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Drawdown at Well given Radius of Influence Formula

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The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test. Check FAQs

s t = \frac{R w}{3000 \cdot \sqrt{K dw}}

s_t - Total Drawdown?R_w - Radius of Influence?K_dw - Coefficient of Permeability at Drawdown?

Drawdown at Well given Radius of Influence Example

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Here is how the Drawdown at Well given Radius of Influence equation looks like with Values.

Here is how the Drawdown at Well given Radius of Influence equation looks like with Units.

Here is how the Drawdown at Well given Radius of Influence equation looks like.

0.9065 = \frac{8.6}{3000 \cdot \sqrt{1E-5}}

0.9065m = \frac{8.6m}{3000 \cdot \sqrt{1E-5cm/s}}

0.9065 = \frac{8.6}{3000 \cdot \sqrt{1E-5}}

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Drawdown at Well given Radius of Influence Solution

Follow our step by step solution on how to calculate Drawdown at Well given Radius of Influence?

FIRST Step Consider the formula

s t = \frac{R w}{3000 \cdot \sqrt{K dw}}

Next Step Substitute values of Variables

∴

s t = \frac{8.6m}{3000 \cdot \sqrt{1E-5cm/s}}

Next Step Prepare to Evaluate

∴

s t = \frac{8.6}{3000 \cdot \sqrt{1E-5}}

Next Step Evaluate

∴

s t = 0.906519595914935m

LAST Step Rounding Answer

∴

s t = 0.9065m

Drawdown at Well given Radius of Influence Formula Elements

Variables

Functions

Total Drawdown

The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.

Symbol: s_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Drawdown

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

Coefficient of Permeability at Drawdown

Coefficient of Permeability at Drawdown is the velocity in meters or centimeters per second of water through soils during drawdown at well.

Symbol: K_dw

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability at Drawdown

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)

Other formulas in Depth of Water in Well category

Go Depth of Water in Well given Discharge in Unconfined Aquifer

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

Go Depth of Water at Point 1 given Discharge of Two Wells under Consideration

h 1 = \sqrt{{h 2}^{2} - \frac{Q \cdot \log ((\frac{r 2}{r 1}), e)}{π \cdot K WH}}

Go Depth of Water at Point 2 given Discharge of Two Wells under Consideration

h 2 = \sqrt{{h 1}^{2} + \frac{Q \cdot \log ((\frac{r 2}{r 1}), e)}{π \cdot K WH}}

Go Depth of Water at Point 1 given Discharge from Two Wells with Base 10

h 1 = \sqrt{{h 2}^{2} - \frac{Q \cdot \log ((\frac{r 2}{r 1}), 10)}{1.36 \cdot K WH}}

How to Evaluate Drawdown at Well given Radius of Influence?

Drawdown at Well given Radius of Influence evaluator uses Total Drawdown = Radius of Influence/(3000*sqrt(Coefficient of Permeability at Drawdown)) to evaluate the Total Drawdown, The Drawdown at Well given Radius of Influence fromula is defined as the value of draw down at well when we have prior information of radius of influence. Total Drawdown is denoted by s_t symbol.

How to evaluate Drawdown at Well given Radius of Influence using this online evaluator? To use this online evaluator for Drawdown at Well given Radius of Influence, enter Radius of Influence (R_w) & Coefficient of Permeability at Drawdown (K_dw) and hit the calculate button.

FAQs on Drawdown at Well given Radius of Influence

What is the formula to find Drawdown at Well given Radius of Influence?

The formula of Drawdown at Well given Radius of Influence is expressed as Total Drawdown = Radius of Influence/(3000*sqrt(Coefficient of Permeability at Drawdown)). Here is an example- 0.90652 = 8.6/(3000*sqrt(1E-07)).

How to calculate Drawdown at Well given Radius of Influence?

With Radius of Influence (R_w) & Coefficient of Permeability at Drawdown (K_dw) we can find Drawdown at Well given Radius of Influence using the formula - Total Drawdown = Radius of Influence/(3000*sqrt(Coefficient of Permeability at Drawdown)). This formula also uses Square Root (sqrt) function(s).

Can the Drawdown at Well given Radius of Influence be negative?

Yes, the Drawdown at Well given Radius of Influence, measured in Length can be negative.

Which unit is used to measure Drawdown at Well given Radius of Influence?

Drawdown at Well given Radius of Influence is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Drawdown at Well given Radius of Influence can be measured.

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