Coefficient of Permeability given Aquifer Loss Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Permeability = (log((Radius of Influence/Radius of Well in Eviron. Engin.),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness)
k = (log((R/r'),e))/(2*pi*B*bw)
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
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
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 in Eviron. Engin. - (Measured in Meter) - Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.
Aquifer Loss Coefficient - Aquifer Loss Coefficient is constant for a given flow rate.
Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
STEP 1: Convert Input(s) to Base Unit
Radius of Influence: 100 Meter --> 100 Meter No Conversion Required
Radius of Well in Eviron. Engin.: 2.94 Meter --> 2.94 Meter No Conversion Required
Aquifer Loss Coefficient: 28.25 --> No Conversion Required
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = (log((R/r'),e))/(2*pi*B*bw) --> (log((100/2.94),e))/(2*pi*28.25*15)
Evaluating ... ...
k = 0.000106496280427619
STEP 3: Convert Result to Output's Unit
0.000106496280427619 Meter per Second -->0.0106496280427619 Centimeter per Second (Check conversion here)
FINAL ANSWER
0.0106496280427619 0.01065 Centimeter per Second <-- Coefficient of Permeability
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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7 Aquifer Loss Calculators

Coefficient of Permeability given Aquifer Loss Coefficient
Go Coefficient of Permeability = (log((Radius of Influence/Radius of Well in Eviron. Engin.),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness)
Aquifer Loss Coefficient
Go Aquifer Loss Coefficient = (log((Radius of Influence/Radius of Well in Eviron. Engin.),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)
Radius of Well given Aquifer Loss Coefficient
Go Radius of Well in Eviron. Engin. = Radius of Influence in Eviron. Engin./exp(Aquifer Loss Coefficient*2*pi*Coefficient of Permeability*Aquifer Thickness)
Aquifer Loss given Drawdown
Go Aquifer loss = Total Drawdown in Well-Head Loss in well
Drawdown given Well Loss
Go Total Drawdown in Well = Aquifer loss+Head Loss in well
Aquifer Loss given Aquifer Loss Coefficient
Go Aquifer loss = Aquifer Loss Coefficient*Discharge
Discharge given Aquifer Loss
Go Discharge = Aquifer loss/Aquifer Loss Coefficient

Coefficient of Permeability given Aquifer Loss Coefficient Formula

Coefficient of Permeability = (log((Radius of Influence/Radius of Well in Eviron. Engin.),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness)
k = (log((R/r'),e))/(2*pi*B*bw)

What is Coefficient of Permeability?

The rate of flow under laminar flow conditions through a unit cross sectional are of porous medium under unit hydraulic gradient is defined as coefficient of permeability.

How to Calculate Coefficient of Permeability given Aquifer Loss Coefficient?

Coefficient of Permeability given Aquifer Loss Coefficient calculator uses Coefficient of Permeability = (log((Radius of Influence/Radius of Well in Eviron. Engin.),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness) to calculate the Coefficient of Permeability, The Coefficient of Permeability given Aquifer Loss Coefficient is defined as the value of coefficient of permeability when we have prior information of other parameters used. Coefficient of Permeability is denoted by k symbol.

How to calculate Coefficient of Permeability given Aquifer Loss Coefficient using this online calculator? To use this online calculator for Coefficient of Permeability given Aquifer Loss Coefficient, enter Radius of Influence (R), Radius of Well in Eviron. Engin. (r'), Aquifer Loss Coefficient (B) & Aquifer Thickness (bw) and hit the calculate button. Here is how the Coefficient of Permeability given Aquifer Loss Coefficient calculation can be explained with given input values -> 1.064963 = (log((100/2.94),e))/(2*pi*28.25*15).

FAQ

What is Coefficient of Permeability given Aquifer Loss Coefficient?
The Coefficient of Permeability given Aquifer Loss Coefficient is defined as the value of coefficient of permeability when we have prior information of other parameters used and is represented as k = (log((R/r'),e))/(2*pi*B*bw) or Coefficient of Permeability = (log((Radius of Influence/Radius of Well in Eviron. Engin.),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness). Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table, Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary, Aquifer Loss Coefficient is constant for a given flow rate & Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
How to calculate Coefficient of Permeability given Aquifer Loss Coefficient?
The Coefficient of Permeability given Aquifer Loss Coefficient is defined as the value of coefficient of permeability when we have prior information of other parameters used is calculated using Coefficient of Permeability = (log((Radius of Influence/Radius of Well in Eviron. Engin.),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness). To calculate Coefficient of Permeability given Aquifer Loss Coefficient, you need Radius of Influence (R), Radius of Well in Eviron. Engin. (r'), Aquifer Loss Coefficient (B) & Aquifer Thickness (bw). With our tool, you need to enter the respective value for Radius of Influence, Radius of Well in Eviron. Engin, Aquifer Loss Coefficient & Aquifer Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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