Radius of Influence given Confined Aquifer Discharge Calculator

✖Radius of Well is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well [r]			+10% -10%
✖Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Well Hydraulics [K_WH]			+10% -10%
✖Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.ⓘ Aquifer Thickness During Pumping [b_p]			+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%
✖Discharge of Liquid is the rate of flow of a liquid.ⓘ Discharge of Liquid [Q_li]			+10% -10%

✖Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence given Confined Aquifer Discharge [R_w]

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Radius of Influence given Confined Aquifer Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Influence = Radius of Well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge of Liquid)
R_w = r*exp((2*pi*K_WH*b_p*s_t)/Q_li)
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

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 - (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.
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: 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

R_w = r*exp((2*pi*K_WH*b_p*s_t)/Q_li) --> 7.5*exp((2*pi*0.1*2.36*0.83)/15)

Evaluating ... ...

R_w = 8.14132581326173

STEP 3: Convert Result to Output's Unit

8.14132581326173 Meter --> No Conversion Required

FINAL ANSWER

8.14132581326173 ≈ 8.141326 Meter <-- Radius of Influence

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Radius of Influence Calculators

Radius of Influence given Discharge in Confined Aquifer

LaTeX Go Radius of Influence given Discharge = 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 Discharge in Confined Aquifer with Base 10

LaTeX Go Radius of Influence given Discharge = 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

LaTeX Go Radius of Influence(Coeffi. of Transmissibility) = Radius of Well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)

Radius of Influence given Coefficient of Transmissibility with Base 10

LaTeX Go Radius of Influence(Coeffi. of Transmissibility) = Radius of Well*10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge of Liquid)

Radius of Influence given Confined Aquifer Discharge Formula

LaTeX Go

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?

Radius of Influence given Confined Aquifer Discharge calculator uses Radius of Influence = Radius of Well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge of Liquid) to calculate the Radius of Influence, The Radius of Influence given Confined Aquifer Discharge is defined as 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 calculate Radius of Influence given Confined Aquifer Discharge using this online calculator? To use this online calculator for Radius of Influence given Confined Aquifer Discharge, enter Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Total Drawdown (s_t) & Discharge of Liquid (Q_li) and hit the calculate button. Here is how the Radius of Influence given Confined Aquifer Discharge calculation can be explained with given input values -> 8.141326 = 7.5*exp((2*pi*0.1*2.36*0.83)/15).

FAQ

What is Radius of Influence given Confined Aquifer Discharge?

The Radius of Influence given Confined Aquifer Discharge is defined as the value of radius of influence when we have prior information of other parameters used and is represented as R_w = r*exp((2*pi*K_WH*b_p*s_t)/Q_li) or Radius of Influence = Radius of Well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/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 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?

The Radius of Influence given Confined Aquifer Discharge 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*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge of Liquid). To calculate Radius of Influence given Confined Aquifer Discharge, you need Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Total Drawdown (s_t) & Discharge of Liquid (Q_li). 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 & 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 & Discharge of Liquid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius of Influence = Radius of Well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge of Liquid)

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