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Depth of Water in Well when Interference among Three Well is Present Formula

GoDepth of Water in Well when Interference among Well is Present Formula

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Depth of Water is the depth in the well measured above the impermeable layer. Check FAQs

h w = H - (\frac{Q th \cdot \log (\frac{R^{3}}{r \cdot B^{2}}, e)}{2 \cdot π \cdot K \cdot b})

h_w - Depth of Water?H - Initial Piezometric Surface?Q_th - Discharge by Each Well at Three Well Interference?R - Radius of Influence?r - Radius of Well?B - Distance Between Wells?K - Coefficient of Permeability?b - Aquifer Thickness?π - Archimedes' constant?

Depth of Water in Well when Interference among Three Well is Present Example

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Here is how the Depth of Water in Well when Interference among Three Well is Present equation looks like with Values.

Here is how the Depth of Water in Well when Interference among Three Well is Present equation looks like with Units.

Here is how the Depth of Water in Well when Interference among Three Well is Present equation looks like.

2.4406 = 20 - (\frac{18.397 \cdot \log (\frac{100^{3}}{2.94 \cdot {2.93}^{2}}, e)}{2 \cdot 3.1416 \cdot 0.105 \cdot 15})

2.4406m = 20m - (\frac{18.397m³/s \cdot \log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}{2 \cdot 3.1416 \cdot 0.105cm/s \cdot 15m})

2.4406 = 20 - (\frac{18.397 \cdot \log (\frac{100^{3}}{2.94 \cdot {2.93}^{2}}, e)}{2 \cdot 3.1416 \cdot 0.105 \cdot 15})

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Depth of Water in Well when Interference among Three Well is Present Solution

Follow our step by step solution on how to calculate Depth of Water in Well when Interference among Three Well is Present?

FIRST Step Consider the formula

h w = H - (\frac{Q th \cdot \log (\frac{R^{3}}{r \cdot B^{2}}, e)}{2 \cdot π \cdot K \cdot b})

Next Step Substitute values of Variables

∴

h w = 20m - (\frac{18.397m³/s \cdot \log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}{2 \cdot π \cdot 0.105cm/s \cdot 15m})

Next Step Substitute values of Constants

∴

h w = 20m - (\frac{18.397m³/s \cdot \log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}{2 \cdot 3.1416 \cdot 0.105cm/s \cdot 15m})

Next Step Convert Units

∴

h w = 20m - (\frac{18.397m³/s \cdot \log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}{2 \cdot 3.1416 \cdot 0.001m/s \cdot 15m})

Next Step Prepare to Evaluate

∴

h w = 20 - (\frac{18.397 \cdot \log (\frac{100^{3}}{2.94 \cdot {2.93}^{2}}, e)}{2 \cdot 3.1416 \cdot 0.001 \cdot 15})

Next Step Evaluate

∴

h w = 2.44059784528212m

LAST Step Rounding Answer

∴

h w = 2.4406m

Depth of Water in Well when Interference among Three Well is Present Formula Elements

Variables

Constants

Functions

Depth of Water

Depth of Water is the depth in the well measured above the impermeable layer.

Symbol: h_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Water

Initial Piezometric Surface

The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Piezometric Surface

Discharge by Each Well at Three Well Interference

Discharge by Each Well at Three Well Interference is the sum of the individual well rates, adjusted for interference.

Symbol: Q_th

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge by Each Well at Three Well Interference

Radius of Influence

The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Influence

Radius of Well

The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Well

Distance Between Wells

Distance Between Wells refers to the center to center distance between the well.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance Between Wells

Coefficient of Permeability

Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces.

Symbol: K

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability

Aquifer Thickness

Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.

Symbol: b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Aquifer Thickness

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

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Depth of Water

Go Depth of Water in Well when Interference among Well is Present

h w = H - (\frac{Q t \cdot \log (\frac{R^{2}}{r \cdot B}, e)}{2 \cdot π \cdot K \cdot b})

Other formulas in Interference Among Wells category

Go Discharge through Each Well when Interference among Well is Present

Q t = \frac{2 \cdot π \cdot K \cdot b \cdot (H - h w)}{\log (\frac{R^{2}}{r \cdot B}, e)}

Go Coefficient of Permeability when Interference among Well is Present

K = Q t \cdot \frac{\log (\frac{R^{2}}{r \cdot B}, e)}{2 \cdot π \cdot b \cdot (H - h w)}

How to Evaluate Depth of Water in Well when Interference among Three Well is Present?

Depth of Water in Well when Interference among Three Well is Present evaluator uses Depth of Water = Initial Piezometric Surface-((Discharge by Each Well at Three Well Interference*log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)) to evaluate the Depth of Water, Depth of Water in Well when Interference among Three Well is Present formula is defined as a measure of the water level in a well when there is interference among three wells, taking into account the flow rates, distances, and other factors that affect the water level in the wells. Depth of Water is denoted by h_w symbol.

How to evaluate Depth of Water in Well when Interference among Three Well is Present using this online evaluator? To use this online evaluator for Depth of Water in Well when Interference among Three Well is Present, enter Initial Piezometric Surface (H), Discharge by Each Well at Three Well Interference (Q_th), Radius of Influence (R), Radius of Well (r), Distance Between Wells (B), Coefficient of Permeability (K) & Aquifer Thickness (b) and hit the calculate button.

FAQs on Depth of Water in Well when Interference among Three Well is Present

What is the formula to find Depth of Water in Well when Interference among Three Well is Present?

The formula of Depth of Water in Well when Interference among Three Well is Present is expressed as Depth of Water = Initial Piezometric Surface-((Discharge by Each Well at Three Well Interference*log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)). Here is an example- 2.440598 = 20-((18.397*log((100^3)/(2.94*2.93^2),e))/(2*pi*0.00105*15)).

How to calculate Depth of Water in Well when Interference among Three Well is Present?

With Initial Piezometric Surface (H), Discharge by Each Well at Three Well Interference (Q_th), Radius of Influence (R), Radius of Well (r), Distance Between Wells (B), Coefficient of Permeability (K) & Aquifer Thickness (b) we can find Depth of Water in Well when Interference among Three Well is Present using the formula - Depth of Water = Initial Piezometric Surface-((Discharge by Each Well at Three Well Interference*log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Depth of Water?

Here are the different ways to Calculate Depth of Water-

Depth of Water=Initial Piezometric Surface-((Discharge by Each Well when Two Well Interference*log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness))

Can the Depth of Water in Well when Interference among Three Well is Present be negative?

No, the Depth of Water in Well when Interference among Three Well is Present, measured in Length cannot be negative.

Which unit is used to measure Depth of Water in Well when Interference among Three Well is Present?

Depth of Water in Well when Interference among Three Well is Present is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Water in Well when Interference among Three Well is Present can be measured.

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Depth of Water in Well when Interference among Three Well is Present Formula

​GoDepth of Water in Well when Interference among Well is Present Formula

Depth of Water in Well when Interference among Three Well is Present Example

Depth of Water in Well when Interference among Three Well is Present Solution

Depth of Water in Well when Interference among Three Well is Present Formula Elements

Other Formulas to find Depth of Water

Other formulas in Interference Among Wells category

How to Evaluate Depth of Water in Well when Interference among Three Well is Present?

FAQs on Depth of Water in Well when Interference among Three Well is Present

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GoDepth of Water in Well when Interference among Well is Present Formula