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Radius of Well based on Discharge in Unconfined Aquifer Formula

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

GoRadius of Well given Discharge and Length of Strainer 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}{\exp (\frac{π \cdot K soil \cdot ({H i}^{2} - {h w}^{2})}{Q})}

r_w - Radius of Well given Discharge?R_w - Radius of Influence?K_soil - Coefficient of Permeability of Soil Particle?H_i - Initial Aquifer Thickness?h_w - Depth of Water?Q - Discharge?π - Archimedes' constant?

Radius of Well based on Discharge in Unconfined Aquifer Example

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Here is how the Radius of Well based on Discharge in Unconfined Aquifer equation looks like with Values.

Here is how the Radius of Well based on Discharge in Unconfined Aquifer equation looks like with Units.

Here is how the Radius of Well based on Discharge in Unconfined Aquifer equation looks like.

8.5999 = \frac{8.6}{\exp (\frac{3.1416 \cdot 0.001 \cdot ({2.48}^{2} - {2.44}^{2})}{1.01})}

8.5999m = \frac{8.6m}{\exp (\frac{3.1416 \cdot 0.001cm/s \cdot ({2.48m}^{2} - {2.44m}^{2})}{1.01m³/s})}

8.5999 = \frac{8.6}{\exp (\frac{3.1416 \cdot 0.001 \cdot ({2.48}^{2} - {2.44}^{2})}{1.01})}

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Radius of Well based on Discharge in Unconfined Aquifer Solution

Follow our step by step solution on how to calculate Radius of Well based on Discharge in Unconfined Aquifer?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r w = \frac{8.6m}{\exp (\frac{π \cdot 0.001cm/s \cdot ({2.48m}^{2} - {2.44m}^{2})}{1.01m³/s})}

Next Step Substitute values of Constants

∴

r w = \frac{8.6m}{\exp (\frac{3.1416 \cdot 0.001cm/s \cdot ({2.48m}^{2} - {2.44m}^{2})}{1.01m³/s})}

Next Step Convert Units

∴

r w = \frac{8.6m}{\exp (\frac{3.1416 \cdot 1E-5m/s \cdot ({2.48m}^{2} - {2.44m}^{2})}{1.01m³/s})}

Next Step Prepare to Evaluate

∴

r w = \frac{8.6}{\exp (\frac{3.1416 \cdot 1E-5 \cdot ({2.48}^{2} - {2.44}^{2})}{1.01})}

Next Step Evaluate

∴

r w = 8.59994735577762m

LAST Step Rounding Answer

∴

r w = 8.5999m

Radius of Well based on Discharge in Unconfined Aquifer Formula Elements

Variables

Constants

Functions

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

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

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

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 Well given Discharge

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}}}

Go Radius of Well given Discharge and Length of Strainer

r w = \frac{R w}{10^{\frac{2.72 \cdot K soil \cdot s t \cdot (L + (\frac{s t}{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 based on Discharge in Unconfined Aquifer?

Radius of Well based on Discharge in Unconfined Aquifer evaluator uses 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) to evaluate the Radius of Well given Discharge, The Radius of Well based on Discharge in Unconfined Aquifer formula is defined as the calculation of the value of radius of well when we have prior information of discharge in unconfined aquifer. Radius of Well given Discharge is denoted by r_w symbol.

How to evaluate Radius of Well based on Discharge in Unconfined Aquifer using this online evaluator? To use this online evaluator for Radius of Well based on Discharge in Unconfined Aquifer, enter Radius of Influence (R_w), Coefficient of Permeability of Soil Particle (K_soil), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge (Q) and hit the calculate button.

FAQs on Radius of Well based on Discharge in Unconfined Aquifer

What is the formula to find Radius of Well based on Discharge in Unconfined Aquifer?

The formula of Radius of Well based on Discharge in Unconfined Aquifer is expressed as 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). Here is an example- 8.599947 = 8.6/exp((pi*1E-05*(2.48^2-2.44^2))/1.01).

How to calculate Radius of Well based on Discharge in Unconfined Aquifer?

With Radius of Influence (R_w), Coefficient of Permeability of Soil Particle (K_soil), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge (Q) we can find Radius of Well based on Discharge in Unconfined Aquifer using the formula - 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). This formula also uses Archimedes' constant and Exponential Growth (exp) function(s).

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/10^((1.36*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)
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))

Can the Radius of Well based on Discharge in Unconfined Aquifer be negative?

No, the Radius of Well based on Discharge in Unconfined Aquifer, measured in Length cannot be negative.

Which unit is used to measure Radius of Well based on Discharge in Unconfined Aquifer?

Radius of Well based on Discharge in Unconfined 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 Well based on Discharge in Unconfined Aquifer can be measured.

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Radius of Well based on Discharge in Unconfined Aquifer Formula

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

​GoRadius of Well given Discharge and Length of Strainer Formula

Radius of Well based on Discharge in Unconfined Aquifer Example

Radius of Well based on Discharge in Unconfined Aquifer Solution

Radius of Well based on Discharge in Unconfined Aquifer 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 based on Discharge in Unconfined Aquifer?

FAQs on Radius of Well based on Discharge in Unconfined Aquifer

Variable Name

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

GoRadius of Well given Discharge and Length of Strainer Formula