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Transmissivity when Discharge at Drawdown is Considered Formula

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The Transmissivity of an Unconfined Aquifer refers to the ability of the aquifer to transmit groundwater throughout its entire saturated thickness. Check FAQs

T = \frac{Q u \cdot \ln (\frac{r}{R w})}{2 \cdot π \cdot s w}

T - Transmissivity of an Unconfined Aquifer?Q_u - Steady Flow of an Unconfined Aquifer?r - Radius at the Edge of Zone of Influence?R_w - Radius of the Pumping Well?s_w - Drawdown at the Pumping Well?π - Archimedes' constant?

Transmissivity when Discharge at Drawdown is Considered Example

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Here is how the Transmissivity when Discharge at Drawdown is Considered equation looks like with Values.

Here is how the Transmissivity when Discharge at Drawdown is Considered equation looks like with Units.

Here is how the Transmissivity when Discharge at Drawdown is Considered equation looks like.

0.703 = \frac{65 \cdot \ln (\frac{25}{6})}{2 \cdot 3.1416 \cdot 21}

0.703m²/s = \frac{65m³/s \cdot \ln (\frac{25m}{6m})}{2 \cdot 3.1416 \cdot 21m}

0.703 = \frac{65 \cdot \ln (\frac{25}{6})}{2 \cdot 3.1416 \cdot 21}

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Transmissivity when Discharge at Drawdown is Considered Solution

Follow our step by step solution on how to calculate Transmissivity when Discharge at Drawdown is Considered?

FIRST Step Consider the formula

T = \frac{Q u \cdot \ln (\frac{r}{R w})}{2 \cdot π \cdot s w}

Next Step Substitute values of Variables

∴

T = \frac{65m³/s \cdot \ln (\frac{25m}{6m})}{2 \cdot π \cdot 21m}

Next Step Substitute values of Constants

∴

T = \frac{65m³/s \cdot \ln (\frac{25m}{6m})}{2 \cdot 3.1416 \cdot 21m}

Next Step Prepare to Evaluate

∴

T = \frac{65 \cdot \ln (\frac{25}{6})}{2 \cdot 3.1416 \cdot 21}

Next Step Evaluate

∴

T = 0.703029545422968m²/s

LAST Step Rounding Answer

∴

T = 0.703m²/s

Transmissivity when Discharge at Drawdown is Considered Formula Elements

Variables

Constants

Functions

Transmissivity of an Unconfined Aquifer

The Transmissivity of an Unconfined Aquifer refers to the ability of the aquifer to transmit groundwater throughout its entire saturated thickness.

Symbol: T

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Transmissivity of an Unconfined Aquifer

Steady Flow of an Unconfined Aquifer

The Steady Flow of an Unconfined Aquifer refers to a condition where the groundwater flow rate and the water table level remain constant over time.

Symbol: Q_u

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Steady Flow of an Unconfined Aquifer

Radius at the Edge of Zone of Influence

The Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius at the Edge of Zone of Influence

Radius of the Pumping Well

The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge.

Symbol: R_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of the Pumping Well

Drawdown at the Pumping Well

The Drawdown at the Pumping Well refers to the term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow.

Symbol: s_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Drawdown at the Pumping 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

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Approximate Equations category

Go Drawdown at Pumping Well

s w = (H - h w)

Go Discharge when Drawdown at Pumping Well is Considered

Q u = 2 \cdot π \cdot T \cdot \frac{s w}{\ln (\frac{r}{R w})}

Go Drawdown when Steady Flow of Unconfined Aquifer

s w = \frac{Q u \cdot \ln (\frac{r}{R w})}{2 \cdot π \cdot T}

How to Evaluate Transmissivity when Discharge at Drawdown is Considered?

Transmissivity when Discharge at Drawdown is Considered evaluator uses Transmissivity of an Unconfined Aquifer = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Drawdown at the Pumping Well) to evaluate the Transmissivity of an Unconfined Aquifer, The Transmissivity when Discharge at Drawdown is Considered formula is defined as the ability of the aquifer to transmit groundwater throughout its entire saturated thickness. Transmissivity of an Unconfined Aquifer is denoted by T symbol.

How to evaluate Transmissivity when Discharge at Drawdown is Considered using this online evaluator? To use this online evaluator for Transmissivity when Discharge at Drawdown is Considered, enter Steady Flow of an Unconfined Aquifer (Q_u), Radius at the Edge of Zone of Influence (r), Radius of the Pumping Well (R_w) & Drawdown at the Pumping Well (s_w) and hit the calculate button.

FAQs on Transmissivity when Discharge at Drawdown is Considered

What is the formula to find Transmissivity when Discharge at Drawdown is Considered?

The formula of Transmissivity when Discharge at Drawdown is Considered is expressed as Transmissivity of an Unconfined Aquifer = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Drawdown at the Pumping Well). Here is an example- 0.70303 = (65*ln(25/6))/(2*pi*21).

How to calculate Transmissivity when Discharge at Drawdown is Considered?

With Steady Flow of an Unconfined Aquifer (Q_u), Radius at the Edge of Zone of Influence (r), Radius of the Pumping Well (R_w) & Drawdown at the Pumping Well (s_w) we can find Transmissivity when Discharge at Drawdown is Considered using the formula - Transmissivity of an Unconfined Aquifer = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Drawdown at the Pumping Well). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

Can the Transmissivity when Discharge at Drawdown is Considered be negative?

Yes, the Transmissivity when Discharge at Drawdown is Considered, measured in Kinematic Viscosity can be negative.

Which unit is used to measure Transmissivity when Discharge at Drawdown is Considered?

Transmissivity when Discharge at Drawdown is Considered is usually measured using the Square Meter per Second[m²/s] for Kinematic Viscosity. Square Meter per Hour[m²/s], Square Centimeter per Second[m²/s], Square Millimeter per Second[m²/s] are the few other units in which Transmissivity when Discharge at Drawdown is Considered can be measured.

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Transmissivity when Discharge at Drawdown is Considered Formula

Transmissivity when Discharge at Drawdown is Considered Example

Transmissivity when Discharge at Drawdown is Considered Solution

Transmissivity when Discharge at Drawdown is Considered Formula Elements

Other formulas in Approximate Equations category

How to Evaluate Transmissivity when Discharge at Drawdown is Considered?

FAQs on Transmissivity when Discharge at Drawdown is Considered

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