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Radius of Influence given Discharge in Confined Aquifer Formula

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

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Radius of Influence given Discharge is the distance from a pumping well to the point where the drawdown becomes negligible or zero, given discharge. Check FAQs

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

R_id - Radius of Influence given Discharge?r - Radius of Well?K_WH - Coefficient of Permeability in Well Hydraulics?b_p - Aquifer Thickness During Pumping?H_i - Initial Aquifer Thickness?h_w - Depth of Water?Q₀ - Discharge at Time t=0?π - Archimedes' constant?

Radius of Influence given Discharge in Confined Aquifer Example

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

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

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

7.5089 = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 10 \cdot 2.36 \cdot (2.48 - 2.44)}{50})

7.5089m = 7.5m \cdot \exp (\frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m \cdot (2.48m - 2.44m)}{50m³/s})

7.5089 = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 10 \cdot 2.36 \cdot (2.48 - 2.44)}{50})

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Radius of Influence given Discharge in Confined Aquifer Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R id = 7.5m \cdot \exp (\frac{2 \cdot π \cdot 10cm/s \cdot 2.36m \cdot (2.48m - 2.44m)}{50m³/s})

Next Step Substitute values of Constants

∴

R id = 7.5m \cdot \exp (\frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m \cdot (2.48m - 2.44m)}{50m³/s})

Next Step Convert Units

∴

R id = 7.5m \cdot \exp (\frac{2 \cdot 3.1416 \cdot 0.1m/s \cdot 2.36m \cdot (2.48m - 2.44m)}{50m³/s})

Next Step Prepare to Evaluate

∴

R id = 7.5 \cdot \exp (\frac{2 \cdot 3.1416 \cdot 0.1 \cdot 2.36 \cdot (2.48 - 2.44)}{50})

Next Step Evaluate

∴

R id = 7.50890226957814m

LAST Step Rounding Answer

∴

R id = 7.5089m

Radius of Influence given Discharge in Confined Aquifer Formula Elements

Variables

Constants

Functions

Radius of Influence given Discharge

Radius of Influence given Discharge is the distance from a pumping well to the point where the drawdown becomes negligible or zero, given discharge.

Symbol: R_id

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Influence given Discharge

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

Initial Aquifer Thickness

Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Aquifer Thickness

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

Discharge at Time t=0

Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.

Symbol: Q₀

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge at Time t=0

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 given Discharge

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}}

Other formulas in Radius of Influence category

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 Discharge in Confined Aquifer?

Radius of Influence given Discharge in Confined Aquifer evaluator uses Radius of Influence given Discharge = Radius of Well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0) to evaluate the Radius of Influence given Discharge, The Radius of Influence given Discharge in Confined Aquifer formula is defined as the calculation of the value of the distance from a pumping well to the point where the drawdown becomes negligible or zero, when we have prior information of discharge in confined aquifer. Radius of Influence given Discharge is denoted by R_id symbol.

How to evaluate Radius of Influence given Discharge in Confined Aquifer using this online evaluator? To use this online evaluator for Radius of Influence given Discharge in Confined Aquifer, enter Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge at Time t=0 (Q₀) and hit the calculate button.

FAQs on Radius of Influence given Discharge in Confined Aquifer

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

The formula of Radius of Influence given Discharge in Confined Aquifer is expressed as Radius of Influence given Discharge = Radius of Well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0). Here is an example- 7.508902 = 7.5*exp((2*pi*0.1*2.36*(2.48-2.44))/50).

How to calculate Radius of Influence given Discharge in Confined Aquifer?

With Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge at Time t=0 (Q₀) we can find Radius of Influence given Discharge in Confined Aquifer using the formula - Radius of Influence given Discharge = Radius of Well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0). This formula also uses Archimedes' constant and Exponential Growth (exp) function(s).

What are the other ways to Calculate Radius of Influence given Discharge?

Here are the different ways to Calculate Radius of Influence given Discharge-

Radius of Influence given Discharge=Radius of Well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)

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

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

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

Radius of Influence given Discharge in Confined Aquifer 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 Discharge in Confined Aquifer can be measured.

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Radius of Influence given Discharge in Confined Aquifer Formula

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

Radius of Influence given Discharge in Confined Aquifer Example

Radius of Influence given Discharge in Confined Aquifer Solution

Radius of Influence given Discharge in Confined Aquifer Formula Elements

Other Formulas to find Radius of Influence given Discharge

Other formulas in Radius of Influence category

How to Evaluate Radius of Influence given Discharge in Confined Aquifer?

FAQs on Radius of Influence given Discharge in Confined Aquifer

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