Coefficient of Permeability when Interference among Well is Present Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Permeability = Discharge by Each Well when Two Well Interference*(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))
K = Qt*(log((R^2)/(r*B),e))/(2*pi*b*(H-hw))
This formula uses 2 Constants, 1 Functions, 8 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 - (Measured in Meter per Second) - Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces.
Discharge by Each Well when Two Well Interference - (Measured in Cubic Meter per Second) - Discharge by Each Well when Two Well Interference is the sum of the individual well rates, adjusted for interference.
Radius of Influence - (Measured in Meter) - The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible.
Radius of Well - (Measured in Meter) - The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius.
Distance Between Wells - (Measured in Meter) - Distance Between Wells refers to the center to center distance between the 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.
Initial Piezometric Surface - (Measured in Meter) - The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence.
Depth of Water - (Measured in Meter) - Depth of Water is the depth in the well measured above the impermeable layer.
STEP 1: Convert Input(s) to Base Unit
Discharge by Each Well when Two Well Interference: 12.26 Cubic Meter per Second --> 12.26 Cubic Meter per Second No Conversion Required
Radius of Influence: 100 Meter --> 100 Meter No Conversion Required
Radius of Well: 2.94 Meter --> 2.94 Meter No Conversion Required
Distance Between Wells: 2.93 Meter --> 2.93 Meter No Conversion Required
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required
Initial Piezometric Surface: 20 Meter --> 20 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = Qt*(log((R^2)/(r*B),e))/(2*pi*b*(H-hw)) --> 12.26*(log((100^2)/(2.94*2.93),e))/(2*pi*15*(20-2.44))
Evaluating ... ...
K = 0.00104973365737606
STEP 3: Convert Result to Output's Unit
0.00104973365737606 Meter per Second -->0.104973365737606 Centimeter per Second (Check conversion ​here)
FINAL ANSWER
0.104973365737606 0.104973 Centimeter per Second <-- Coefficient of Permeability
(Calculation completed in 00.009 seconds)

Credits

Creator Image
Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2100+ more calculators!
Verifier Image
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

Interference Among Wells Calculators

Thickness of Aquifer from Impermeable Layer when Interference among Well is Present
​ LaTeX ​ Go Initial Piezometric Surface = Depth of Water+((Discharge by Each Well when Two Well Interference*log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness))
Discharge through Each Well when Interference among Well is Present
​ LaTeX ​ Go Discharge by Each Well when Two Well Interference = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))/(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))
Coefficient of Permeability when Interference among Well is Present
​ LaTeX ​ Go Coefficient of Permeability = Discharge by Each Well when Two Well Interference*(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))
Aquifer Thickness when Interference among Well is Present
​ LaTeX ​ Go Aquifer Thickness = Discharge by Each Well when Two Well Interference*(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water))

Coefficient of Permeability when Interference among Well is Present Formula

​LaTeX ​Go
Coefficient of Permeability = Discharge by Each Well when Two Well Interference*(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water))
K = Qt*(log((R^2)/(r*B),e))/(2*pi*b*(H-hw))

What is Coefficient of Permeability?

The rate of flow under laminar flow conditions through a unit cross sectional are of porous medium under unit hydraulic gradient is defined as coefficient of permeability.

How to Calculate Coefficient of Permeability when Interference among Well is Present?

Coefficient of Permeability when Interference among Well is Present calculator uses Coefficient of Permeability = Discharge by Each Well when Two Well Interference*(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)) to calculate the Coefficient of Permeability, Coefficient of Permeability when Interference among Well is Present formula is defined as a measure of the ability of an aquifer to transmit water when there is interference among wells, taking into account the radius of influence, well spacing, and other factors that affect groundwater flow. Coefficient of Permeability is denoted by K symbol.

How to calculate Coefficient of Permeability when Interference among Well is Present using this online calculator? To use this online calculator for Coefficient of Permeability when Interference among Well is Present, enter Discharge by Each Well when Two Well Interference (Qt), Radius of Influence (R), Radius of Well (r), Distance Between Wells (B), Aquifer Thickness (b), Initial Piezometric Surface (H) & Depth of Water (hw) and hit the calculate button. Here is how the Coefficient of Permeability when Interference among Well is Present calculation can be explained with given input values -> 10.49734 = 12.26*(log((100^2)/(2.94*2.93),e))/(2*pi*15*(20-2.44)).

FAQ

What is Coefficient of Permeability when Interference among Well is Present?
Coefficient of Permeability when Interference among Well is Present formula is defined as a measure of the ability of an aquifer to transmit water when there is interference among wells, taking into account the radius of influence, well spacing, and other factors that affect groundwater flow and is represented as K = Qt*(log((R^2)/(r*B),e))/(2*pi*b*(H-hw)) or Coefficient of Permeability = Discharge by Each Well when Two Well Interference*(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)). Discharge by Each Well when Two Well Interference is the sum of the individual well rates, adjusted for interference, The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible, The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius, Distance Between Wells refers to the center to center distance between the 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, The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence & Depth of Water is the depth in the well measured above the impermeable layer.
How to calculate Coefficient of Permeability when Interference among Well is Present?
Coefficient of Permeability when Interference among Well is Present formula is defined as a measure of the ability of an aquifer to transmit water when there is interference among wells, taking into account the radius of influence, well spacing, and other factors that affect groundwater flow is calculated using Coefficient of Permeability = Discharge by Each Well when Two Well Interference*(log((Radius of Influence^2)/(Radius of Well*Distance Between Wells),e))/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)). To calculate Coefficient of Permeability when Interference among Well is Present, you need Discharge by Each Well when Two Well Interference (Qt), Radius of Influence (R), Radius of Well (r), Distance Between Wells (B), Aquifer Thickness (b), Initial Piezometric Surface (H) & Depth of Water (hw). With our tool, you need to enter the respective value for Discharge by Each Well when Two Well Interference, Radius of Influence, Radius of Well, Distance Between Wells, Aquifer Thickness, Initial Piezometric Surface & Depth of Water 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 this formula, Coefficient of Permeability uses Discharge by Each Well when Two Well Interference, Radius of Influence, Radius of Well, Distance Between Wells, Aquifer Thickness, Initial Piezometric Surface & Depth of Water. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Permeability = Discharge by Each Well at Three Well Interference*(log((Radius of Influence^3)/(Radius of Well*Distance Between Wells^2),e)/(2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!