Drawdown at Well given Confined Aquifer Discharge Calculator

✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+10% -10%
✖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%
✖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%

✖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.ⓘ Drawdown at Well given Confined Aquifer Discharge [S_tw]

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Drawdown at Well given Confined Aquifer Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Drawdown in Well = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of Well),e)))
S_tw = Q/((2*pi*K_WH*b_p)/(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

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.
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.
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

Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
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
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

S_tw = Q/((2*pi*K_WH*b_p)/(log((R_w/r),e))) --> 1.01/((2*pi*0.1*2.36)/(log((8.6/7.5),e)))

Evaluating ... ...

S_tw = 4.97686156005049

STEP 3: Convert Result to Output's Unit

4.97686156005049 Meter --> No Conversion Required

FINAL ANSWER

4.97686156005049 ≈ 4.976862 Meter <-- Total Drawdown in Well

(Calculation completed in 00.005 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Drawdown at well Calculators

Drawdown at Well given Confined Aquifer Discharge

LaTeX Go Total Drawdown in Well = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of Well),e)))

Drawdown at Well given Confined Aquifer Discharge with Base 10

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

Drawdown at Well given Coefficient of Transmissibility

LaTeX Go Total Drawdown = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),e)))

Drawdown at Well given Coefficient of Transmissibility with Base 10

LaTeX Go Total Drawdown in Well = Discharge/((2.72*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),10)))

Drawdown at Well given Confined Aquifer Discharge Formula

LaTeX Go

What is Drawdown?

A drawdown is a peak-to-trough decline during a specific period for an investment, trading account, or fund. A drawdown is usually quoted as the percentage between the peak and the subsequent trough.

How to Calculate Drawdown at Well given Confined Aquifer Discharge?

Drawdown at Well given Confined Aquifer Discharge calculator uses Total Drawdown in Well = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of Well),e))) to calculate the Total Drawdown in Well, The Drawdown at Well given Confined Aquifer Discharge formula is defined as the value of drawdown at well when we have prior information of confined aquifer discharge. Total Drawdown in Well is denoted by S_tw symbol.

How to calculate Drawdown at Well given Confined Aquifer Discharge using this online calculator? To use this online calculator for Drawdown at Well given Confined Aquifer Discharge, enter Discharge (Q), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button. Here is how the Drawdown at Well given Confined Aquifer Discharge calculation can be explained with given input values -> 4.976862 = 1.01/((2*pi*0.1*2.36)/(log((8.6/7.5),e))).

FAQ

What is Drawdown at Well given Confined Aquifer Discharge?

The Drawdown at Well given Confined Aquifer Discharge formula is defined as the value of drawdown at well when we have prior information of confined aquifer discharge and is represented as S_tw = Q/((2*pi*K_WH*b_p)/(log((R_w/r),e))) or Total Drawdown in Well = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of Well),e))). Discharge is the flow rate of water that is extracted from or injected into a well, 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, 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 Drawdown at Well given Confined Aquifer Discharge?

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

In this formula, Total Drawdown in Well uses Discharge, Coefficient of Permeability in Well Hydraulics, Aquifer Thickness During Pumping, Radius of Influence & Radius of Well. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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