Depth of Water in Well when Interference among Three Well is Present Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness))
hw = Hi-((Q*log((R^3)/(r'*B^2),e))/(2*pi*K*bw))
This formula uses 2 Constants, 1 Functions, 8 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
Depth of Water - (Measured in Meter) - Depth of Water in the well measured above the impermeable layer.
Initial Aquifer Thickness - (Measured in Meter) - Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
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.
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.
Distance Between Well - (Measured in Meter) - Distance Between Well is the center to center distance between the well.
Coefficient of Permeability in Environ. Engin. - (Measured in Meter per Second) - Coefficient of Permeability in Environ. Engin. of soil describes how easily a liquid will move through the soil.
Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
STEP 1: Convert Input(s) to Base Unit
Initial Aquifer Thickness: 2.54 Meter --> 2.54 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Radius of Influence: 100 Meter --> 100 Meter No Conversion Required
Radius of Well in Eviron. Engin.: 2.94 Meter --> 2.94 Meter No Conversion Required
Distance Between Well: 2.93 Meter --> 2.93 Meter No Conversion Required
Coefficient of Permeability in Environ. Engin.: 0.105 Centimeter per Second --> 0.00105 Meter per Second (Check conversion here)
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hw = Hi-((Q*log((R^3)/(r'*B^2),e))/(2*pi*K*bw)) --> 2.54-((1.01*log((100^3)/(2.94*2.93^2),e))/(2*pi*0.00105*15))
Evaluating ... ...
hw = 1.5759843356925
STEP 3: Convert Result to Output's Unit
1.5759843356925 Meter --> No Conversion Required
FINAL ANSWER
1.5759843356925 1.575984 Meter <-- Depth of Water
(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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16 Interference Among Wells Calculators

Radius of Influence when Interference among Three Well is Present
Go Radius of Influence in Eviron. Engin. = ((Radius of Well in Eviron. Engin.*Distance Between Well^2)*exp((2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0))^(1/3)
Distance between well when Interference among three well is present
Go Distance Between Well = sqrt((Radius of Influence in Eviron. Engin.^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Radius of Well in Eviron. Engin.))
Coefficient of Permeability when Interference among Three Well is Present
Go Coefficient of Permeability in Environ. Engin. = Discharge/((2*pi*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e)))
Aquifer Thickness when Interference among Three Well is Present
Go Aquifer Thickness During Pumping = Discharge/((2*pi*Coefficient of Permeability in Environ. Engin.*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e)))
Radius of Influence when Interference among Well is Present
Go Radius of Influence in Eviron. Engin. = sqrt((Radius of Well in Eviron. Engin.*Distance Between Well)*exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge))
Thickness of Aquifer from Impermeable Layer when Interference among Three Well is Present
Go Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness During Pumping))
Discharge through Each Well when Interference among Three Well is Present
Go Discharge = (2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))
Coefficient of Permeability when Interference among Well is Present
Go Coefficient of Permeability in Environ. Engin. = Discharge/((2*pi*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e)))
Aquifer Thickness when Interference among Well is Present
Go Aquifer Thickness During Pumping = Discharge/((2*pi*Coefficient of Permeability in Environ. Engin.*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e)))
Discharge through Each Well when Interference among Well is Present
Go Discharge = (2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e))
Depth of Water in Well when Interference among Three Well is Present
Go Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness))
Thickness of Aquifer from Impermeable Layer when Interference among Well is Present
Go Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness))
Depth of Water in Well when Interference among Well is Present
Go Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness))
Radius of Well when Interference among three well is present
Go Radius of Well in Eviron. Engin. = (Radius of Influence in Eviron. Engin.^3)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Distance Between Well^2)
Distance between well when Interference among well is present
Go Distance Between Well = (Radius of Influence in Eviron. Engin.^2)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Radius of Well in Eviron. Engin.)
Radius of Well when Interference among well is present
Go Radius of Well in Eviron. Engin. = (Radius of Influence in Eviron. Engin.^2)/(exp((2*pi*Coefficient of Permeability*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge)*Distance Between Well)

Depth of Water in Well when Interference among Three Well is Present Formula

Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness))
hw = Hi-((Q*log((R^3)/(r'*B^2),e))/(2*pi*K*bw))

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 Depth of Water in Well when Interference among Three Well is Present?

Depth of Water in Well when Interference among Three Well is Present calculator uses Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness)) to calculate the Depth of Water, The Depth of Water in Well when Interference among Three Well is Present is defined as the value of depth of water in well when we have prior information of other parameters used. Depth of Water is denoted by hw symbol.

How to calculate Depth of Water in Well when Interference among Three Well is Present using this online calculator? To use this online calculator for Depth of Water in Well when Interference among Three Well is Present, enter Initial Aquifer Thickness (Hi), Discharge (Q), Radius of Influence (R), Radius of Well in Eviron. Engin. (r'), Distance Between Well (B), Coefficient of Permeability in Environ. Engin. (K) & Aquifer Thickness (bw) and hit the calculate button. Here is how the Depth of Water in Well when Interference among Three Well is Present calculation can be explained with given input values -> 1.575984 = 2.54-((1.01*log((100^3)/(2.94*2.93^2),e))/(2*pi*0.00105*15)).

FAQ

What is Depth of Water in Well when Interference among Three Well is Present?
The Depth of Water in Well when Interference among Three Well is Present is defined as the value of depth of water in well when we have prior information of other parameters used and is represented as hw = Hi-((Q*log((R^3)/(r'*B^2),e))/(2*pi*K*bw)) or Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness)). Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping, Discharge is the rate of flow of a liquid, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table, Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary, Distance Between Well is the center to center distance between the well, Coefficient of Permeability in Environ. Engin. of soil describes how easily a liquid will move through the soil & Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
How to calculate Depth of Water in Well when Interference among Three Well is Present?
The Depth of Water in Well when Interference among Three Well is Present is defined as the value of depth of water in well when we have prior information of other parameters used is calculated using Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence^3)/(Radius of Well in Eviron. Engin.*Distance Between Well^2),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness)). To calculate Depth of Water in Well when Interference among Three Well is Present, you need Initial Aquifer Thickness (Hi), Discharge (Q), Radius of Influence (R), Radius of Well in Eviron. Engin. (r'), Distance Between Well (B), Coefficient of Permeability in Environ. Engin. (K) & Aquifer Thickness (bw). With our tool, you need to enter the respective value for Initial Aquifer Thickness, Discharge, Radius of Influence, Radius of Well in Eviron. Engin, Distance Between Well, Coefficient of Permeability in Environ. Engin & Aquifer Thickness 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 Depth of Water?
In this formula, Depth of Water uses Initial Aquifer Thickness, Discharge, Radius of Influence, Radius of Well in Eviron. Engin, Distance Between Well, Coefficient of Permeability in Environ. Engin & Aquifer Thickness. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence^2)/(Radius of Well in Eviron. Engin.*Distance Between Well),e))/(2*pi*Coefficient of Permeability in Environ. Engin.*Aquifer Thickness))
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