Radius of Well for Discharge in Confined Aquifer with Base 10 Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
rw = Rw/(10^(2.72*Kswh*b*(Hi-hw))/Q)
This formula uses 7 Variables
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.
Standard Coefficient of Permeability - Standard Coefficient of Permeability is an evaluation index of ground permeability. The larger the pores in the soil, the looser the soil mass and the stronger the soil permeability.
Thickness of Aquifer - (Measured in Meter) - The Thickness of Aquifer vertical thickness of the hydro geologically defined aquifer in which the pore spaces of the rock forming the aquifer are filled with water.
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 - (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
Standard Coefficient of Permeability: 0.0022 --> No Conversion Required
Thickness of Aquifer: 3 Meter --> 3 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: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rw = Rw/(10^(2.72*Kswh*b*(Hi-hw))/Q) --> 8.6/(10^(2.72*0.0022*3*(2.48-2.44))/1.01)
Evaluating ... ...
rw = 8.67165008415696
STEP 3: Convert Result to Output's Unit
8.67165008415696 Meter --> No Conversion Required
FINAL ANSWER
8.67165008415696 8.67165 Meter <-- Radius of Well given Discharge
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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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 for Discharge in Confined Aquifer with Base 10 Formula

​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)
rw = Rw/(10^(2.72*Kswh*b*(Hi-hw))/Q)

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 for Discharge in Confined Aquifer with Base 10?

Radius of Well for Discharge in Confined Aquifer with Base 10 calculator uses 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) to calculate the Radius of Well given Discharge, The Radius of Well for Discharge in Confined Aquifer with Base 10 formula is defined as the value of radius of well when we have prior information of discharge. Radius of Well given Discharge is denoted by rw symbol.

How to calculate Radius of Well for Discharge in Confined Aquifer with Base 10 using this online calculator? To use this online calculator for Radius of Well for Discharge in Confined Aquifer with Base 10, enter Radius of Influence (Rw), Standard Coefficient of Permeability (Kswh), Thickness of Aquifer (b), Initial Aquifer Thickness (Hi), Depth of Water (hw) & Discharge (Q) and hit the calculate button. Here is how the Radius of Well for Discharge in Confined Aquifer with Base 10 calculation can be explained with given input values -> 8.67165 = 8.6/(10^(2.72*0.0022*3*(2.48-2.44))/1.01).

FAQ

What is Radius of Well for Discharge in Confined Aquifer with Base 10?
The Radius of Well for Discharge in Confined Aquifer with Base 10 formula is defined as the value of radius of well when we have prior information of discharge and is represented as rw = Rw/(10^(2.72*Kswh*b*(Hi-hw))/Q) or 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 Influence measured from the center of the well to the point where drawdown curve meets the original water table, Standard Coefficient of Permeability is an evaluation index of ground permeability. The larger the pores in the soil, the looser the soil mass and the stronger the soil permeability, The Thickness of Aquifer vertical thickness of the hydro geologically defined aquifer in which the pore spaces of the rock forming the aquifer are filled with water, 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 is the flow rate of water that is extracted from or injected into a well.
How to calculate Radius of Well for Discharge in Confined Aquifer with Base 10?
The Radius of Well for Discharge in Confined Aquifer with Base 10 formula is defined as the value of radius of well when we have prior information of discharge is calculated using 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). To calculate Radius of Well for Discharge in Confined Aquifer with Base 10, you need Radius of Influence (Rw), Standard Coefficient of Permeability (Kswh), Thickness of Aquifer (b), Initial Aquifer Thickness (Hi), Depth of Water (hw) & Discharge (Q). With our tool, you need to enter the respective value for Radius of Influence, Standard Coefficient of Permeability, Thickness of Aquifer, Initial Aquifer Thickness, Depth of Water & 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 given Discharge?
In this formula, Radius of Well given Discharge uses Radius of Influence, Standard Coefficient of Permeability, Thickness of Aquifer, Initial Aquifer Thickness, Depth of Water & Discharge. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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 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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