Radial Distance of Well 2 given Confined Aquifer Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Distance at Well 2 = Radial Distance at Observation Well 1*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/Discharge at Time t=0)
R2 = r1*10^((2.72*KWH*bp*(h2-h1))/Q0)
This formula uses 7 Variables
Variables Used
Radial Distance at Well 2 - (Measured in Meter) - Radial Distance at Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.
Radial Distance at Observation Well 1 - (Measured in Meter) - Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.
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.
Depth of Water 2 - (Measured in Meter) - Depth of water 2 means the depth of the water in 2nd well.
Depth of Water 1 - (Measured in Meter) - Depth of Water 1 is the depth of water in the 1st considered well.
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
Radial Distance at Observation Well 1: 1.07 Meter --> 1.07 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
Depth of Water 2: 17.8644 Meter --> 17.8644 Meter No Conversion Required
Depth of Water 1: 17.85 Meter --> 17.85 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
R2 = r1*10^((2.72*KWH*bp*(h2-h1))/Q0) --> 1.07*10^((2.72*0.1*2.36*(17.8644-17.85))/50)
Evaluating ... ...
R2 = 1.07045558068254
STEP 3: Convert Result to Output's Unit
1.07045558068254 Meter --> No Conversion Required
FINAL ANSWER
1.07045558068254 1.070456 Meter <-- Radial Distance at Well 2
(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)

Radial Distance of Well 2 given Confined Aquifer Discharge Formula

​LaTeX ​Go
Radial Distance at Well 2 = Radial Distance at Observation Well 1*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/Discharge at Time t=0)
R2 = r1*10^((2.72*KWH*bp*(h2-h1))/Q0)

What is Aquifer?

An aquifer is an underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials (gravel, sand, or silt). Groundwater can be extracted using a water well.

How to Calculate Radial Distance of Well 2 given Confined Aquifer Discharge?

Radial Distance of Well 2 given Confined Aquifer Discharge calculator uses Radial Distance at Well 2 = Radial Distance at Observation Well 1*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/Discharge at Time t=0) to calculate the Radial Distance at Well 2, The Radial Distance of Well 2 given Confined Aquifer Discharge is defined as the value of radial distance from the 2nd well when we have prior information of other parameters used. Radial Distance at Well 2 is denoted by R2 symbol.

How to calculate Radial Distance of Well 2 given Confined Aquifer Discharge using this online calculator? To use this online calculator for Radial Distance of Well 2 given Confined Aquifer Discharge, enter Radial Distance at Observation Well 1 (r1), Coefficient of Permeability in Well Hydraulics (KWH), Aquifer Thickness During Pumping (bp), Depth of Water 2 (h2), Depth of Water 1 (h1) & Discharge at Time t=0 (Q0) and hit the calculate button. Here is how the Radial Distance of Well 2 given Confined Aquifer Discharge calculation can be explained with given input values -> 1.070456 = 1.07*10^((2.72*0.1*2.36*(17.8644-17.85))/50).

FAQ

What is Radial Distance of Well 2 given Confined Aquifer Discharge?
The Radial Distance of Well 2 given Confined Aquifer Discharge is defined as the value of radial distance from the 2nd well when we have prior information of other parameters used and is represented as R2 = r1*10^((2.72*KWH*bp*(h2-h1))/Q0) or Radial Distance at Well 2 = Radial Distance at Observation Well 1*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/Discharge at Time t=0). Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used, 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, Depth of water 2 means the depth of the water in 2nd well, Depth of Water 1 is the depth of water in the 1st considered well & 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 Radial Distance of Well 2 given Confined Aquifer Discharge?
The Radial Distance of Well 2 given Confined Aquifer Discharge is defined as the value of radial distance from the 2nd well when we have prior information of other parameters used is calculated using Radial Distance at Well 2 = Radial Distance at Observation Well 1*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/Discharge at Time t=0). To calculate Radial Distance of Well 2 given Confined Aquifer Discharge, you need Radial Distance at Observation Well 1 (r1), Coefficient of Permeability in Well Hydraulics (KWH), Aquifer Thickness During Pumping (bp), Depth of Water 2 (h2), Depth of Water 1 (h1) & Discharge at Time t=0 (Q0). With our tool, you need to enter the respective value for Radial Distance at Observation Well 1, Coefficient of Permeability in Well Hydraulics, Aquifer Thickness During Pumping, Depth of Water 2, Depth of Water 1 & 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 Radial Distance at Well 2?
In this formula, Radial Distance at Well 2 uses Radial Distance at Observation Well 1, Coefficient of Permeability in Well Hydraulics, Aquifer Thickness During Pumping, Depth of Water 2, Depth of Water 1 & Discharge at Time t=0. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radial Distance at Well 2 = Radial Distance at Observation Well 1*10^((2.72*Coefficient of Transmissibility*(Depth of Water 2-Depth of Water 1))/Discharge at Time t=0)
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