Confined Aquifer Discharge given Drawdown at Well Calculator

✖Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Well Hydraulics [K_WH]			+10% -10%
✖Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.ⓘ Aquifer Thickness During Pumping [b_p]			+10% -10%
✖Total Drawdown in Well 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 in Well [S_tw]			+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 Drawdown at Well [Q]

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Confined Aquifer Discharge given Drawdown at Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q = (2*pi*K_WH*b_p*S_tw)/(log((R_w/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 flow rate of water that is extracted from or injected into a well.
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.
Total Drawdown in Well - (Measured in Meter) - Total Drawdown in Well 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 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
Total Drawdown in Well: 4.93 Meter --> 4.93 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*K_WH*b_p*S_tw)/(log((R_w/r),e)) --> (2*pi*0.1*2.36*4.93)/(log((8.6/7.5),e))

Evaluating ... ...

Q = 1.00048995535039

STEP 3: Convert Result to Output's Unit

1.00048995535039 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.00048995535039 ≈ 1.00049 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

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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 Drawdown at Well Formula

LaTeX Go

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 Drawdown at Well?

Confined Aquifer Discharge given Drawdown at Well calculator uses 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)) to calculate the Discharge, The Confined Aquifer Discharge given Drawdown at Well formula is defined as the value of discharge in confined aquifer when we have prior information of drawdown at well. Discharge is denoted by Q symbol.

How to calculate Confined Aquifer Discharge given Drawdown at Well using this online calculator? To use this online calculator for Confined Aquifer Discharge given Drawdown at Well, enter Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Total Drawdown in Well (S_tw), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button. Here is how the Confined Aquifer Discharge given Drawdown at Well calculation can be explained with given input values -> 1.00049 = (2*pi*0.1*2.36*4.93)/(log((8.6/7.5),e)).

FAQ

What is Confined Aquifer Discharge given Drawdown at Well?

The Confined Aquifer Discharge given Drawdown at Well formula is defined as the value of discharge in confined aquifer when we have prior information of drawdown at well and is represented as Q = (2*pi*K_WH*b_p*S_tw)/(log((R_w/r),e)) or 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)). 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, Total Drawdown in Well 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 Drawdown at Well?

The Confined Aquifer Discharge given Drawdown at Well formula is defined as the value of discharge in confined aquifer when we have prior information of drawdown at well is calculated using 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)). To calculate Confined Aquifer Discharge given Drawdown at Well, you need Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Total Drawdown in Well (S_tw), Radius of Influence (R_w) & Radius of Well (r). With our tool, you need to enter the respective value for Coefficient of Permeability in Well Hydraulics, Aquifer Thickness During Pumping, Total Drawdown in Well, 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 Permeability in Well Hydraulics, Aquifer Thickness During Pumping, Total Drawdown in Well, 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 = (2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),10))
Discharge = (2*pi*Coefficient of Transmissibility*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))

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