Coefficient of Permeability given Discharge in Confined Aquifer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water in Well))/(log((Radius of Influence/Radius of well),e)))
KWH = Q/((2*pi*bp*(bw-hwell))/(log((Rw/r),e)))
This formula uses 2 Constants, 1 Functions, 7 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 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.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Aquifer Thickness During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.
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.
Depth of Water in Well - (Measured in Meter) - Depth of Water in Well is measured above the impermeable layer.
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
Aquifer Thickness During Pumping: 2.36 Meter --> 2.36 Meter No Conversion Required
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required
Depth of Water in Well: 10 Meter --> 10 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
KWH = Q/((2*pi*bp*(bw-hwell))/(log((Rw/r),e))) --> 1.01/((2*pi*2.36*(15-10))/(log((8.6/7.5),e)))
Evaluating ... ...
KWH = 0.0995372312010097
STEP 3: Convert Result to Output's Unit
0.0995372312010097 Meter per Second -->9.95372312010097 Centimeter per Second (Check conversion here)
FINAL ANSWER
9.95372312010097 9.953723 Centimeter per Second <-- Coefficient of Permeability in Well Hydraulics
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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5 Coefficient of Permeability Calculators

Coefficient of Permeability given Discharge in Confined Aquifer
Go Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water in Well))/(log((Radius of Influence/Radius of well),e)))
Coefficient of Permeability given Depth of Water in Two Wells
Go Coefficient of Permeability = Discharge/((2.72*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)))
Coefficient of Permeability given Confined Aquifer Discharge
Go Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e)))
Coefficient of Permeability given Discharge in Confined Aquifer with Base 10
Go Coefficient of Permeability in Well Hydraulics = Discharge/((2.72*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),10)))
Coefficient of Permeability given Confined Aquifer Discharge with Base 10
Go Coefficient of Permeability in Well Hydraulics = Discharge/((2.72*Aquifer Thickness*Total Drawdown in Well in Well Hydraulics)/(log((Radius of Influence/Radius of well),10)))

Coefficient of Permeability given Discharge in Confined Aquifer Formula

Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water in Well))/(log((Radius of Influence/Radius of well),e)))
KWH = Q/((2*pi*bp*(bw-hwell))/(log((Rw/r),e)))

What is Coefficient of Permeability?

The coefficient of permeability of a soil describes how easily a liquid will move through a soil. It is also commonly referred to as the hydraulic conductivity of a soil. This factor can be affected by the viscosity, or thickness(fluidity) of a liquid and its density.

How to Calculate Coefficient of Permeability given Discharge in Confined Aquifer?

Coefficient of Permeability given Discharge in Confined Aquifer calculator uses Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water in Well))/(log((Radius of Influence/Radius of well),e))) to calculate the Coefficient of Permeability in Well Hydraulics, The Coefficient of Permeability given Discharge in Confined Aquifer is defined as the value of coefficient of permeability when we have prior information of other parameters used. Coefficient of Permeability in Well Hydraulics is denoted by KWH symbol.

How to calculate Coefficient of Permeability given Discharge in Confined Aquifer using this online calculator? To use this online calculator for Coefficient of Permeability given Discharge in Confined Aquifer, enter Discharge (Q), Aquifer Thickness During Pumping (bp), Aquifer Thickness (bw), Depth of Water in Well (hwell), Radius of Influence (Rw) & Radius of well (r) and hit the calculate button. Here is how the Coefficient of Permeability given Discharge in Confined Aquifer calculation can be explained with given input values -> 995.3723 = 1.01/((2*pi*2.36*(15-10))/(log((8.6/7.5),e))).

FAQ

What is Coefficient of Permeability given Discharge in Confined Aquifer?
The Coefficient of Permeability given Discharge in Confined Aquifer is defined as the value of coefficient of permeability when we have prior information of other parameters used and is represented as KWH = Q/((2*pi*bp*(bw-hwell))/(log((Rw/r),e))) or Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water in Well))/(log((Radius of Influence/Radius of well),e))). Discharge is the rate of flow of a liquid, Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage, 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, Depth of Water in Well is measured above the impermeable layer, 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 Coefficient of Permeability given Discharge in Confined Aquifer?
The Coefficient of Permeability given Discharge in Confined Aquifer is defined as the value of coefficient of permeability when we have prior information of other parameters used is calculated using Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water in Well))/(log((Radius of Influence/Radius of well),e))). To calculate Coefficient of Permeability given Discharge in Confined Aquifer, you need Discharge (Q), Aquifer Thickness During Pumping (bp), Aquifer Thickness (bw), Depth of Water in Well (hwell), Radius of Influence (Rw) & Radius of well (r). With our tool, you need to enter the respective value for Discharge, Aquifer Thickness During Pumping, Aquifer Thickness, Depth of Water in Well, 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 Coefficient of Permeability in Well Hydraulics?
In this formula, Coefficient of Permeability in Well Hydraulics uses Discharge, Aquifer Thickness During Pumping, Aquifer Thickness, Depth of Water in Well, Radius of Influence & Radius of well. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Permeability in Well Hydraulics = Discharge/((2.72*Aquifer Thickness During Pumping*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),10)))
  • Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e)))
  • Coefficient of Permeability in Well Hydraulics = Discharge/((2.72*Aquifer Thickness*Total Drawdown in Well in Well Hydraulics)/(log((Radius of Influence/Radius of well),10)))
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