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Radius of Well given Discharge and Length of Strainer Formula

GoRadius of Well based on Discharge in Unconfined Aquifer Formula

GoRadius of Well based on Discharge in Unconfined Aquifer with Base 10 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}{10^{\frac{2.72 \cdot K soil \cdot s t \cdot (L + (\frac{s t}{2}))}{Q}}}

r_w - Radius of Well given Discharge?R_w - Radius of Influence?K_soil - Coefficient of Permeability of Soil Particle?s_t - Total Drawdown?L - Length of Strainer?Q - Discharge?

Radius of Well given Discharge and Length of Strainer Example

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Here is how the Radius of Well given Discharge and Length of Strainer equation looks like with Values.

Here is how the Radius of Well given Discharge and Length of Strainer equation looks like with Units.

Here is how the Radius of Well given Discharge and Length of Strainer equation looks like.

8.5989 = \frac{8.6}{10^{\frac{2.72 \cdot 0.001 \cdot 0.83 \cdot (2 + (\frac{0.83}{2}))}{1.01}}}

8.5989m = \frac{8.6m}{10^{\frac{2.72 \cdot 0.001cm/s \cdot 0.83m \cdot (2m + (\frac{0.83m}{2}))}{1.01m³/s}}}

8.5989 = \frac{8.6}{10^{\frac{2.72 \cdot 0.001 \cdot 0.83 \cdot (2 + (\frac{0.83}{2}))}{1.01}}}

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Radius of Well given Discharge and Length of Strainer Solution

Follow our step by step solution on how to calculate Radius of Well given Discharge and Length of Strainer?

FIRST Step Consider the formula

r w = \frac{R w}{10^{\frac{2.72 \cdot K soil \cdot s t \cdot (L + (\frac{s t}{2}))}{Q}}}

Next Step Substitute values of Variables

∴

r w = \frac{8.6m}{10^{\frac{2.72 \cdot 0.001cm/s \cdot 0.83m \cdot (2m + (\frac{0.83m}{2}))}{1.01m³/s}}}

Next Step Convert Units

∴

r w = \frac{8.6m}{10^{\frac{2.72 \cdot 1E-5m/s \cdot 0.83m \cdot (2m + (\frac{0.83m}{2}))}{1.01m³/s}}}

Next Step Prepare to Evaluate

∴

r w = \frac{8.6}{10^{\frac{2.72 \cdot 1E-5 \cdot 0.83 \cdot (2 + (\frac{0.83}{2}))}{1.01}}}

Next Step Evaluate

∴

r w = 8.59893111764627m

LAST Step Rounding Answer

∴

r w = 8.5989m

Radius of Well given Discharge and Length of Strainer 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.

Formulas to find Radius of Well given Discharge

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

Coefficient of Permeability of Soil Particle

Coefficient of Permeability of Soil Particle describes how easily a liquid will move through the soil.

Symbol: K_soil

Measurement: SpeedUnit: cm/s

Note: Value can be positive or negative.

Formulas to find Coefficient of Permeability of Soil Particle

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

Length of Strainer

Length of Strainer is measured from bottom of aquifer to top of it.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Strainer

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.

Formulas to find Discharge

Other Formulas to find Radius of Well given Discharge

Go Radius of Well based on Discharge in Unconfined Aquifer

r w = \frac{R w}{\exp (\frac{π \cdot K soil \cdot ({H i}^{2} - {h w}^{2})}{Q})}

Go Radius of Well based on Discharge in Unconfined Aquifer with Base 10

r w = \frac{R w}{10^{\frac{1.36 \cdot K soil \cdot ({H i}^{2} - {h w}^{2})}{Q}}}

Other formulas in Radial Distance and Radius of well category

Go Radial Distance of Well 1 based on Discharge of Two Wells under Consideration

R 1 = \frac{r 2}{\exp (\frac{π \cdot K soil \cdot ({h 2}^{2} - {h 1}^{2})}{Q})}

Go Radial Distance of Well 2 based on Discharge of Two Wells under Consideration

R 2 = r 1 \cdot \exp (\frac{π \cdot K soil \cdot ({h 2}^{2} - {h 1}^{2})}{Q})

