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Discharge when Drawdown at Pumping Well is Considered Formula

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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. Check FAQs

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

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

Discharge when Drawdown at Pumping Well is Considered Example

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

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

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

64.9973 = 2 \cdot 3.1416 \cdot 0.703 \cdot \frac{21}{\ln (\frac{25}{6})}

64.9973m³/s = 2 \cdot 3.1416 \cdot 0.703m²/s \cdot \frac{21m}{\ln (\frac{25m}{6m})}

64.9973 = 2 \cdot 3.1416 \cdot 0.703 \cdot \frac{21}{\ln (\frac{25}{6})}

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Discharge when Drawdown at Pumping Well is Considered Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q u = 2 \cdot π \cdot 0.703m²/s \cdot \frac{21m}{\ln (\frac{25m}{6m})}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

Q u = 64.9972683189413m³/s

LAST Step Rounding Answer

∴

Q u = 64.9973m³/s

Discharge when Drawdown at Pumping Well is Considered Formula Elements

Variables

Constants

Functions

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

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

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

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

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 Drawdown when Steady Flow of Unconfined Aquifer

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

Go Transmissivity when Discharge at Drawdown is Considered

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

How to Evaluate Discharge when Drawdown at Pumping Well is Considered?

Discharge when Drawdown at Pumping Well is Considered evaluator uses Steady Flow of an Unconfined Aquifer = 2*pi*Transmissivity of an Unconfined Aquifer*Drawdown at the Pumping Well/ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well) to evaluate the Steady Flow of an Unconfined Aquifer, The Discharge when Drawdown at Pumping Well is Considered formula is defined as the volumetric flow rate of water that is transported through given cross-sectional area. Steady Flow of an Unconfined Aquifer is denoted by Q_u symbol.

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

FAQs on Discharge when Drawdown at Pumping Well is Considered

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

The formula of Discharge when Drawdown at Pumping Well is Considered is expressed as Steady Flow of an Unconfined Aquifer = 2*pi*Transmissivity of an Unconfined Aquifer*Drawdown at the Pumping Well/ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well). Here is an example- 64.99727 = 2*pi*0.703*21/ln(25/6).

How to calculate Discharge when Drawdown at Pumping Well is Considered?

With Transmissivity of an Unconfined Aquifer (T), Drawdown at the Pumping Well (s_w), Radius at the Edge of Zone of Influence (r) & Radius of the Pumping Well (R_w) we can find Discharge when Drawdown at Pumping Well is Considered using the formula - Steady Flow of an Unconfined Aquifer = 2*pi*Transmissivity of an Unconfined Aquifer*Drawdown at the Pumping Well/ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

Can the Discharge when Drawdown at Pumping Well is Considered be negative?

No, the Discharge when Drawdown at Pumping Well is Considered, measured in Volumetric Flow Rate cannot be negative.

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

Discharge when Drawdown at Pumping Well is Considered is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge when Drawdown at Pumping Well is Considered can be measured.

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Discharge when Drawdown at Pumping Well is Considered Formula

Discharge when Drawdown at Pumping Well is Considered Example

Discharge when Drawdown at Pumping Well is Considered Solution

Discharge when Drawdown at Pumping Well is Considered Formula Elements

Other formulas in Approximate Equations category

How to Evaluate Discharge when Drawdown at Pumping Well is Considered?

FAQs on Discharge when Drawdown at Pumping Well is Considered

Variable Name