Radius of Influence given Confined Aquifer Discharge with Base 10 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid)
Rw = r*10^((2.72*KWH*bp*st)/Qli)
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.
Aquifer Thickness During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.
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.
Discharge of Liquid - (Measured in Cubic Meter per Second) - Discharge of Liquid 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)
Aquifer Thickness During Pumping: 2.36 Meter --> 2.36 Meter No Conversion Required
Total Drawdown in Well: 0.83 Meter --> 0.83 Meter No Conversion Required
Discharge of Liquid: 15 Cubic Meter per Second --> 15 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rw = r*10^((2.72*KWH*bp*st)/Qli) --> 7.5*10^((2.72*0.1*2.36*0.83)/15)
Evaluating ... ...
Rw = 8.13918344099956
STEP 3: Convert Result to Output's Unit
8.13918344099956 Meter --> No Conversion Required
FINAL ANSWER
8.13918344099956 8.139183 Meter <-- Radius of Influence
(Calculation completed in 00.020 seconds)

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

Radius of Influence given Discharge in Confined Aquifer
Go Radius of Influence = Radius of well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
Radius of Influence given Confined Aquifer Discharge
Go Radius of Influence = Radius of well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid)
Radius of Influence given Discharge in Confined Aquifer with Base 10
Go Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
Radius of Influence given Coefficient of Transmissibility
Go Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
Radius of Influence given Confined Aquifer Discharge with Base 10
Go Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid)
Radius of Influence given Drawdown at Well
Go Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown in Well)/Discharge of Liquid)
Radius of Influence given Coefficient of Transmissibility with Base 10
Go Radius of Influence = Radius of well*10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge of Liquid)
Radius of Influence given Drawdown at Well with Base 10
Go Radius of Influence = Radius of well*10^((2.72*Coefficient of Transmissibility*Total Drawdown in Well)/Discharge of Liquid)

Radius of Influence given Confined Aquifer Discharge with Base 10 Formula

Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid)
Rw = r*10^((2.72*KWH*bp*st)/Qli)

What is Radius of Influence?

The “Radius of Influence” is defined as the maximum distance at which the drawdowns can be detected with the usual measure devices in the field.

How to Calculate Radius of Influence given Confined Aquifer Discharge with Base 10?

Radius of Influence given Confined Aquifer Discharge with Base 10 calculator uses Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid) to calculate the Radius of Influence, The Radius of Influence given Confined Aquifer Discharge with Base 10 is defined as the 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 Confined Aquifer Discharge with Base 10 using this online calculator? To use this online calculator for Radius of Influence given Confined Aquifer Discharge with Base 10, enter Radius of well (r), Coefficient of Permeability in Well Hydraulics (KWH), Aquifer Thickness During Pumping (bp), Total Drawdown in Well (st) & Discharge of Liquid (Qli) and hit the calculate button. Here is how the Radius of Influence given Confined Aquifer Discharge with Base 10 calculation can be explained with given input values -> 8.139183 = 7.5*10^((2.72*0.1*2.36*0.83)/15).

FAQ

What is Radius of Influence given Confined Aquifer Discharge with Base 10?
The Radius of Influence given Confined Aquifer Discharge with Base 10 is defined as the value of radius of influence when we have prior information of other parameters used and is represented as Rw = r*10^((2.72*KWH*bp*st)/Qli) or Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid). 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, Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage, 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 & Discharge of Liquid is the rate of flow of a liquid.
How to calculate Radius of Influence given Confined Aquifer Discharge with Base 10?
The Radius of Influence given Confined Aquifer Discharge with Base 10 is defined as the 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*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid). To calculate Radius of Influence given Confined Aquifer Discharge with Base 10, you need Radius of well (r), Coefficient of Permeability in Well Hydraulics (KWH), Aquifer Thickness During Pumping (bp), Total Drawdown in Well (st) & Discharge of Liquid (Qli). With our tool, you need to enter the respective value for Radius of well, Coefficient of Permeability in Well Hydraulics, Aquifer Thickness During Pumping, Total Drawdown in Well & Discharge of Liquid 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, Aquifer Thickness During Pumping, Total Drawdown in Well & Discharge of Liquid. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Radius of Influence = Radius of well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
  • Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
  • Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
  • Radius of Influence = Radius of well*10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge of Liquid)
  • Radius of Influence = Radius of well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid)
  • Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown in Well)/Discharge of Liquid)
  • Radius of Influence = Radius of well*10^((2.72*Coefficient of Transmissibility*Total Drawdown in Well)/Discharge of Liquid)
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