Radius of Well given Discharge in Confined Aquifer 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%
✖Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.ⓘ Initial Aquifer Thickness [H_i]			+10% -10%
✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%
✖Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.ⓘ Discharge at Time t=0 [Q₀]			+10% -10%

✖Radius of Well given Discharge is the radial distance from the center of the well to the outer boundary of the aquifer, where the effects of pumping or water withdrawal are observed.ⓘ Radius of Well given Discharge in Confined Aquifer [r_w]

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Radius of Well given Discharge in Confined Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
r_w = R_w/exp((2*pi*K_WH*b_p*(H_i-h_w))/Q₀)
This formula uses 1 Constants, 1 Functions, 7 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 given Discharge - (Measured in Meter) - Radius of Well given Discharge is the radial distance from the center of the well to the outer boundary of the aquifer, where the effects of pumping or water withdrawal are observed.
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.
Initial Aquifer Thickness - (Measured in Meter) - Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.
Depth of Water - (Measured in Meter) - Depth of Water is the depth in the well measured above the impermeable layer.
Discharge at Time t=0 - (Measured in Cubic Meter per Second) - Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.

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
Initial Aquifer Thickness: 2.48 Meter --> 2.48 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 Meter No Conversion Required
Discharge at Time t=0: 50 Cubic Meter per Second --> 50 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_w = R_w/exp((2*pi*K_WH*b_p*(H_i-h_w))/Q₀) --> 8.6/exp((2*pi*0.1*2.36*(2.48-2.44))/50)

Evaluating ... ...

r_w = 8.58980416635836

STEP 3: Convert Result to Output's Unit

8.58980416635836 Meter --> No Conversion Required

FINAL ANSWER

8.58980416635836 ≈ 8.589804 Meter <-- Radius of Well given Discharge

(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 Discharge in Confined Aquifer Formula

LaTeX Go

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Radius of Well given Discharge in Confined Aquifer?

Radius of Well given Discharge in Confined Aquifer calculator uses 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) to calculate the Radius of Well given Discharge, The Radius of Well given Discharge in Confined Aquifer is defined as the value of radius of well when we have prior information of other parameters used. Radius of Well given Discharge is denoted by r_w symbol.

How to calculate Radius of Well given Discharge in Confined Aquifer using this online calculator? To use this online calculator for Radius of Well given Discharge in Confined Aquifer, enter Radius of Influence (R_w), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge at Time t=0 (Q₀) and hit the calculate button. Here is how the Radius of Well given Discharge in Confined Aquifer calculation can be explained with given input values -> 8.589804 = 8.6/exp((2*pi*0.1*2.36*(2.48-2.44))/50).

FAQ

What is Radius of Well given Discharge in Confined Aquifer?

The Radius of Well given Discharge in Confined Aquifer is defined as the value of radius of well when we have prior information of other parameters used and is represented as r_w = R_w/exp((2*pi*K_WH*b_p*(H_i-h_w))/Q₀) or 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 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, Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping, Depth of Water is the depth in the well measured above the impermeable layer & Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.

How to calculate Radius of Well given Discharge in Confined Aquifer?

The Radius of Well given Discharge in Confined Aquifer is defined as the value of radius of well when we have prior information of other parameters used is calculated using 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). To calculate Radius of Well given Discharge in Confined Aquifer, you need Radius of Influence (R_w), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge at Time t=0 (Q₀). With our tool, you need to enter the respective value for Radius of Influence, Coefficient of Permeability in Well Hydraulics, Aquifer Thickness During Pumping, Initial Aquifer Thickness, Depth of Water & Discharge at Time t=0 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 given Discharge?

In this formula, Radius of Well given Discharge uses Radius of Influence, Coefficient of Permeability in Well Hydraulics, Aquifer Thickness During Pumping, Initial Aquifer Thickness, Depth of Water & Discharge at Time t=0. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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