Drawdown at Well given Confined Aquifer Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Drawdown in Well in Well Hydraulics = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of well),e)))
Stw = Q/((2*pi*KWH*bp)/(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
Total Drawdown in Well in Well Hydraulics - (Measured in Meter) - Total Drawdown in Well in Well Hydraulics 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 rate of flow of a liquid.
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
Stw = Q/((2*pi*KWH*bp)/(log((Rw/r),e))) --> 1.01/((2*pi*0.1*2.36)/(log((8.6/7.5),e)))
Evaluating ... ...
Stw = 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 in Well Hydraulics
(Calculation completed in 00.004 seconds)

Credits

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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4 Drawdown at well Calculators

Drawdown at Well given Confined Aquifer Discharge
Go Total Drawdown in Well in Well Hydraulics = 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
Go Total Drawdown in Well in Well Hydraulics = 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
Go Total Drawdown in Well = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of well),e)))
Drawdown at Well given Coefficient of Transmissibility with Base 10
Go Total Drawdown in Well in Well Hydraulics = Discharge/((2.72*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of well),10)))

Drawdown at Well given Confined Aquifer Discharge Formula

Total Drawdown in Well in Well Hydraulics = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of well),e)))
Stw = Q/((2*pi*KWH*bp)/(log((Rw/r),e)))

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 in Well Hydraulics = 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 in Well Hydraulics, The Drawdown at Well given Confined Aquifer Discharge is defined as the value of drawdown at well when we have prior information of other parameters used. Total Drawdown in Well in Well Hydraulics is denoted by Stw 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 (KWH), Aquifer Thickness During Pumping (bp), Radius of Influence (Rw) & 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 is defined as the value of drawdown at well when we have prior information of other parameters used and is represented as Stw = Q/((2*pi*KWH*bp)/(log((Rw/r),e))) or Total Drawdown in Well in Well Hydraulics = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of well),e))). Discharge is the rate of flow of a liquid, 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 is defined as the value of drawdown at well when we have prior information of other parameters used is calculated using Total Drawdown in Well in Well Hydraulics = 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 (KWH), Aquifer Thickness During Pumping (bp), Radius of Influence (Rw) & 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 Well Hydraulics?
In this formula, Total Drawdown in Well in Well Hydraulics 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 in Well Hydraulics = Discharge/((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness)/(log((Radius of Influence/Radius of well),10)))
  • Total Drawdown in Well in Well Hydraulics = Discharge/((2.72*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of well),10)))
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