Confined Aquifer Discharge given Depth of Water in Two Wells Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))
Q = (2.72*Kw*bp*(h2-h1))/(log((r2/r1),10))
This formula uses 1 Functions, 7 Variables
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Coefficient of Permeability - (Measured in Meter per Second) - Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.
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.
Radial Distance at Observation Well 2 - (Measured in Meter) - Radial Distance at Observation 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.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Permeability: 1000 Centimeter per Second --> 10 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
Radial Distance at Observation Well 2: 10 Meter --> 10 Meter No Conversion Required
Radial Distance at Observation Well 1: 1.07 Meter --> 1.07 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (2.72*Kw*bp*(h2-h1))/(log((r2/r1),10)) --> (2.72*10*2.36*(17.8644-17.85))/(log((10/1.07),10))
Evaluating ... ...
Q = 0.897203470216668
STEP 3: Convert Result to Output's Unit
0.897203470216668 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.897203470216668 0.897203 Cubic Meter per Second <-- Discharge
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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10+ Aquifer Discharge Calculators

Discharge in Confined Aquifer
Go Discharge = (2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e))
Confined Aquifer Discharge given Drawdown at Well
Go Discharge = (2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well in Well Hydraulics)/(log((Radius of Influence/Radius of well),e))
Confined Aquifer Discharge given Depth of Water in Two Wells
Go Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))
Discharge in Confined Aquifer given Coefficient of Transmissibility
Go Discharge = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e))
Confined Aquifer Discharge given Coefficient of Transmissibility and Depth of Water
Go Discharge = (2.72*Coefficient of Transmissibility in Enviro. Eng.*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))
Discharge in Confined Aquifer with Base 10
Go Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),10))
Confined Aquifer Discharge with Base 10 given Drawdown at Well
Go Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*Total Drawdown in Well in Well Hydraulics)/(log((Radius of Influence/Radius of well),10))
Discharge in Confined Aquifer with Base 10 given Coefficient of Transmissibility
Go Discharge = (2.72*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),10))
Confined Aquifer Discharge given Coefficient of Transmissibility
Go Discharge = (2*pi*Coefficient of Transmissibility*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e))
Confined Aquifer Discharge with Base 10 given Coefficient of Transmissibility
Go Discharge = (2.72*Coefficient of Transmissibility*Total Drawdown in Well in Well Hydraulics)/(log((Radius of Influence/Radius of well),10))

Confined Aquifer Discharge given Depth of Water in Two Wells Formula

Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))
Q = (2.72*Kw*bp*(h2-h1))/(log((r2/r1),10))

What is Confined Aquifer?

A confined aquifer is an aquifer below the land surface that is saturated with water. Layers of impermeable material are both above and below the aquifer, causing it to be under pressure so that when the aquifer is penetrated by a well, the water will rise above the top of the aquifer.

How to Calculate Confined Aquifer Discharge given Depth of Water in Two Wells?

Confined Aquifer Discharge given Depth of Water in Two Wells calculator uses Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)) to calculate the Discharge, The Confined Aquifer Discharge given Depth of Water in Two Wells is defined as the value of confined aquifer discharge when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Confined Aquifer Discharge given Depth of Water in Two Wells using this online calculator? To use this online calculator for Confined Aquifer Discharge given Depth of Water in Two Wells, enter Coefficient of Permeability (Kw), Aquifer Thickness During Pumping (bp), Depth of Water 2 (h2), Depth of Water 1 (h1), Radial Distance at Observation Well 2 (r2) & Radial Distance at Observation Well 1 (r1) and hit the calculate button. Here is how the Confined Aquifer Discharge given Depth of Water in Two Wells calculation can be explained with given input values -> 0.897203 = (2.72*10*2.36*(17.8644-17.85))/(log((10/1.07),10)).

FAQ

What is Confined Aquifer Discharge given Depth of Water in Two Wells?
The Confined Aquifer Discharge given Depth of Water in Two Wells is defined as the value of confined aquifer discharge when we have prior information of other parameters used and is represented as Q = (2.72*Kw*bp*(h2-h1))/(log((r2/r1),10)) or Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)). Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils, 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, Radial Distance at Observation 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 is the value of radial distance from well 1 when we have prior information of other parameters used.
How to calculate Confined Aquifer Discharge given Depth of Water in Two Wells?
The Confined Aquifer Discharge given Depth of Water in Two Wells is defined as the value of confined aquifer discharge when we have prior information of other parameters used is calculated using Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)). To calculate Confined Aquifer Discharge given Depth of Water in Two Wells, you need Coefficient of Permeability (Kw), Aquifer Thickness During Pumping (bp), Depth of Water 2 (h2), Depth of Water 1 (h1), Radial Distance at Observation Well 2 (r2) & Radial Distance at Observation Well 1 (r1). With our tool, you need to enter the respective value for Coefficient of Permeability, Aquifer Thickness During Pumping, Depth of Water 2, Depth of Water 1, Radial Distance at Observation Well 2 & Radial Distance at Observation Well 1 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 Discharge?
In this formula, Discharge uses Coefficient of Permeability, Aquifer Thickness During Pumping, Depth of Water 2, Depth of Water 1, Radial Distance at Observation Well 2 & Radial Distance at Observation Well 1. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Discharge = (2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e))
  • Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),10))
  • Discharge = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e))
  • Discharge = (2.72*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),10))
  • Discharge = (2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well in Well Hydraulics)/(log((Radius of Influence/Radius of well),e))
  • Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*Total Drawdown in Well in Well Hydraulics)/(log((Radius of Influence/Radius of well),10))
  • Discharge = (2*pi*Coefficient of Transmissibility*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e))
  • Discharge = (2.72*Coefficient of Transmissibility*Total Drawdown in Well in Well Hydraulics)/(log((Radius of Influence/Radius of well),10))
  • Discharge = (2.72*Coefficient of Transmissibility in Enviro. Eng.*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))
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