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Depth of Water in Well given Coefficient of Transmissibility Formula

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

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

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

Depth of Water in Well given Coefficient of Transmissibility Example

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Here is how the Depth of Water in Well given Coefficient of Transmissibility equation looks like with Values.

Here is how the Depth of Water in Well given Coefficient of Transmissibility equation looks like with Units.

Here is how the Depth of Water in Well given Coefficient of Transmissibility equation looks like.

1.697 = 2.48 - (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 1.5})

1.697m = 2.48m - (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot 3.1416 \cdot 1.5m²/s})

1.697 = 2.48 - (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 1.5})

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Depth of Water in Well given Coefficient of Transmissibility Solution

Follow our step by step solution on how to calculate Depth of Water in Well given Coefficient of Transmissibility?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h w = 2.48m - (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot π \cdot 1.5m²/s})

Next Step Substitute values of Constants

∴

h w = 2.48m - (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), e)}{2 \cdot 3.1416 \cdot 1.5m²/s})

Next Step Prepare to Evaluate

∴

h w = 2.48 - (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), e)}{2 \cdot 3.1416 \cdot 1.5})

Next Step Evaluate

∴

h w = 1.69697378121872m

LAST Step Rounding Answer

∴

h w = 1.697m

Depth of Water in Well given Coefficient of Transmissibility Formula Elements

Variables

Constants

Functions

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

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

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 Transmissibility

Coefficient of Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.

Symbol: T_envi

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Transmissibility

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 Depth of Water in Well category

Go Depth of Water in Well given Discharge in Confined Aquifer

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

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})

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 Coefficient of Transmissibility?

Depth of Water in Well given Coefficient of Transmissibility evaluator uses Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility)) to evaluate the Depth of Water, The Depth of Water in Well given Coefficient of Transmissibility formula is defined as the calculation of depth of water in well when we have prior information of coefficient of transmissibility. Depth of Water is denoted by h_w symbol.

How to evaluate Depth of Water in Well given Coefficient of Transmissibility using this online evaluator? To use this online evaluator for Depth of Water in Well given Coefficient of Transmissibility, enter Initial Aquifer Thickness (H_i), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Transmissibility (T_envi) and hit the calculate button.

FAQs on Depth of Water in Well given Coefficient of Transmissibility

What is the formula to find Depth of Water in Well given Coefficient of Transmissibility?

The formula of Depth of Water in Well given Coefficient of Transmissibility is expressed as Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility)). Here is an example- 1.756974 = 2.48-((1.01*log((8.6/7.5),e))/(2*pi*1.5)).

How to calculate Depth of Water in Well given Coefficient of Transmissibility?

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

Can the Depth of Water in Well given Coefficient of Transmissibility be negative?

No, the Depth of Water in Well given Coefficient of Transmissibility, measured in Length cannot be negative.

Which unit is used to measure Depth of Water in Well given Coefficient of Transmissibility?

Depth of Water in Well given Coefficient of Transmissibility 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 Coefficient of Transmissibility can be measured.

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Depth of Water in Well given Coefficient of Transmissibility Formula

Depth of Water in Well given Coefficient of Transmissibility Example

Depth of Water in Well given Coefficient of Transmissibility Solution

Depth of Water in Well given Coefficient of Transmissibility Formula Elements

Other formulas in Depth of Water in Well category

How to Evaluate Depth of Water in Well given Coefficient of Transmissibility?

FAQs on Depth of Water in Well given Coefficient of Transmissibility

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