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Distance from Pumping Well given Storage Coefficient Formula

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Distance from Pumping Well is the horizontal distance between a specific point in an aquifer and the location of a pumping well. It influences the behavior of groundwater flow. Check FAQs

r = \sqrt{(2.25 \cdot T \cdot \frac{t 0}{S})}

r - Distance from Pumping Well?T - Transmissivity?t₀ - Starting Time?S - Storage Coefficient?

Distance from Pumping Well given Storage Coefficient Example

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Here is how the Distance from Pumping Well given Storage Coefficient equation looks like with Values.

Here is how the Distance from Pumping Well given Storage Coefficient equation looks like with Units.

Here is how the Distance from Pumping Well given Storage Coefficient equation looks like.

3.0044 = \sqrt{(2.25 \cdot 11 \cdot \frac{31}{85})}

3.0044m = \sqrt{(2.25 \cdot 11m²/s \cdot \frac{31s}{85})}

3.0044 = \sqrt{(2.25 \cdot 11 \cdot \frac{31}{85})}

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Distance from Pumping Well given Storage Coefficient Solution

Follow our step by step solution on how to calculate Distance from Pumping Well given Storage Coefficient?

FIRST Step Consider the formula

r = \sqrt{(2.25 \cdot T \cdot \frac{t 0}{S})}

Next Step Substitute values of Variables

∴

r = \sqrt{(2.25 \cdot 11m²/s \cdot \frac{31s}{85})}

Next Step Prepare to Evaluate

∴

r = \sqrt{(2.25 \cdot 11 \cdot \frac{31}{85})}

Next Step Evaluate

∴

r = 3.004408525523m

LAST Step Rounding Answer

∴

r = 3.0044m

Distance from Pumping Well given Storage Coefficient Formula Elements

Variables

Functions

Distance from Pumping Well

Distance from Pumping Well is the horizontal distance between a specific point in an aquifer and the location of a pumping well. It influences the behavior of groundwater flow.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from Pumping Well

Transmissivity

Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it.

Symbol: T

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Transmissivity

Starting Time

Starting Time is the initial moment or period when an aquifer test or pumping test begins. This is crucial for understanding the response of the groundwater system to the stress imposed by the test.

Symbol: t₀

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Starting Time

Storage Coefficient

Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Storage Coefficient

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 Unsteady Flow in a Confined Aquifer category

Go Drawdown

s t = (\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{2.2 \cdot T \cdot t}{r^{2} \cdot S})

Go Drawdown at Time Interval 't1'

s 1 = s 2 - ((\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{t 2}{t 1}))

Go Drawdown at Time Interval 't2'

s 2 = ((\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{t 2}{t 1})) + s 1

Go Equation for Storage Coefficient

S = 2.25 \cdot T \cdot \frac{t 0}{r^{2}}

How to Evaluate Distance from Pumping Well given Storage Coefficient?

Distance from Pumping Well given Storage Coefficient evaluator uses Distance from Pumping Well = sqrt((2.25*Transmissivity*Starting Time/Storage Coefficient)) to evaluate the Distance from Pumping Well, The Distance from Pumping Well given Storage Coefficient formula is defined as the radius or area around a well where the drawdown or reduction in groundwater level can be observed. This distance is influenced by the storage coefficient, which is a measure of the amount of water a confined aquifer releases from storage per unit surface area of the aquifer per unit decline in the piezometric head. Distance from Pumping Well is denoted by r symbol.

How to evaluate Distance from Pumping Well given Storage Coefficient using this online evaluator? To use this online evaluator for Distance from Pumping Well given Storage Coefficient, enter Transmissivity (T), Starting Time (t₀) & Storage Coefficient (S) and hit the calculate button.

FAQs on Distance from Pumping Well given Storage Coefficient

What is the formula to find Distance from Pumping Well given Storage Coefficient?

The formula of Distance from Pumping Well given Storage Coefficient is expressed as Distance from Pumping Well = sqrt((2.25*Transmissivity*Starting Time/Storage Coefficient)). Here is an example- 3.004409 = sqrt((2.25*11*31/85)).

How to calculate Distance from Pumping Well given Storage Coefficient?

With Transmissivity (T), Starting Time (t₀) & Storage Coefficient (S) we can find Distance from Pumping Well given Storage Coefficient using the formula - Distance from Pumping Well = sqrt((2.25*Transmissivity*Starting Time/Storage Coefficient)). This formula also uses Square Root (sqrt) function(s).

Can the Distance from Pumping Well given Storage Coefficient be negative?

Yes, the Distance from Pumping Well given Storage Coefficient, measured in Length can be negative.

Which unit is used to measure Distance from Pumping Well given Storage Coefficient?

Distance from Pumping Well given Storage Coefficient is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance from Pumping Well given Storage Coefficient can be measured.

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Distance from Pumping Well given Storage Coefficient Formula

Distance from Pumping Well given Storage Coefficient Example

Distance from Pumping Well given Storage Coefficient Solution

Distance from Pumping Well given Storage Coefficient Formula Elements

Other formulas in Unsteady Flow in a Confined Aquifer category

How to Evaluate Distance from Pumping Well given Storage Coefficient?

FAQs on Distance from Pumping Well given Storage Coefficient

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