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

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GoRadius of Influence given Discharge in Confined Aquifer 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 10^{\frac{2.72 \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?

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

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Here is how the Radius of Influence given Discharge in Confined Aquifer with Base 10 equation looks like with Values.

Here is how the Radius of Influence given Discharge in Confined Aquifer with Base 10 equation looks like with Units.

Here is how the Radius of Influence given Discharge in Confined Aquifer with Base 10 equation looks like.

7.5089 = 7.5 \cdot 10^{\frac{2.72 \cdot 10 \cdot 2.36 \cdot (2.48 - 2.44)}{50}}

7.5089m = 7.5m \cdot 10^{\frac{2.72 \cdot 10cm/s \cdot 2.36m \cdot (2.48m - 2.44m)}{50m³/s}}

7.5089 = 7.5 \cdot 10^{\frac{2.72 \cdot 10 \cdot 2.36 \cdot (2.48 - 2.44)}{50}}

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

Follow our step by step solution on how to calculate Radius of Influence given Discharge in Confined Aquifer with Base 10?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R id = 7.5m \cdot 10^{\frac{2.72 \cdot 10cm/s \cdot 2.36m \cdot (2.48m - 2.44m)}{50m³/s}}

Next Step Convert Units

∴

R id = 7.5m \cdot 10^{\frac{2.72 \cdot 0.1m/s \cdot 2.36m \cdot (2.48m - 2.44m)}{50m³/s}}

Next Step Prepare to Evaluate

∴

R id = 7.5 \cdot 10^{\frac{2.72 \cdot 0.1 \cdot 2.36 \cdot (2.48 - 2.44)}{50}}

Next Step Evaluate

∴

R id = 7.50887369790134m

LAST Step Rounding Answer

∴

R id = 7.5089m

Radius of Influence given Discharge in Confined Aquifer with Base 10 Formula Elements

Variables

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.

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.

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.

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.

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.

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.

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.

Credits

Creator Image

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Formula and 2100+ more formulas!

Verifier Image

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Formula and 2600+ more formulas!

Other Formulas to find Radius of Influence given Discharge

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})

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}}

See More

How to Evaluate Radius of Influence given Discharge in Confined Aquifer with Base 10?

Radius of Influence given Discharge in Confined Aquifer with Base 10 evaluator uses 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) to evaluate the Radius of Influence given Discharge, The Radius of Influence given Discharge in Confined Aquifer with Base 10 formula is defined as the value of radius of influence 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 with Base 10 using this online evaluator? To use this online evaluator for Radius of Influence given Discharge in Confined Aquifer with Base 10, 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 with Base 10

What is the formula to find Radius of Influence given Discharge in Confined Aquifer with Base 10?

The formula of Radius of Influence given Discharge in Confined Aquifer with Base 10 is expressed as 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). Here is an example- 7.508874 = 7.5*10^((2.72*0.1*2.36*(2.48-2.44))/50).

How to calculate Radius of Influence given Discharge in Confined Aquifer with Base 10?

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 with Base 10 using the formula - 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).

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*exp((2*pi*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 with Base 10 be negative?

No, the Radius of Influence given Discharge in Confined Aquifer with Base 10, measured in Length cannot be negative.

Which unit is used to measure Radius of Influence given Discharge in Confined Aquifer with Base 10?

Radius of Influence given Discharge in Confined Aquifer with Base 10 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 with Base 10 can be measured.

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