Radius of Well given Discharge and Length of Strainer Calculator

✖Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence [R_w]			+10% -10%
✖Coefficient of Permeability of Soil Particle describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability of Soil Particle [K_soil]			+10% -10%
✖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.ⓘ Total Drawdown [s_t]			+10% -10%
✖Length of Strainer is measured from bottom of aquifer to top of it.ⓘ Length of Strainer [L]			+10% -10%
✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+10% -10%

✖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.ⓘ Radius of Well given Discharge and Length of Strainer [r_w]

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Formula

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Radius of Well given Discharge and Length of Strainer

Formula

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

Example

8.598931 m = \frac{8.6 m}{10^{\frac{2.72 \cdot 0.001 cm/s \cdot 0.83 m \cdot (2 m + (\frac{0.83 m}{2}))}{1.01 m³/s}}}

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Radius of Well given Discharge and Length of Strainer Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
r_w = R_w/(10^((2.72*K_soil*s_t*(L+(s_t/2)))/Q))
This formula uses 6 Variables

Variables Used

Radius of Well given Discharge - (Measured in Meter) - 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.
Radius of Influence - (Measured in Meter) - Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.
Coefficient of Permeability of Soil Particle - (Measured in Meter per Second) - Coefficient of Permeability of Soil Particle describes how easily a liquid will move through the soil.
Total Drawdown - (Measured in Meter) - 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.
Length of Strainer - (Measured in Meter) - Length of Strainer is measured from bottom of aquifer to top of it.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.

STEP 1: Convert Input(s) to Base Unit

Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Coefficient of Permeability of Soil Particle: 0.001 Centimeter per Second --> 1E-05 Meter per Second (Check conversion here)
Total Drawdown: 0.83 Meter --> 0.83 Meter No Conversion Required
Length of Strainer: 2 Meter --> 2 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_w = R_w/(10^((2.72*K_soil*s_t*(L+(s_t/2)))/Q)) --> 8.6/(10^((2.72*1E-05*0.83*(2+(0.83/2)))/1.01))

Evaluating ... ...

r_w = 8.59893111764627

STEP 3: Convert Result to Output's Unit

8.59893111764627 Meter --> No Conversion Required

FINAL ANSWER

8.59893111764627 ≈ 8.598931 Meter <-- Radius of Well given Discharge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources Ground Water » Well Hydraulics » Unconfined Aquifer » Radial Distance and Radius of well » Radius of Well given Discharge and Length of Strainer

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Radial Distance and Radius of well Calculators

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

Go Radial Distance at Well 2 = Radial Distance at Observation Well 1*exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)

Radius of Well based on Discharge in Unconfined Aquifer

Go 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)

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

Go Radial Distance 1 = Radial Distance at Observation Well 2/exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)

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

Go 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 and Length of Strainer Formula

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

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

Radius of Well given Discharge and Length of Strainer calculator 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 calculate 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 calculate Radius of Well given Discharge and Length of Strainer using this online calculator? To use this online calculator 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. Here is how the Radius of Well given Discharge and Length of Strainer calculation can be explained with given input values -> 8.598931 = 8.6/(10^((2.72*1E-05*0.83*(2+(0.83/2)))/1.01)).

FAQ

What is Radius of Well given Discharge and Length of Strainer?

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 and is represented as r_w = R_w/(10^((2.72*K_soil*s_t*(L+(s_t/2)))/Q)) or 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)). Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table, Coefficient of Permeability of Soil Particle describes how easily a liquid will move through the soil, 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, Length of Strainer is measured from bottom of aquifer to top of it & Discharge is the flow rate of water that is extracted from or injected into a well.

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

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 is calculated using 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 calculate Radius of Well given Discharge and Length of Strainer, you need Radius of Influence (R_w), Coefficient of Permeability of Soil Particle (K_soil), Total Drawdown (s_t), Length of Strainer (L) & Discharge (Q). With our tool, you need to enter the respective value for Radius of Influence, Coefficient of Permeability of Soil Particle, Total Drawdown, Length of Strainer & Discharge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius of Well given Discharge?

In this formula, Radius of Well given Discharge uses Radius of Influence, Coefficient of Permeability of Soil Particle, Total Drawdown, Length of Strainer & Discharge. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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