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

✖Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well given Confined Aquifer Discharge [r^']

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Radius of Well given Confined Aquifer Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Well in Eviron. Engin. = Radius of Influence/(exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge))
r^' = R_w/(exp((2*pi*K_WH*b_p*s_t)/Q))
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 Well in Eviron. Engin. - (Measured in Meter) - Radius of Well in Eviron. Engin. 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 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 - (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 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: 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*K_WH*b_p*s_t)/Q)) --> 8.6/(exp((2*pi*0.1*2.36*0.83)/1.01))

Evaluating ... ...

r^' = 2.54262627197189

STEP 3: Convert Result to Output's Unit

2.54262627197189 Meter --> No Conversion Required

FINAL ANSWER

2.54262627197189 ≈ 2.542626 Meter <-- Radius of Well in Eviron. Engin.

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

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 Confined Aquifer Discharge Formula

LaTeX Go

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 Confined Aquifer Discharge?

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

How to calculate Radius of Well given Confined Aquifer Discharge using this online calculator? To use this online calculator for Radius of Well given Confined Aquifer Discharge, enter Radius of Influence (R_w), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Total Drawdown (s_t) & Discharge (Q) and hit the calculate button. Here is how the Radius of Well given Confined Aquifer Discharge calculation can be explained with given input values -> 2.542626 = 8.6/(exp((2*pi*0.1*2.36*0.83)/1.01)).

FAQ

What is Radius of Well given Confined Aquifer Discharge?

The Radius of Well given Confined Aquifer Discharge 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*K_WH*b_p*s_t)/Q)) or Radius of Well in Eviron. Engin. = Radius of Influence/(exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*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 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 is the flow rate of water that is extracted from or injected into a well.

How to calculate Radius of Well given Confined Aquifer Discharge?

The Radius of Well given Confined Aquifer Discharge 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 Eviron. Engin. = Radius of Influence/(exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown)/Discharge)). To calculate Radius of Well given Confined Aquifer Discharge, you need Radius of Influence (R_w), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Total Drawdown (s_t) & Discharge (Q). With our tool, you need to enter the respective value for Radius of Influence, Coefficient of Permeability in Well Hydraulics, Aquifer Thickness During Pumping, 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 Eviron. Engin.?

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

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

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