Radius of Influence given Drawdown at Well 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 Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.ⓘ Coefficient of Transmissibility [T_envi]			+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 given Drawdown at Well is the horizontal distance from the center of a well to the point in an aquifer where the drawdown becomes negligible, typically zero.ⓘ Radius of Influence given Drawdown at Well [R_iw]

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Radius of Influence given Drawdown at Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Influence given Drawdown at Well = Radius of Well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge of Liquid)
R_iw = r*exp((2*pi*T_envi*s_t)/Q_li)
This formula uses 1 Constants, 1 Functions, 5 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 given Drawdown at Well - (Measured in Meter) - Radius of Influence given Drawdown at Well is the horizontal distance from the center of a well to the point in an aquifer where the drawdown becomes negligible, typically zero.
Radius of Well - (Measured in Meter) - Radius of Well is defined as the distance from center of well to its outer boundary.
Coefficient of Transmissibility - (Measured in Square Meter per Second) - Coefficient of Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.
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 Transmissibility: 1.5 Square Meter per Second --> 1.5 Square Meter per Second 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_iw = r*exp((2*pi*T_envi*s_t)/Q_li) --> 7.5*exp((2*pi*1.5*0.83)/15)

Evaluating ... ...

R_iw = 12.6341997269467

STEP 3: Convert Result to Output's Unit

12.6341997269467 Meter --> No Conversion Required

FINAL ANSWER

12.6341997269467 ≈ 12.6342 Meter <-- Radius of Influence given Drawdown at Well

(Calculation completed in 00.020 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 Drawdown at Well Formula

LaTeX Go

Radius of Influence given Drawdown at Well = Radius of Well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge of Liquid)
R_iw = r*exp((2*pi*T_envi*s_t)/Q_li)

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 Drawdown at Well?

Radius of Influence given Drawdown at Well calculator uses Radius of Influence given Drawdown at Well = Radius of Well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge of Liquid) to calculate the Radius of Influence given Drawdown at Well, The Radius of Influence given Drawdown at Well formula is defined as the calculation of the the horizontal distance from the center of a well (or borehole) to the point in an aquifer where the drawdown becomes negligible, typically zero, when we have prior information of drawdown at well. Radius of Influence given Drawdown at Well is denoted by R_iw symbol.

How to calculate Radius of Influence given Drawdown at Well using this online calculator? To use this online calculator for Radius of Influence given Drawdown at Well, enter Radius of Well (r), Coefficient of Transmissibility (T_envi), Total Drawdown (s_t) & Discharge of Liquid (Q_li) and hit the calculate button. Here is how the Radius of Influence given Drawdown at Well calculation can be explained with given input values -> 12.6342 = 7.5*exp((2*pi*1.5*0.83)/15).

FAQ

What is Radius of Influence given Drawdown at Well?

The Radius of Influence given Drawdown at Well formula is defined as the calculation of the the horizontal distance from the center of a well (or borehole) to the point in an aquifer where the drawdown becomes negligible, typically zero, when we have prior information of drawdown at well and is represented as R_iw = r*exp((2*pi*T_envi*s_t)/Q_li) or Radius of Influence given Drawdown at Well = Radius of Well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge of Liquid). Radius of Well is defined as the distance from center of well to its outer boundary, Coefficient of Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer, 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 Drawdown at Well?

The Radius of Influence given Drawdown at Well formula is defined as the calculation of the the horizontal distance from the center of a well (or borehole) to the point in an aquifer where the drawdown becomes negligible, typically zero, when we have prior information of drawdown at well is calculated using Radius of Influence given Drawdown at Well = Radius of Well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge of Liquid). To calculate Radius of Influence given Drawdown at Well, you need Radius of Well (r), Coefficient of Transmissibility (T_envi), 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 Transmissibility, 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 given Drawdown at Well?

In this formula, Radius of Influence given Drawdown at Well uses Radius of Well, Coefficient of Transmissibility, Total Drawdown & Discharge of Liquid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius of Influence given Drawdown at Well = Radius of Well*10^((2.72*Coefficient of Transmissibility*Total Drawdown)/Discharge of Liquid)

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