Radius of Influence given Discharge and Length of Strainer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/Discharge)
Rw = r*10^((2.72*KWH*st*(L+(st/2)))/Q)
This formula uses 6 Variables
Variables Used
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.
Radius of well - (Measured in Meter) - Radius of well is defined as the distance from center of well to its outer boundary.
Coefficient of Permeability in Well Hydraulics - (Measured in Meter per Second) - Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.
Total Drawdown in Well - (Measured in Meter) - The Total Drawdown in Well 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 rate of flow of a liquid.
STEP 1: Convert Input(s) to Base Unit
Radius of well: 7.5 Meter --> 7.5 Meter No Conversion Required
Coefficient of Permeability in Well Hydraulics: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Total Drawdown in Well: 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
Rw = r*10^((2.72*KWH*st*(L+(st/2)))/Q) --> 7.5*10^((2.72*0.1*0.83*(2+(0.83/2)))/1.01)
Evaluating ... ...
Rw = 25.9940254986342
STEP 3: Convert Result to Output's Unit
25.9940254986342 Meter --> No Conversion Required
FINAL ANSWER
25.9940254986342 25.99403 Meter <-- Radius of Influence
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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3 Radius of Influence Calculators

Radius of Influence given Discharge in Unconfined Aquifer
Go 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 given Discharge and Length of Strainer
Go Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/Discharge)
Radius of Influence given Discharge in Unconfined Aquifer with Base 10
Go Radius of Influence = Radius of well* 10^((1.36*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)

Radius of Influence given Discharge and Length of Strainer Formula

Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/Discharge)
Rw = r*10^((2.72*KWH*st*(L+(st/2)))/Q)

What is drawdown ?

A drawdown is a peak-to-trough decline during a specific period for an investment, trading account, or fund. A drawdown is usually quoted as the percentage between the peak and the subsequent trough.

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

Radius of Influence given Discharge and Length of Strainer calculator uses Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/Discharge) to calculate 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 Rw symbol.

How to calculate Radius of Influence given Discharge and Length of Strainer using this online calculator? To use this online calculator for Radius of Influence given Discharge and Length of Strainer, enter Radius of well (r), Coefficient of Permeability in Well Hydraulics (KWH), Total Drawdown in Well (st), Length of strainer (L) & Discharge (Q) and hit the calculate button. Here is how the Radius of Influence given Discharge and Length of Strainer calculation can be explained with given input values -> 25.99403 = 7.5*10^((2.72*0.1*0.83*(2+(0.83/2)))/1.01).

FAQ

What is Radius of Influence given Discharge and Length of Strainer?
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 and is represented as Rw = r*10^((2.72*KWH*st*(L+(st/2)))/Q) or Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/Discharge). Radius of well is defined as the distance from center of well to its outer boundary, Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil, The Total Drawdown in Well 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 rate of flow of a liquid.
How to calculate Radius of Influence given Discharge and Length of Strainer?
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 is calculated using Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/Discharge). To calculate Radius of Influence given Discharge and Length of Strainer, you need Radius of well (r), Coefficient of Permeability in Well Hydraulics (KWH), Total Drawdown in Well (st), Length of strainer (L) & Discharge (Q). With our tool, you need to enter the respective value for Radius of well, Coefficient of Permeability in Well Hydraulics, Total Drawdown in Well, 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 Influence?
In this formula, Radius of Influence uses Radius of well, Coefficient of Permeability in Well Hydraulics, Total Drawdown in Well, Length of strainer & Discharge. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
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