10))/(1.36*8.34)).

How to calculate Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10?

With Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Standard Coefficient of Permeability at 20°C (K_s) we can find Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 using the formula - Thickness of Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of Well),10))/(1.36*Standard Coefficient of Permeability at 20°C)). This formula also uses Square Root Function, Logarithmic Inverse Function function(s).

What are the other ways to Calculate Thickness of Aquifer?

Here are the different ways to Calculate Thickness of Aquifer-

Thickness of Aquifer=Total Drawdown+Depth of Water

Can the Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 be negative?

No, the Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10, measured in Length cannot be negative.

Which unit is used to measure Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10?

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 can be measured.

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Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 Formula

​GoThickness of Aquifer given Drawdown Value measured at Well Formula

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 Example

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 Solution

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 Formula Elements

Other Formulas to find Thickness of Aquifer

Other formulas in Aquifer Thickness category

How to Evaluate Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10?

FAQs on Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10

Variable Name

GoThickness of Aquifer given Drawdown Value measured at Well Formula