Aquifer Loss Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Aquifer Loss Coefficient = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)
B = (log((R/r'),e))/(2*pi*k*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
Aquifer Loss Coefficient - Aquifer Loss Coefficient is constant for a given flow rate.
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.
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.
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
Coefficient of Permeability: 0.01 Centimeter per Second --> 0.0001 Meter per Second (Check conversion ​here)
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = (log((R/r'),e))/(2*pi*k*bw) --> (log((100/2.94),e))/(2*pi*0.0001*15)
Evaluating ... ...
B = 30.0851992208024
STEP 3: Convert Result to Output's Unit
30.0851992208024 --> No Conversion Required
FINAL ANSWER
30.0851992208024 30.0852 <-- Aquifer Loss Coefficient
(Calculation completed in 00.004 seconds)

Credits

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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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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

Aquifer Loss Coefficient Formula

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

What is Aquifer?

An aquifer is a body of rock and/or sediment that holds groundwater. Groundwater is the word used to describe precipitation that has infiltrated the soil beyond the surface and collected in empty spaces underground.

How to Calculate Aquifer Loss Coefficient?

Aquifer Loss Coefficient calculator uses Aquifer Loss Coefficient = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness) to calculate the Aquifer Loss Coefficient, The Aquifer Loss Coefficient formula is defined as the measure of the loss of energy or head that occurs as water flows through an aquifer, which is a critical component in the design and operation of groundwater wells and aquifer systems. Aquifer Loss Coefficient is denoted by B symbol.

How to calculate Aquifer Loss Coefficient using this online calculator? To use this online calculator for Aquifer Loss Coefficient, enter Radius of Investigation (R), Radius of Well (r'), Coefficient of Permeability (k) & Aquifer Thickness (bw) and hit the calculate button. Here is how the Aquifer Loss Coefficient calculation can be explained with given input values -> 30.0852 = (log((100/2.94),e))/(2*pi*0.0001*15).

FAQ

What is Aquifer Loss Coefficient?
The Aquifer Loss Coefficient formula is defined as the measure of the loss of energy or head that occurs as water flows through an aquifer, which is a critical component in the design and operation of groundwater wells and aquifer systems and is represented as B = (log((R/r'),e))/(2*pi*k*bw) or Aquifer Loss Coefficient = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Coefficient of Permeability*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, 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 & 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 Aquifer Loss Coefficient?
The Aquifer Loss Coefficient formula is defined as the measure of the loss of energy or head that occurs as water flows through an aquifer, which is a critical component in the design and operation of groundwater wells and aquifer systems is calculated using Aquifer Loss Coefficient = (log((Radius of Investigation/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness). To calculate Aquifer Loss Coefficient, you need Radius of Investigation (R), Radius of Well (r'), Coefficient of Permeability (k) & Aquifer Thickness (bw). With our tool, you need to enter the respective value for Radius of Investigation, Radius of Well, Coefficient of Permeability & 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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