FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Drawdown when Steady Flow of Unconfined Aquifer Formula

GoDrawdown at Pumping Well Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Drawdown when Steady Flow of Unconfined Aquifer Example

With values

With units

Only example

Here is how the Drawdown when Steady Flow of Unconfined Aquifer equation looks like with Values.

Here is how the Drawdown when Steady Flow of Unconfined Aquifer equation looks like with Units.

Here is how the Drawdown when Steady Flow of Unconfined Aquifer equation looks like.

21.0009 = \frac{65 \cdot \ln (\frac{25}{6})}{2 \cdot 3.1416 \cdot 0.703}

21.0009m = \frac{65m³/s \cdot \ln (\frac{25m}{6m})}{2 \cdot 3.1416 \cdot 0.703m²/s}

21.0009 = \frac{65 \cdot \ln (\frac{25}{6})}{2 \cdot 3.1416 \cdot 0.703}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Engineering Hydrology » fx Drawdown when Steady Flow of Unconfined Aquifer

Drawdown when Steady Flow of Unconfined Aquifer Solution

Follow our step by step solution on how to calculate Drawdown when Steady Flow of Unconfined Aquifer?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

s w = 21.0008825802025m

LAST Step Rounding Answer

∴

s w = 21.0009m

Drawdown when Steady Flow of Unconfined Aquifer Formula Elements

Variables

Constants

Functions

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

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

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

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 to find Drawdown at the Pumping Well

Go Drawdown at Pumping Well

s w = (H - h w)

Other formulas in Approximate Equations category

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 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 Drawdown when Steady Flow of Unconfined Aquifer?

Drawdown when Steady Flow of Unconfined Aquifer evaluator uses Drawdown at the Pumping Well = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Transmissivity of an Unconfined Aquifer) to evaluate the Drawdown at the Pumping Well, The Drawdown when Steady Flow of Unconfined Aquifer formula is defined as the term applied to maximum lowering of groundwater table caused by pumping or artesian flow. Drawdown at the Pumping Well is denoted by s_w symbol.

How to evaluate Drawdown when Steady Flow of Unconfined Aquifer using this online evaluator? To use this online evaluator for Drawdown when Steady Flow of Unconfined Aquifer, 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) & Transmissivity of an Unconfined Aquifer (T) and hit the calculate button.

FAQs on Drawdown when Steady Flow of Unconfined Aquifer

What is the formula to find Drawdown when Steady Flow of Unconfined Aquifer?

The formula of Drawdown when Steady Flow of Unconfined Aquifer is expressed as Drawdown at the Pumping Well = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Transmissivity of an Unconfined Aquifer). Here is an example- 21.00088 = (65*ln(25/6))/(2*pi*0.703).

How to calculate Drawdown when Steady Flow of Unconfined Aquifer?

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

What are the other ways to Calculate Drawdown at the Pumping Well?

Here are the different ways to Calculate Drawdown at the Pumping Well-

Drawdown at the Pumping Well=(Saturated Thickness of the Aquifer-Depth of Water in the Pumping Well)

Can the Drawdown when Steady Flow of Unconfined Aquifer be negative?

No, the Drawdown when Steady Flow of Unconfined Aquifer, measured in Length cannot be negative.

Which unit is used to measure Drawdown when Steady Flow of Unconfined Aquifer?

Drawdown when Steady Flow of Unconfined Aquifer is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Drawdown when Steady Flow of Unconfined Aquifer can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Drawdown when Steady Flow of Unconfined Aquifer Formula

​GoDrawdown at Pumping Well Formula

Drawdown when Steady Flow of Unconfined Aquifer Example

Drawdown when Steady Flow of Unconfined Aquifer Solution

Drawdown when Steady Flow of Unconfined Aquifer Formula Elements

Other Formulas to find Drawdown at the Pumping Well

Other formulas in Approximate Equations category

How to Evaluate Drawdown when Steady Flow of Unconfined Aquifer?

FAQs on Drawdown when Steady Flow of Unconfined Aquifer

Variable Name

GoDrawdown at Pumping Well Formula