Go Radial Distance of Well 1 based on Discharge from Two Wells with Base 10

R 1 = \frac{r 2}{10^{\frac{1.36 \cdot K soil \cdot ({h 2}^{2} - {h 1}^{2})}{Q}}}

Go Radial Distance of Well 2 based on Discharge from Two Wells with Base 10

R 2 = r 1 \cdot 10^{\frac{1.36 \cdot K soil \cdot ({h 2}^{2} - {h 1}^{2})}{Q}}

How to Evaluate Radius of Well given Discharge and Length of Strainer?

Radius of Well given Discharge and Length of Strainer evaluator uses Radius of Well given Discharge = Radius of Influence/(10^((2.72*Coefficient of Permeability of Soil Particle*Total Drawdown*(Length of Strainer+(Total Drawdown/2)))/Discharge)) to evaluate the Radius of Well given Discharge, The Radius of Well given Discharge and Length of Strainer formula is defined as the calculation of the value of radius of well when we have prior information of discharge and length of strainer. Radius of Well given Discharge is denoted by r_w symbol.

How to evaluate Radius of Well given Discharge and Length of Strainer using this online evaluator? To use this online evaluator for Radius of Well given Discharge and Length of Strainer, enter Radius of Influence (R_w), Coefficient of Permeability of Soil Particle (K_soil), Total Drawdown (s_t), Length of Strainer (L) & Discharge (Q) and hit the calculate button.

FAQs on Radius of Well given Discharge and Length of Strainer

What is the formula to find Radius of Well given Discharge and Length of Strainer?

The formula of Radius of Well given Discharge and Length of Strainer is expressed as Radius of Well given Discharge = Radius of Influence/(10^((2.72*Coefficient of Permeability of Soil Particle*Total Drawdown*(Length of Strainer+(Total Drawdown/2)))/Discharge)). Here is an example- 8.598931 = 8.6/(10^((2.72*1E-05*0.83*(2+(0.83/2)))/1.01)).

How to calculate Radius of Well given Discharge and Length of Strainer?

With Radius of Influence (R_w), Coefficient of Permeability of Soil Particle (K_soil), Total Drawdown (s_t), Length of Strainer (L) & Discharge (Q) we can find Radius of Well given Discharge and Length of Strainer using the formula - Radius of Well given Discharge = Radius of Influence/(10^((2.72*Coefficient of Permeability of Soil Particle*Total Drawdown*(Length of Strainer+(Total Drawdown/2)))/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((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)
Radius of Well given Discharge=Radius of Influence/10^((1.36*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)

Can the Radius of Well given Discharge and Length of Strainer be negative?

No, the Radius of Well given Discharge and Length of Strainer, measured in Length cannot be negative.

Which unit is used to measure Radius of Well given Discharge and Length of Strainer?

Radius of Well given Discharge and Length of Strainer 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 given Discharge and Length of Strainer can be measured.

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Radius of Well given Discharge and Length of Strainer Formula

​GoRadius of Well based on Discharge in Unconfined Aquifer Formula

​GoRadius of Well based on Discharge in Unconfined Aquifer with Base 10 Formula

Radius of Well given Discharge and Length of Strainer Example

Radius of Well given Discharge and Length of Strainer Solution

Radius of Well given Discharge and Length of Strainer Formula Elements

Other Formulas to find Radius of Well given Discharge

Other formulas in Radial Distance and Radius of well category

How to Evaluate Radius of Well given Discharge and Length of Strainer?

FAQs on Radius of Well given Discharge and Length of Strainer

Variable Name

GoRadius of Well based on Discharge in Unconfined Aquifer Formula

GoRadius of Well based on Discharge in Unconfined Aquifer with Base 10 Formula