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Distance from Pumping Well Formula

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The Distance from Pumping Well to Point Intersection is referred as the straight line which intersects the zero-drawdown line. Check FAQs

r o = \sqrt{2.25 \cdot T \cdot \frac{t}{S}}

r_o - Distance from Pumping Well to Point Intersection?T - Transmissivity?t - Time?S - Storage Coefficient (Well-Field Design)?

Distance from Pumping Well Example

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

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

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

3.996 = \sqrt{2.25 \cdot 11 \cdot \frac{4}{6.2}}

3.996m = \sqrt{2.25 \cdot 11m²/s \cdot \frac{4h}{6.2}}

3.996 = \sqrt{2.25 \cdot 11 \cdot \frac{4}{6.2}}

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Distance from Pumping Well Solution

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

FIRST Step Consider the formula

r o = \sqrt{2.25 \cdot T \cdot \frac{t}{S}}

Next Step Substitute values of Variables

∴

r o = \sqrt{2.25 \cdot 11m²/s \cdot \frac{4h}{6.2}}

Next Step Prepare to Evaluate

∴

r o = \sqrt{2.25 \cdot 11 \cdot \frac{4}{6.2}}

Next Step Evaluate

∴

r o = 3.99596570749598m

LAST Step Rounding Answer

∴

r o = 3.996m

Distance from Pumping Well Formula Elements

Variables

Functions

Distance from Pumping Well to Point Intersection

The Distance from Pumping Well to Point Intersection is referred as the straight line which intersects the zero-drawdown line.

Symbol: r_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from Pumping Well to Point Intersection

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

Time

The Time refers to as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

Symbol: t

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Time

Storage Coefficient (Well-Field Design)

The Storage Coefficient (Well-Field Design) refers to 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 should be greater than 0.

Formulas to find Storage Coefficient (Well-Field Design)

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 Well Field Design category

Go Storage Coefficient given Distance from Pumping Well

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

Go Transmissivity given Distance from Pumping Well

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

Go First Estimate of Pumping Rate

Q e = 2.7 \cdot T \cdot Δs

Go Transmissivity for First Estimate of Pumping Rate

T = \frac{Q e}{2.7 \cdot Δs}

How to Evaluate Distance from Pumping Well?

Distance from Pumping Well evaluator uses Distance from Pumping Well to Point Intersection = sqrt(2.25*Transmissivity*Time/Storage Coefficient (Well-Field Design)) to evaluate the Distance from Pumping Well to Point Intersection, The Distance from Pumping Well formula is defined as the point of zero drawdowns on a semilogarithmic graph in which the drawdown is on the arithmetic scale and the distance is on the logarithmic scale. Distance from Pumping Well to Point Intersection is denoted by r_o symbol.

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

FAQs on Distance from Pumping Well

What is the formula to find Distance from Pumping Well?

The formula of Distance from Pumping Well is expressed as Distance from Pumping Well to Point Intersection = sqrt(2.25*Transmissivity*Time/Storage Coefficient (Well-Field Design)). Here is an example- 3.995966 = sqrt(2.25*11*14400/6.2).

How to calculate Distance from Pumping Well?

With Transmissivity (T), Time (t) & Storage Coefficient (Well-Field Design) (S) we can find Distance from Pumping Well using the formula - Distance from Pumping Well to Point Intersection = sqrt(2.25*Transmissivity*Time/Storage Coefficient (Well-Field Design)). This formula also uses Square Root (sqrt) function(s).

Can the Distance from Pumping Well be negative?

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

Which unit is used to measure Distance from Pumping Well?

Distance from Pumping Well 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 can be measured.

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