Confined Aquifer Discharge given Coefficient of Transmissibility Calculator

✖Coefficient of Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.ⓘ Coefficient of Transmissibility [T_envi]			+10% -10%
✖The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.ⓘ Total Drawdown [s_t]			+10% -10%
✖Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence [R_w]			+10% -10%
✖Radius of Well is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well [r]			+10% -10%

✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Confined Aquifer Discharge given Coefficient of Transmissibility [Q]

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Confined Aquifer Discharge given Coefficient of Transmissibility Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = (2*pi*Coefficient of Transmissibility*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))
Q = (2*pi*T_envi*s_t)/(log((R_w/r),e))
This formula uses 2 Constants, 1 Functions, 5 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 flow rate of water that is extracted from or injected into a well.
Coefficient of Transmissibility - (Measured in Square Meter per Second) - Coefficient of Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.
Total Drawdown - (Measured in Meter) - The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.
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: 1.5 Square Meter per Second --> 1.5 Square Meter per Second No Conversion Required
Total Drawdown: 0.83 Meter --> 0.83 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*T_envi*s_t)/(log((R_w/r),e)) --> (2*pi*1.5*0.83)/(log((8.6/7.5),e))

Evaluating ... ...

Q = 1.07058994947162

STEP 3: Convert Result to Output's Unit

1.07058994947162 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.07058994947162 ≈ 1.07059 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.020 seconds)

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< Aquifer Discharge Calculators

Discharge in Confined Aquifer

LaTeX Go Discharge in Confined Aquifer = (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 in Confined Aquifer given Coefficient of Transmissibility

LaTeX Go Discharge given Coefficient of Transmissibility = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e))

Discharge in Confined Aquifer with Base 10

LaTeX Go Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10))

Discharge in Confined Aquifer with Base 10 given Coefficient of Transmissibility

LaTeX Go Discharge in Confined Aquifer = (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 Formula

LaTeX Go

Discharge = (2*pi*Coefficient of Transmissibility*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))
Q = (2*pi*T_envi*s_t)/(log((R_w/r),e))

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 Coefficient of Transmissibility?

Confined Aquifer Discharge given Coefficient of Transmissibility calculator uses Discharge = (2*pi*Coefficient of Transmissibility*Total Drawdown)/(log((Radius of Influence/Radius of Well),e)) to calculate the Discharge, The Confined Aquifer Discharge given Coefficient of Transmissibility formula is defined as the calculation of the value of confined aquifer discharge when we have prior information of coefficient of transmissibility. Discharge is denoted by Q symbol.

How to calculate Confined Aquifer Discharge given Coefficient of Transmissibility using this online calculator? To use this online calculator for Confined Aquifer Discharge given Coefficient of Transmissibility, enter Coefficient of Transmissibility (T_envi), Total Drawdown (s_t), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button. Here is how the Confined Aquifer Discharge given Coefficient of Transmissibility calculation can be explained with given input values -> 1.07059 = (2*pi*1.5*0.83)/(log((8.6/7.5),e)).

FAQ

What is Confined Aquifer Discharge given Coefficient of Transmissibility?

The Confined Aquifer Discharge given Coefficient of Transmissibility formula is defined as the calculation of the value of confined aquifer discharge when we have prior information of coefficient of transmissibility and is represented as Q = (2*pi*T_envi*s_t)/(log((R_w/r),e)) or Discharge = (2*pi*Coefficient of Transmissibility*Total Drawdown)/(log((Radius of Influence/Radius of Well),e)). Coefficient of Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer, The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test, 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 Confined Aquifer Discharge given Coefficient of Transmissibility?

The Confined Aquifer Discharge given Coefficient of Transmissibility formula is defined as the calculation of the value of confined aquifer discharge when we have prior information of coefficient of transmissibility is calculated using Discharge = (2*pi*Coefficient of Transmissibility*Total Drawdown)/(log((Radius of Influence/Radius of Well),e)). To calculate Confined Aquifer Discharge given Coefficient of Transmissibility, you need Coefficient of Transmissibility (T_envi), Total Drawdown (s_t), Radius of Influence (R_w) & Radius of Well (r). With our tool, you need to enter the respective value for Coefficient of Transmissibility, Total Drawdown, 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, Total Drawdown, Radius of Influence & Radius of Well. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),e))
Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),10))

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