Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Aquifer Thickness^2-Depth of Water in Well^2))/(log((Radius of Influence/Radius of Well),10)))
KWH = Q/((1.36*(bw^2-hwell^2))/(log((Rw/r),10)))
This formula uses 1 Functions, 6 Variables
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 flow rate of water that is extracted from or injected into a well.
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: 14.15 Meter --> 14.15 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/((1.36*(bw^2-hwell^2))/(log((Rw/r),10))) --> 1.01/((1.36*(14.15^2-10^2))/(log((8.6/7.5),10)))
Evaluating ... ...
KWH = 0.124669144739703
STEP 3: Convert Result to Output's Unit
0.124669144739703 Meter per Second -->12.4669144739703 Centimeter per Second (Check conversion ​here)
FINAL ANSWER
12.4669144739703 12.46691 Centimeter per Second <-- Coefficient of Permeability in Well Hydraulics
(Calculation completed in 00.020 seconds)

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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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Coefficient of Permeability Calculators

Coefficient of Permeability given Discharge in Unconfined Aquifer
​ LaTeX ​ Go Coefficient of Permeability in Well Hydraulics = Discharge/((pi*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e)))
Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10
​ LaTeX ​ Go Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Aquifer Thickness^2-Depth of Water in Well^2))/(log((Radius of Influence/Radius of Well),10)))
Coefficient of Permeability given Rate of Flow
​ LaTeX ​ Go Coefficient of Permeability given Rate of Flow = (Discharge/(Hydraulic Gradient in Envi. Engi.*Area of Cross Section in Enviro. Engin.))
Coefficient of Permeability given Flow Velocity
​ LaTeX ​ Go Coefficient of Permeability given Flow Velocity = (Flow Velocity/Hydraulic Gradient in Envi. Engi.)

Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10 Formula

​LaTeX ​Go
Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Aquifer Thickness^2-Depth of Water in Well^2))/(log((Radius of Influence/Radius of Well),10)))
KWH = Q/((1.36*(bw^2-hwell^2))/(log((Rw/r),10)))

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 Unconfined Aquifer with Base 10?

Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10 calculator uses Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Aquifer Thickness^2-Depth of Water in Well^2))/(log((Radius of Influence/Radius of Well),10))) to calculate the Coefficient of Permeability in Well Hydraulics, The Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10 formula is defined as the value of coefficient of permeability when we have prior information of discharge in unconfined aquifer. Coefficient of Permeability in Well Hydraulics is denoted by KWH symbol.

How to calculate Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10 using this online calculator? To use this online calculator for Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10, enter Discharge (Q), 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 Unconfined Aquifer with Base 10 calculation can be explained with given input values -> 999.5723 = 1.01/((1.36*(14.15^2-10^2))/(log((8.6/7.5),10))).

FAQ

What is Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10?
The Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10 formula is defined as the value of coefficient of permeability when we have prior information of discharge in unconfined aquifer and is represented as KWH = Q/((1.36*(bw^2-hwell^2))/(log((Rw/r),10))) or Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Aquifer Thickness^2-Depth of Water in Well^2))/(log((Radius of Influence/Radius of Well),10))). Discharge is the flow rate of water that is extracted from or injected into a well, 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 Unconfined Aquifer with Base 10?
The Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10 formula is defined as the value of coefficient of permeability when we have prior information of discharge in unconfined aquifer is calculated using Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Aquifer Thickness^2-Depth of Water in Well^2))/(log((Radius of Influence/Radius of Well),10))). To calculate Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10, you need Discharge (Q), 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, 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, 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/((pi*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e)))
  • Coefficient of Permeability in Well Hydraulics = Discharge/((pi*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Observation Well 1 Radial Distance),e)))
  • Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Well 1),10)))
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