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Radius of Well for Discharge in Confined Aquifer with Base 10 Formula

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GoRadius of Well given Discharge in Confined Aquifer Formula

3

GoRadius of Well given Coefficient of Transmissibility Formula

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Radius of Well given Discharge is the radial distance from the center of the well to the outer boundary of the aquifer, where the effects of pumping or water withdrawal are observed. Check FAQs

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

r_w - Radius of Well given Discharge?R_w - Radius of Influence?K_swh - Standard Coefficient of Permeability?b - Thickness of Aquifer?H_i - Initial Aquifer Thickness?h_w - Depth of Water?Q - Discharge?

Radius of Well for Discharge in Confined Aquifer with Base 10 Example

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

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

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

8.6717 = \frac{8.6}{\frac{10^{2.72 \cdot 0.0022 \cdot 3 \cdot (2.48 - 2.44)}}{1.01}}

8.6717m = \frac{8.6m}{\frac{10^{2.72 \cdot 0.0022 \cdot 3m \cdot (2.48m - 2.44m)}}{1.01m³/s}}

8.6717 = \frac{8.6}{\frac{10^{2.72 \cdot 0.0022 \cdot 3 \cdot (2.48 - 2.44)}}{1.01}}

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Home » Engineering » Civil » Environmental Engineering » Radius of Well for Discharge in Confined Aquifer with Base 10

Radius of Well for Discharge in Confined Aquifer with Base 10 Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r w = \frac{8.6m}{\frac{10^{2.72 \cdot 0.0022 \cdot 3m \cdot (2.48m - 2.44m)}}{1.01m³/s}}

Next Step Prepare to Evaluate

∴

r w = \frac{8.6}{\frac{10^{2.72 \cdot 0.0022 \cdot 3 \cdot (2.48 - 2.44)}}{1.01}}

Next Step Evaluate

∴

r w = 8.67165008415696m

LAST Step Rounding Answer

∴

r w = 8.6717m

Radius of Well for Discharge in Confined Aquifer with Base 10 Formula Elements

Variables

Radius of Well given Discharge

Radius of Well given Discharge is the radial distance from the center of the well to the outer boundary of the aquifer, where the effects of pumping or water withdrawal are observed.

Symbol: r_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

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.

Standard Coefficient of Permeability

Standard Coefficient of Permeability is an evaluation index of ground permeability. The larger the pores in the soil, the looser the soil mass and the stronger the soil permeability.

Symbol: K_swh

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Thickness of Aquifer

The Thickness of Aquifer vertical thickness of the hydro geologically defined aquifer in which the pore spaces of the rock forming the aquifer are filled with water.

Symbol: b

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

Discharge is the flow rate of water that is extracted from or injected into a well.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

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 Well given Discharge

Go Radius of Well given Discharge in Confined Aquifer

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

Go Radius of Well given Coefficient of Transmissibility

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

Other formulas in Radial Distance and Radius of well category

Go Radius of Well given Confined Aquifer Discharge

r' = \frac{R w}{\exp (\frac{2 \cdot π \cdot K WH \cdot b p \cdot s t}{Q})}

Go Radius of Well given Confined Aquifer Discharge with Base 10

r' = \frac{R w}{10^{\frac{2.72 \cdot K WH \cdot b p \cdot s t}{Q}}}

See More

How to Evaluate Radius of Well for Discharge in Confined Aquifer with Base 10?

Radius of Well for Discharge in Confined Aquifer with Base 10 evaluator uses Radius of Well given Discharge = Radius of Influence/(10^(2.72*Standard Coefficient of Permeability*Thickness of Aquifer*(Initial Aquifer Thickness-Depth of Water))/Discharge) to evaluate the Radius of Well given Discharge, The Radius of Well for Discharge in Confined Aquifer with Base 10 formula is defined as the value of radius of well when we have prior information of discharge. Radius of Well given Discharge is denoted by r_w symbol.

How to evaluate Radius of Well for Discharge in Confined Aquifer with Base 10 using this online evaluator? To use this online evaluator for Radius of Well for Discharge in Confined Aquifer with Base 10, enter Radius of Influence (R_w), Standard Coefficient of Permeability (K_swh), Thickness of Aquifer (b), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge (Q) and hit the calculate button.

FAQs on Radius of Well for Discharge in Confined Aquifer with Base 10

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

The formula of Radius of Well for Discharge in Confined Aquifer with Base 10 is expressed as Radius of Well given Discharge = Radius of Influence/(10^(2.72*Standard Coefficient of Permeability*Thickness of Aquifer*(Initial Aquifer Thickness-Depth of Water))/Discharge). Here is an example- 8.67165 = 8.6/(10^(2.72*0.0022*3*(2.48-2.44))/1.01).

How to calculate Radius of Well for Discharge in Confined Aquifer with Base 10?

With Radius of Influence (R_w), Standard Coefficient of Permeability (K_swh), Thickness of Aquifer (b), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge (Q) we can find Radius of Well for Discharge in Confined Aquifer with Base 10 using the formula - Radius of Well given Discharge = Radius of Influence/(10^(2.72*Standard Coefficient of Permeability*Thickness of Aquifer*(Initial Aquifer Thickness-Depth of Water))/Discharge).

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

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

Radius of Well given Discharge=Radius of Influence/exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
Radius of Well given Discharge=Radius of Influence/exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
Radius of Well given Discharge=Radius of Influence/10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)

Can the Radius of Well for Discharge in Confined Aquifer with Base 10 be negative?

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

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

Radius of Well for 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 Well for Discharge in Confined Aquifer with Base 10 can be measured.

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