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Distance from pumping well to observation well Formula

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Distance from Pumping Well to the point where drawdown occurs. Check FAQs

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

r - Distance from Pumping Well?τ - Transmissivity?t_o - Time at the Point of Intersection?S - Storage Coefficient?

Distance from pumping well to observation well Example

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Here is how the Distance from pumping well to observation well equation looks like with Values.

Here is how the Distance from pumping well to observation well equation looks like with Units.

Here is how the Distance from pumping well to observation well equation looks like.

2.1088 = \sqrt{\frac{2.25 \cdot 1.4 \cdot 120}{85}}

2.1088m = \sqrt{\frac{2.25 \cdot 1.4m²/s \cdot 120min}{85}}

2.1088 = \sqrt{\frac{2.25 \cdot 1.4 \cdot 120}{85}}

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Distance from pumping well to observation well Solution

Follow our step by step solution on how to calculate Distance from pumping well to observation well?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{2.25 \cdot 1.4m²/s \cdot 120min}{85}}

Next Step Prepare to Evaluate

∴

r = \sqrt{\frac{2.25 \cdot 1.4 \cdot 120}{85}}

Next Step Evaluate

∴

r = 2.10880507006442m

LAST Step Rounding Answer

∴

r = 2.1088m

Distance from pumping well to observation well Formula Elements

Variables

Functions

Distance from Pumping Well

Distance from Pumping Well to the point where drawdown occurs.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from Pumping Well

Transmissivity

The Transmissivity refers to the measure of how much water can be transmitted horizontally through an aquifer is the product of the hydraulic conductivity of the aquifer and its saturated thickness.

Symbol: τ

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Transmissivity

Time at the Point of Intersection

Time at the Point of Intersection between Straight Line and Zero-drawdown Line.

Symbol: t_o

Measurement: TimeUnit: min

Note: Value can be positive or negative.

Formulas to find Time at the Point of Intersection

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 Time Drawdown Analysis category

Go Time at which Steady Shape Conditions Develop

t c = \frac{7200 \cdot r^{2} \cdot S}{τ}

Go Storage Coefficient given time at which Steady Shape conditions develops

S = τ \cdot \frac{t c}{7200} \cdot r^{2}

Go Transmissivity derived from time drawdown graphs

τ = \frac{2.3 \cdot q}{4 \cdot π \cdot Δs}

Go Equation for pumping rate of transmissivity from time drawdown graphs

q = \frac{τ \cdot 4 \cdot π \cdot Δs D}{2.3}

How to Evaluate Distance from pumping well to observation well?

Distance from pumping well to observation well evaluator uses Distance from Pumping Well = sqrt((2.25*Transmissivity*Time at the Point of Intersection)/Storage Coefficient) to evaluate the Distance from Pumping Well, The Distance from pumping well to observation well depends on the variables of Transmissivity, time at the point where the straight line intersects the zero-drawdown line and the storage coefficient. Distance from Pumping Well is denoted by r symbol.

How to evaluate Distance from pumping well to observation well using this online evaluator? To use this online evaluator for Distance from pumping well to observation well, enter Transmissivity (τ), Time at the Point of Intersection (t_o) & Storage Coefficient (S) and hit the calculate button.

FAQs on Distance from pumping well to observation well

What is the formula to find Distance from pumping well to observation well?

The formula of Distance from pumping well to observation well is expressed as Distance from Pumping Well = sqrt((2.25*Transmissivity*Time at the Point of Intersection)/Storage Coefficient). Here is an example- 2.108805 = sqrt((2.25*1.4*7200)/85).

How to calculate Distance from pumping well to observation well?

With Transmissivity (τ), Time at the Point of Intersection (t_o) & Storage Coefficient (S) we can find Distance from pumping well to observation well using the formula - Distance from Pumping Well = sqrt((2.25*Transmissivity*Time at the Point of Intersection)/Storage Coefficient). This formula also uses Square Root (sqrt) function(s).

Can the Distance from pumping well to observation well be negative?

Yes, the Distance from pumping well to observation well, measured in Length can be negative.

Which unit is used to measure Distance from pumping well to observation well?

Distance from pumping well to observation 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 to observation well can be measured.

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Distance from pumping well to observation well Formula

Distance from pumping well to observation well Example

Distance from pumping well to observation well Solution

Distance from pumping well to observation well Formula Elements

Other formulas in Time Drawdown Analysis category

How to Evaluate Distance from pumping well to observation well?

FAQs on Distance from pumping well to observation well

Variable Name