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

GoRadius of Influence given Discharge in Unconfined Aquifer Formula

GoRadius of Influence given Discharge and Length of Strainer Formula

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Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table. Check FAQs

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

R_w - Radius of Influence?r - Radius of Well?K_soil - Coefficient of Permeability of Soil Particle?H_i - Initial Aquifer Thickness?h_w - Depth of Water?Q - Discharge?

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

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

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

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

7.5 = 7.5 \cdot 10^{\frac{1.36 \cdot 0.001 \cdot ({2.48}^{2} - {2.44}^{2})}{1.01}}

7.5m = 7.5m \cdot 10^{\frac{1.36 \cdot 0.001cm/s \cdot ({2.48m}^{2} - {2.44m}^{2})}{1.01m³/s}}

7.5 = 7.5 \cdot 10^{\frac{1.36 \cdot 0.001 \cdot ({2.48}^{2} - {2.44}^{2})}{1.01}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R w = 7.5m \cdot 10^{\frac{1.36 \cdot 0.001cm/s \cdot ({2.48m}^{2} - {2.44m}^{2})}{1.01m³/s}}

Next Step Convert Units

∴

R w = 7.5m \cdot 10^{\frac{1.36 \cdot 1E-5m/s \cdot ({2.48m}^{2} - {2.44m}^{2})}{1.01m³/s}}

Next Step Prepare to Evaluate

∴

R w = 7.5 \cdot 10^{\frac{1.36 \cdot 1E-5 \cdot ({2.48}^{2} - {2.44}^{2})}{1.01}}

Next Step Evaluate

∴

R w = 7.50004576367638m

LAST Step Rounding Answer

∴

R w = 7.5m

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

Variables

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

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 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

Other Formulas to find Radius of Influence

Go Radius of Influence given Discharge in Unconfined Aquifer

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

Go Radius of Influence given Discharge and Length of Strainer

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

Other formulas in Radial Distance and Radius of well category

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 for Discharge in Confined Aquifer with Base 10

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

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})}

Go Radius of Well given Coefficient of Transmissibility with Base 10

r w = \frac{R w}{10^{\frac{2.72 \cdot T envi \cdot (H i - h w)}{Q 0}}}

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

Radius of Influence given Discharge in Unconfined Aquifer with Base 10 evaluator uses Radius of Influence = Radius of Well*10^((1.36*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge) to evaluate the Radius of Influence, The Radius of Influence given Discharge in Unconfined Aquifer with Base 10 calculates the value of radius of influence when we have prior information of other parameters used. Radius of Influence is denoted by R_w symbol.

How to evaluate Radius of Influence given Discharge in Unconfined Aquifer with Base 10 using this online evaluator? To use this online evaluator for Radius of Influence given Discharge in Unconfined Aquifer with Base 10, enter Radius of Well (r), 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 Influence given Discharge in Unconfined Aquifer with Base 10

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

The formula of Radius of Influence given Discharge in Unconfined Aquifer with Base 10 is expressed as Radius of Influence = Radius of Well*10^((1.36*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge). Here is an example- 7.500116 = 7.5*10^((1.36*1E-05*(2.48^2-2.44^2))/1.01).

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

With Radius of Well (r), 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 Influence given Discharge in Unconfined Aquifer with Base 10 using the formula - Radius of Influence = Radius of Well*10^((1.36*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge).

What are the other ways to Calculate Radius of Influence?

Here are the different ways to Calculate Radius of Influence-

Radius of Influence=Radius of Well*exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)
Radius of Influence=Radius of Well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown*(Length of Strainer+(Total Drawdown/2)))/Discharge)

Can the Radius of Influence given Discharge in Unconfined Aquifer with Base 10 be negative?

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

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

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

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

​GoRadius of Influence given Discharge in Unconfined Aquifer Formula

​GoRadius of Influence given Discharge and Length of Strainer Formula

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

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

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

Other Formulas to find Radius of Influence

Other formulas in Radial Distance and Radius of well category

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

FAQs on Radius of Influence given Discharge in Unconfined Aquifer with Base 10

Variable Name

GoRadius of Influence given Discharge in Unconfined Aquifer Formula

GoRadius of Influence given Discharge and Length of Strainer Formula