Coefficient of Permeability given Discharge in Unconfined Aquifer Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
KWH = Q/((pi*(H^2-hw^2))/(log((Rw/r),e)))
This formula uses 2 Constants, 1 Functions, 6 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.
Thickness of Unconfined Aquifer - (Measured in Meter) - Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table.
Depth of Water - (Measured in Meter) - Depth of Water in the well 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
Thickness of Unconfined Aquifer: 5 Meter --> 5 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 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/((pi*(H^2-hw^2))/(log((Rw/r),e))) --> 1.01/((pi*(5^2-2.44^2))/(log((8.6/7.5),e)))
Evaluating ... ...
KWH = 0.123334522867515
STEP 3: Convert Result to Output's Unit
0.123334522867515 Meter per Second -->12.3334522867515 Centimeter per Second (Check conversion here)
FINAL ANSWER
12.3334522867515 12.33345 Centimeter per Second <-- Coefficient of Permeability in Well Hydraulics
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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8 Coefficient of Permeability Calculators

Coefficient of Permeability given Discharge of Two Wells under Consideration
Go 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/Radial Distance at Observation Well 1),e)))
Coefficient of Permeability given Discharge in Unconfined Aquifer
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 and Length of Strainer
Go Coefficient of Permeability in Well Hydraulics = Discharge/((2.72*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of well),10)))
Coefficient of Permeability given Discharge from Two Wells with Base 10
Go 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 Observation Well 1),10)))
Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10
Go Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10)))
Coefficient of Permeability given Rate of Flow
Go Coefficient of Permeability in Well Hydraulics = (Rate of Flow/(Hydraulic Gradient*Area of Cross Section in Enviro. Engin.))
Coefficient of Permeability given Radius of Influence
Go Coefficient of Permeability in Well Hydraulics = (Radius of Influence/(3000*Total Drawdown in Well))^2
Coefficient of Permeability given Flow Velocity
Go Coefficient of Permeability in Well Hydraulics = (Flow Velocity/Hydraulic Gradient)

Coefficient of Permeability given Discharge in Unconfined Aquifer Formula

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)))
KWH = Q/((pi*(H^2-hw^2))/(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.

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

Coefficient of Permeability given Discharge in Unconfined Aquifer calculator uses 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))) to calculate the Coefficient of Permeability in Well Hydraulics, Coefficient of Permeability given Discharge in Unconfined Aquifer calculates 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 Unconfined Aquifer using this online calculator? To use this online calculator for Coefficient of Permeability given Discharge in Unconfined Aquifer, enter Discharge (Q), Thickness of Unconfined Aquifer (H), Depth of Water (hw), 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 calculation can be explained with given input values -> 586.7401 = 1.01/((pi*(5^2-2.44^2))/(log((8.6/7.5),e))).

FAQ

What is Coefficient of Permeability given Discharge in Unconfined Aquifer?
Coefficient of Permeability given Discharge in Unconfined Aquifer calculates value of coefficient of permeability when we have prior information of other parameters used and is represented as KWH = Q/((pi*(H^2-hw^2))/(log((Rw/r),e))) or 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))). Discharge is the rate of flow of a liquid, Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table, Depth of Water in the well 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?
Coefficient of Permeability given Discharge in Unconfined Aquifer calculates value of coefficient of permeability when we have prior information of other parameters used is calculated using 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))). To calculate Coefficient of Permeability given Discharge in Unconfined Aquifer, you need Discharge (Q), Thickness of Unconfined Aquifer (H), Depth of Water (hw), Radius of Influence (Rw) & Radius of well (r). With our tool, you need to enter the respective value for Discharge, Thickness of Unconfined Aquifer, Depth of Water, 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, Thickness of Unconfined Aquifer, Depth of Water, Radius of Influence & Radius of well. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Permeability in Well Hydraulics = (Rate of Flow/(Hydraulic Gradient*Area of Cross Section in Enviro. Engin.))
  • Coefficient of Permeability in Well Hydraulics = (Flow Velocity/Hydraulic Gradient)
  • Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10)))
  • Coefficient of Permeability in Well Hydraulics = (Radius of Influence/(3000*Total Drawdown in Well))^2
  • 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/Radial Distance at Observation Well 1),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 Observation Well 1),10)))
  • Coefficient of Permeability in Well Hydraulics = Discharge/((2.72*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of well),10)))
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