Coefficient of Permeability given Aquifer Loss Coefficient Calculator

✖The Radius of Investigation refers to the maximum distance from a pumping well where the properties of the aquifer significantly influence the drawdown at the well.ⓘ Radius of Investigation [R]			+10% -10%
✖The Radius of Well refers to the distance from center of well to its outer boundary.ⓘ Radius of Well [r^']			+10% -10%
✖Aquifer Loss Coefficient is constant for a given flow rate.ⓘ Aquifer Loss Coefficient [B]			+10% -10%
✖The Aquifer Thickness (at Midpoint between Equipotential lines) refers to the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.ⓘ Aquifer Thickness [b_w]			+10% -10%

✖The Coefficient of Permeability refers to the measure how easily a fluid can flow through a porous material, such as soil or rock, also known as hydraulic conductivity.ⓘ Coefficient of Permeability given Aquifer Loss Coefficient [k]

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Coefficient of Permeability given Aquifer Loss Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Permeability = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness)
k = (log((R/r^'),e))/(2*pi*B*b_w)
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 refers to the measure how easily a fluid can flow through a porous material, such as soil or rock, also known as hydraulic conductivity.
Radius of Investigation - (Measured in Meter) - The Radius of Investigation refers to the maximum distance from a pumping well where the properties of the aquifer significantly influence the drawdown at the well.
Radius of Well - (Measured in Meter) - The Radius of Well refers to 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) - The Aquifer Thickness (at Midpoint between Equipotential lines) refers to 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 Investigation: 100 Meter --> 100 Meter No Conversion Required
Radius of Well: 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*b_w) --> (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 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Aquifer Loss Calculators

Aquifer Loss Coefficient

LaTeX Go Aquifer Loss Coefficient = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)

Aquifer Loss given Aquifer Loss Coefficient

LaTeX Go Aquifer Loss = Aquifer Loss Coefficient*Discharge

Aquifer Loss given Drawdown

LaTeX Go Aquifer Loss = Total Drawdown-Head Loss in Well

Drawdown given Well Loss

LaTeX Go Total Drawdown = Aquifer Loss+Head Loss in Well

Coefficient of Permeability given Aquifer Loss Coefficient Formula

LaTeX Go

Coefficient of Permeability = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness)
k = (log((R/r^'),e))/(2*pi*B*b_w)

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 Investigation/Radius of Well),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness) to calculate the Coefficient of Permeability, The Coefficient of Permeability given Aquifer Loss Coefficient formula is defined as a measure of how easily water can flow through an aquifer, which is a critical parameter in groundwater flow and contaminant transport studies, allowing for the estimation of aquifer properties and prediction of groundwater flow patterns. 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 Investigation (R), Radius of Well (r^'), Aquifer Loss Coefficient (B) & Aquifer Thickness (b_w) 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 formula is defined as a measure of how easily water can flow through an aquifer, which is a critical parameter in groundwater flow and contaminant transport studies, allowing for the estimation of aquifer properties and prediction of groundwater flow patterns and is represented as k = (log((R/r^'),e))/(2*pi*B*b_w) or Coefficient of Permeability = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness). The Radius of Investigation refers to the maximum distance from a pumping well where the properties of the aquifer significantly influence the drawdown at the well, The Radius of Well refers to the distance from center of well to its outer boundary, Aquifer Loss Coefficient is constant for a given flow rate & The Aquifer Thickness (at Midpoint between Equipotential lines) refers to 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 formula is defined as a measure of how easily water can flow through an aquifer, which is a critical parameter in groundwater flow and contaminant transport studies, allowing for the estimation of aquifer properties and prediction of groundwater flow patterns is calculated using Coefficient of Permeability = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Aquifer Loss Coefficient*Aquifer Thickness). To calculate Coefficient of Permeability given Aquifer Loss Coefficient, you need Radius of Investigation (R), Radius of Well (r^'), Aquifer Loss Coefficient (B) & Aquifer Thickness (b_w). With our tool, you need to enter the respective value for Radius of Investigation, Radius of Well, 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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