Coefficient of Permeability given Discharge of Two Wells under Consideration Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
KWH = Q/((pi*(h2^2-h1^2))/(log((r2/r1''),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 flow rate of water that is extracted from or injected into a well.
Depth of Water 2 - (Measured in Meter) - Depth of water 2 means the depth of the water in 2nd well.
Depth of Water 1 - (Measured in Meter) - Depth of Water 1 is the depth of water in the 1st considered well.
Radial Distance at Observation Well 2 - (Measured in Meter) - Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.
Observation Well 1 Radial Distance - (Measured in Meter) - Observation Well 1 Radial Distance is the value of radial distance from well 1 when we have prior information of other parameters used.
STEP 1: Convert Input(s) to Base Unit
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Depth of Water 2: 17.8644 Meter --> 17.8644 Meter No Conversion Required
Depth of Water 1: 17.85 Meter --> 17.85 Meter No Conversion Required
Radial Distance at Observation Well 2: 10 Meter --> 10 Meter No Conversion Required
Observation Well 1 Radial Distance: 0.03 Meter --> 0.03 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KWH = Q/((pi*(h2^2-h1^2))/(log((r2/r1''),e))) --> 1.01/((pi*(17.8644^2-17.85^2))/(log((10/0.03),e)))
Evaluating ... ...
KWH = 0.107610236027561
STEP 3: Convert Result to Output's Unit
0.107610236027561 Meter per Second -->10.7610236027561 Centimeter per Second (Check conversion ​here)
FINAL ANSWER
10.7610236027561 10.76102 Centimeter per Second <-- Coefficient of Permeability in Well Hydraulics
(Calculation completed in 00.007 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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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 of Two Wells under Consideration Formula

​LaTeX ​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/Observation Well 1 Radial Distance),e)))
KWH = Q/((pi*(h2^2-h1^2))/(log((r2/r1''),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 of Two Wells under Consideration?

Coefficient of Permeability given Discharge of Two Wells under Consideration calculator uses 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))) to calculate the Coefficient of Permeability in Well Hydraulics, The Coefficient of Permeability given Discharge of Two Wells under Consideration is defined as the value of coefficient of permeability when we have prior information of discharge of two well under consideration. Coefficient of Permeability in Well Hydraulics is denoted by KWH symbol.

How to calculate Coefficient of Permeability given Discharge of Two Wells under Consideration using this online calculator? To use this online calculator for Coefficient of Permeability given Discharge of Two Wells under Consideration, enter Discharge (Q), Depth of Water 2 (h2), Depth of Water 1 (h1), Radial Distance at Observation Well 2 (r2) & Observation Well 1 Radial Distance (r1'') and hit the calculate button. Here is how the Coefficient of Permeability given Discharge of Two Wells under Consideration calculation can be explained with given input values -> 1076.102 = 1.01/((pi*(17.8644^2-17.85^2))/(log((10/0.03),e))).

FAQ

What is Coefficient of Permeability given Discharge of Two Wells under Consideration?
The Coefficient of Permeability given Discharge of Two Wells under Consideration is defined as the value of coefficient of permeability when we have prior information of discharge of two well under consideration and is represented as KWH = Q/((pi*(h2^2-h1^2))/(log((r2/r1''),e))) or 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))). Discharge is the flow rate of water that is extracted from or injected into a well, Depth of water 2 means the depth of the water in 2nd well, Depth of Water 1 is the depth of water in the 1st considered well, Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used & Observation Well 1 Radial Distance is the value of radial distance from well 1 when we have prior information of other parameters used.
How to calculate Coefficient of Permeability given Discharge of Two Wells under Consideration?
The Coefficient of Permeability given Discharge of Two Wells under Consideration is defined as the value of coefficient of permeability when we have prior information of discharge of two well under consideration is calculated using 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))). To calculate Coefficient of Permeability given Discharge of Two Wells under Consideration, you need Discharge (Q), Depth of Water 2 (h2), Depth of Water 1 (h1), Radial Distance at Observation Well 2 (r2) & Observation Well 1 Radial Distance (r1''). With our tool, you need to enter the respective value for Discharge, Depth of Water 2, Depth of Water 1, Radial Distance at Observation Well 2 & Observation Well 1 Radial Distance 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, Depth of Water 2, Depth of Water 1, Radial Distance at Observation Well 2 & Observation Well 1 Radial Distance. 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/((1.36*(Aquifer Thickness^2-Depth of Water in Well^2))/(log((Radius of Influence/Radius of Well),10)))
  • 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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