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Radius of Influence given Discharge and Length of Strainer Formula

GoRadius of Influence given Discharge in Unconfined Aquifer Formula

GoRadius of Influence given Discharge in Unconfined Aquifer with Base 10 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{2.72 \cdot K WH \cdot s t \cdot (L + (\frac{s t}{2}))}{Q}}

R_w - Radius of Influence?r - Radius of Well?K_WH - Coefficient of Permeability in Well Hydraulics?s_t - Total Drawdown?L - Length of Strainer?Q - Discharge?

Radius of Influence given Discharge and Length of Strainer Example

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

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

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

25.994 = 7.5 \cdot 10^{\frac{2.72 \cdot 10 \cdot 0.83 \cdot (2 + (\frac{0.83}{2}))}{1.01}}

25.994m = 7.5m \cdot 10^{\frac{2.72 \cdot 10cm/s \cdot 0.83m \cdot (2m + (\frac{0.83m}{2}))}{1.01m³/s}}

25.994 = 7.5 \cdot 10^{\frac{2.72 \cdot 10 \cdot 0.83 \cdot (2 + (\frac{0.83}{2}))}{1.01}}

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Radius of Influence given Discharge and Length of Strainer Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R w = 7.5m \cdot 10^{\frac{2.72 \cdot 10cm/s \cdot 0.83m \cdot (2m + (\frac{0.83m}{2}))}{1.01m³/s}}

Next Step Convert Units

∴

R w = 7.5m \cdot 10^{\frac{2.72 \cdot 0.1m/s \cdot 0.83m \cdot (2m + (\frac{0.83m}{2}))}{1.01m³/s}}

Next Step Prepare to Evaluate

∴

R w = 7.5 \cdot 10^{\frac{2.72 \cdot 0.1 \cdot 0.83 \cdot (2 + (\frac{0.83}{2}))}{1.01}}

Next Step Evaluate

∴

R w = 25.9940254986342m

LAST Step Rounding Answer

∴

R w = 25.994m

Radius of Influence given Discharge and Length of Strainer 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 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.

Formulas to find Coefficient of Permeability in Well Hydraulics

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 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 in Unconfined Aquifer with Base 10

R w = r \cdot 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 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 and Length of Strainer?

Radius of Influence given Discharge and Length of Strainer evaluator uses Radius of Influence = Radius of Well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown*(Length of Strainer+(Total Drawdown/2)))/Discharge) to evaluate the Radius of Influence, The Radius of Influence given Discharge and Length of Strainer calculates 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 and Length of Strainer using this online evaluator? To use this online evaluator for Radius of Influence given Discharge and Length of Strainer, enter Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH), Total Drawdown (s_t), Length of Strainer (L) & Discharge (Q) and hit the calculate button.

FAQs on Radius of Influence given Discharge and Length of Strainer

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

The formula of Radius of Influence given Discharge and Length of Strainer is expressed as Radius of Influence = Radius of Well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown*(Length of Strainer+(Total Drawdown/2)))/Discharge). Here is an example- 25.99403 = 7.5*10^((2.72*0.1*0.83*(2+(0.83/2)))/1.01).

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

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

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

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

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

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

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Radius of Influence given Discharge and Length of Strainer Formula

​GoRadius of Influence given Discharge in Unconfined Aquifer Formula

​GoRadius of Influence given Discharge in Unconfined Aquifer with Base 10 Formula

Radius of Influence given Discharge and Length of Strainer Example

Radius of Influence given Discharge and Length of Strainer Solution

Radius of Influence given Discharge and Length of Strainer 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 and Length of Strainer?

FAQs on Radius of Influence given Discharge and Length of Strainer

Variable Name

GoRadius of Influence given Discharge in Unconfined Aquifer Formula

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