Radius of Well given Drawdown at Well 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 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 is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+10% -10%

✖Radius of Well in Well Hydraulics is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well given Drawdown at Well [r^'']

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Radius of Well given Drawdown at Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Well in Well Hydraulics = Radius of Influence/(exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge))
r^'' = R_w/(exp((2*pi*T_envi*s_t)/Q))
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 Well in Well Hydraulics - (Measured in Meter) - Radius of Well in Well Hydraulics is defined as the distance from center of well to its outer boundary.
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 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 - (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 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: 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^'' = R_w/(exp((2*pi*T_envi*s_t)/Q)) --> 8.6/(exp((2*pi*1.5*0.83)/1.01))

Evaluating ... ...

r^'' = 0.00372252767631411

STEP 3: Convert Result to Output's Unit

0.00372252767631411 Meter --> No Conversion Required

FINAL ANSWER

0.00372252767631411 ≈ 0.003723 Meter <-- Radius of Well in Well Hydraulics

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Radial Distance and Radius of well Calculators

Radius of Well given Discharge in Confined Aquifer

LaTeX Go Radius of Well given Discharge = Radius of Influence/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 Well given Coefficient of Transmissibility

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

Radius of Well for Discharge in Confined Aquifer with Base 10

LaTeX Go Radius of Well given Discharge = Radius of Influence/(10^(2.72*Standard Coefficient of Permeability*Thickness of Aquifer*(Initial Aquifer Thickness-Depth of Water))/Discharge)

Radius of Well given Coefficient of Transmissibility with Base 10

LaTeX Go Radius of Well given Discharge = Radius of Influence/10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)

Radius of Well given Drawdown at Well Formula

LaTeX Go

Radius of Well in Well Hydraulics = Radius of Influence/(exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge))
r^'' = R_w/(exp((2*pi*T_envi*s_t)/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 Well given Drawdown at Well?

Radius of Well given Drawdown at Well calculator uses Radius of Well in Well Hydraulics = Radius of Influence/(exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge)) to calculate the Radius of Well in Well Hydraulics, The Radius of Well given Drawdown at Well is defined as the value of radius of well when we have prior information of other parameters used. Radius of Well in Well Hydraulics is denoted by r^'' symbol.

How to calculate Radius of Well given Drawdown at Well using this online calculator? To use this online calculator for Radius of Well given Drawdown at Well, enter Radius of Influence (R_w), Coefficient of Transmissibility (T_envi), Total Drawdown (s_t) & Discharge (Q) and hit the calculate button. Here is how the Radius of Well given Drawdown at Well calculation can be explained with given input values -> 0.003723 = 8.6/(exp((2*pi*1.5*0.83)/1.01)).

FAQ

What is Radius of Well given Drawdown at Well?

The Radius of Well given Drawdown at Well is defined as the value of radius of well when we have prior information of other parameters used and is represented as r^'' = R_w/(exp((2*pi*T_envi*s_t)/Q)) or Radius of Well in Well Hydraulics = Radius of Influence/(exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge)). Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table, 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 is the flow rate of water that is extracted from or injected into a well.

How to calculate Radius of Well given Drawdown at Well?

The Radius of Well given Drawdown at Well is defined as the value of radius of well when we have prior information of other parameters used is calculated using Radius of Well in Well Hydraulics = Radius of Influence/(exp((2*pi*Coefficient of Transmissibility*Total Drawdown)/Discharge)). To calculate Radius of Well given Drawdown at Well, you need Radius of Influence (R_w), Coefficient of Transmissibility (T_envi), Total Drawdown (s_t) & Discharge (Q). With our tool, you need to enter the respective value for Radius of Influence, Coefficient of Transmissibility, Total Drawdown & 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 in Well Hydraulics?

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

Radius of Well in Well Hydraulics = Radius of Influence/(10^((2.72*Coefficient of Transmissibility*Total Drawdown)/Discharge))

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