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Radius of Influence given Confined Aquifer Discharge Formula

GoRadius of Influence given Confined Aquifer Discharge with Base 10 Formula

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Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table. Check FAQs

R w = r \cdot \exp (\frac{2 \cdot π \cdot K WH \cdot b p \cdot s t}{Q li})

R_w - Radius of Influence?r - Radius of Well?K_WH - Coefficient of Permeability in Well Hydraulics?b_p - Aquifer Thickness During Pumping?s_t - Total Drawdown?Q_li - Discharge of Liquid?π - Archimedes' constant?

Radius of Influence given Confined Aquifer Discharge Example

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Here is how the Radius of Influence given Confined Aquifer Discharge equation looks like with Values.

Here is how the Radius of Influence given Confined Aquifer Discharge equation looks like with Units.

Here is how the Radius of Influence given Confined Aquifer Discharge equation looks like.

8.1413 = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 10 \cdot 2.36 \cdot 0.83}{15})

8.1413m = 7.5m \cdot \exp (\frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m \cdot 0.83m}{15m³/s})

8.1413 = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 10 \cdot 2.36 \cdot 0.83}{15})

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Radius of Influence given Confined Aquifer Discharge Solution

Follow our step by step solution on how to calculate Radius of Influence given Confined Aquifer Discharge?

FIRST Step Consider the formula

R w = r \cdot \exp (\frac{2 \cdot π \cdot K WH \cdot b p \cdot s t}{Q li})

Next Step Substitute values of Variables

∴

R w = 7.5m \cdot \exp (\frac{2 \cdot π \cdot 10cm/s \cdot 2.36m \cdot 0.83m}{15m³/s})

Next Step Substitute values of Constants

∴

R w = 7.5m \cdot \exp (\frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m \cdot 0.83m}{15m³/s})

Next Step Convert Units

∴

R w = 7.5m \cdot \exp (\frac{2 \cdot 3.1416 \cdot 0.1m/s \cdot 2.36m \cdot 0.83m}{15m³/s})

Next Step Prepare to Evaluate

∴

R w = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 0.1 \cdot 2.36 \cdot 0.83}{15})

Next Step Evaluate

∴

R w = 8.14132581326173m

LAST Step Rounding Answer

∴

R w = 8.1413m

Radius of Influence given Confined Aquifer Discharge Formula Elements

Variables

Constants

Functions

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

Radius of Well

Radius of Well is defined as the distance from center of well to its outer boundary.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Well

Coefficient of Permeability in Well Hydraulics

Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.

Symbol: K_WH

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability in Well Hydraulics

Aquifer Thickness During Pumping

Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.

Symbol: b_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Aquifer Thickness During Pumping

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

Discharge of Liquid

Discharge of Liquid is the rate of flow of a liquid.

Symbol: Q_li

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge of Liquid

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

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other Formulas to find Radius of Influence

Go Radius of Influence given Confined Aquifer Discharge with Base 10

R w = r \cdot 10^{\frac{2.72 \cdot K WH \cdot b p \cdot s t}{Q li}}

Other formulas in Radius of Influence category

Go Radius of Influence given Discharge in Confined Aquifer

R id = r \cdot \exp (\frac{2 \cdot π \cdot K WH \cdot b p \cdot (H i - h w)}{Q 0})

Go Radius of Influence given Discharge in Confined Aquifer with Base 10

R id = r \cdot 10^{\frac{2.72 \cdot K WH \cdot b p \cdot (H i - h w)}{Q 0}}

Go Radius of Influence given Coefficient of Transmissibility

r ic = r \cdot \exp (\frac{2 \cdot π \cdot T envi \cdot (H i - h w)}{Q 0})

Go Radius of Influence given Coefficient of Transmissibility with Base 10

r ic = r \cdot 10^{\frac{2.72 \cdot T envi \cdot (H i - h w)}{Q li}}

How to Evaluate Radius of Influence given Confined Aquifer Discharge?

Radius of Influence given Confined Aquifer Discharge evaluator uses Radius of Influence = Radius of Well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge of Liquid) to evaluate the Radius of Influence, The Radius of Influence given Confined Aquifer Discharge is defined as the value of radius of influence when we have prior information of other parameters used. Radius of Influence is denoted by R_w symbol.

How to evaluate Radius of Influence given Confined Aquifer Discharge using this online evaluator? To use this online evaluator for Radius of Influence given Confined Aquifer Discharge, enter Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Total Drawdown (s_t) & Discharge of Liquid (Q_li) and hit the calculate button.

FAQs on Radius of Influence given Confined Aquifer Discharge

What is the formula to find Radius of Influence given Confined Aquifer Discharge?

The formula of Radius of Influence given Confined Aquifer Discharge is expressed as Radius of Influence = Radius of Well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge of Liquid). Here is an example- 8.141326 = 7.5*exp((2*pi*0.1*2.36*0.83)/15).

How to calculate Radius of Influence given Confined Aquifer Discharge?

With Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Total Drawdown (s_t) & Discharge of Liquid (Q_li) we can find Radius of Influence given Confined Aquifer Discharge using the formula - Radius of Influence = Radius of Well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge of Liquid). This formula also uses Archimedes' constant and Exponential Growth (exp) function(s).

What are the other ways to Calculate Radius of Influence?

Here are the different ways to Calculate Radius of Influence-

Radius of Influence=Radius of Well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge of Liquid)

Can the Radius of Influence given Confined Aquifer Discharge be negative?

No, the Radius of Influence given Confined Aquifer Discharge, measured in Length cannot be negative.

Which unit is used to measure Radius of Influence given Confined Aquifer Discharge?

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

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Radius of Influence given Confined Aquifer Discharge Formula

​GoRadius of Influence given Confined Aquifer Discharge with Base 10 Formula

Radius of Influence given Confined Aquifer Discharge Example

Radius of Influence given Confined Aquifer Discharge Solution

Radius of Influence given Confined Aquifer Discharge Formula Elements

Other Formulas to find Radius of Influence

Other formulas in Radius of Influence category

How to Evaluate Radius of Influence given Confined Aquifer Discharge?

FAQs on Radius of Influence given Confined Aquifer Discharge

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GoRadius of Influence given Confined Aquifer Discharge with Base 10 Formula