Discharge in Confined Aquifer given Coefficient of Transmissibility Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e))
Q = (2*pi*Tw*(Hi-hw))/(log((Rw/r),e))
This formula uses 2 Constants, 1 Functions, 6 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
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Coefficient of Transmissibility in Enviro. Eng. - (Measured in Square Meter per Second) - Coefficient of Transmissibility in Enviro. Eng. is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.
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 in the well measured above the impermeable layer.
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 - (Measured in Meter) - Radius of well is defined as the distance from center of well to its outer boundary.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Transmissibility in Enviro. Eng.: 26.9 Square Meter per Second --> 26.9 Square Meter per Second No Conversion Required
Initial Aquifer Thickness: 2.54 Meter --> 2.54 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 Meter No Conversion Required
Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Radius of well: 7.5 Meter --> 7.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (2*pi*Tw*(Hi-hw))/(log((Rw/r),e)) --> (2*pi*26.9*(2.54-2.44))/(log((8.6/7.5),e))
Evaluating ... ...
Q = 2.3131622201435
STEP 3: Convert Result to Output's Unit
2.3131622201435 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
2.3131622201435 2.313162 Cubic Meter per Second <-- Discharge
(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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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))

Discharge in Confined Aquifer given Coefficient of Transmissibility Formula

Discharge = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e))
Q = (2*pi*Tw*(Hi-hw))/(log((Rw/r),e))

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 Discharge in Confined Aquifer given Coefficient of Transmissibility?

Discharge in Confined Aquifer given Coefficient of Transmissibility calculator uses Discharge = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e)) to calculate the Discharge, The Discharge in Confined Aquifer given Coefficient of Transmissibility is defined as the value of discharge when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Discharge in Confined Aquifer given Coefficient of Transmissibility using this online calculator? To use this online calculator for Discharge in Confined Aquifer given Coefficient of Transmissibility, enter Coefficient of Transmissibility in Enviro. Eng. (Tw), Initial Aquifer Thickness (Hi), Depth of Water (hw), Radius of Influence (Rw) & Radius of well (r) and hit the calculate button. Here is how the Discharge in Confined Aquifer given Coefficient of Transmissibility calculation can be explained with given input values -> 2.313162 = (2*pi*26.9*(2.54-2.44))/(log((8.6/7.5),e)).

FAQ

What is Discharge in Confined Aquifer given Coefficient of Transmissibility?
The Discharge in Confined Aquifer given Coefficient of Transmissibility is defined as the value of discharge when we have prior information of other parameters used and is represented as Q = (2*pi*Tw*(Hi-hw))/(log((Rw/r),e)) or Discharge = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e)). Coefficient of Transmissibility in Enviro. Eng. is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer, Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping, Depth of Water in the well measured above the impermeable layer, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table & Radius of well is defined as the distance from center of well to its outer boundary.
How to calculate Discharge in Confined Aquifer given Coefficient of Transmissibility?
The Discharge in Confined Aquifer given Coefficient of Transmissibility is defined as the value of discharge when we have prior information of other parameters used is calculated using Discharge = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e)). To calculate Discharge in Confined Aquifer given Coefficient of Transmissibility, you need Coefficient of Transmissibility in Enviro. Eng. (Tw), Initial Aquifer Thickness (Hi), Depth of Water (hw), Radius of Influence (Rw) & Radius of well (r). With our tool, you need to enter the respective value for Coefficient of Transmissibility in Enviro. Eng, Initial Aquifer Thickness, Depth of Water, Radius of Influence & Radius of well 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 Transmissibility in Enviro. Eng, Initial Aquifer Thickness, Depth of Water, Radius of Influence & Radius of well. 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 = (2.72*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 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 = (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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