Coefficient of Permeability when Interference among Three Well is Present Calculator

✖Discharge by Each Well at Three Well Interference is the sum of the individual well rates, adjusted for interference.ⓘ Discharge by Each Well at Three Well Interference [Q_th]			+10% -10%
✖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 Influence [R]			+10% -10%
✖The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius.ⓘ Radius of Well [r]			+10% -10%
✖Distance Between Wells refers to the center to center distance between the well.ⓘ Distance Between Wells [B]			+10% -10%
✖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.ⓘ Aquifer Thickness [b]			+10% -10%
✖The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence.ⓘ Initial Piezometric Surface [H]			+10% -10%
✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%

✖Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces.ⓘ Coefficient of Permeability when Interference among Three Well is Present [K]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF PDF Image

Coefficient of Permeability when Interference among Three Well is Present Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
K = Q_th*(log((R^3)/(r*B^2),e)/(2*pi*b*(H-h_w)))
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 at Three Well Interference - (Measured in Cubic Meter per Second) - Discharge by Each Well at Three 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 at Three Well Interference: 18.397 Cubic Meter per Second --> 18.397 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 = Q_th*(log((R^3)/(r*B^2),e)/(2*pi*b*(H-h_w))) --> 18.397*(log((100^3)/(2.94*2.93^2),e)/(2*pi*15*(20-2.44)))

Evaluating ... ...

K = 0.00104996425184816

STEP 3: Convert Result to Output's Unit

0.00104996425184816 Meter per Second -->0.104996425184816 Centimeter per Second (Check conversion here)

FINAL ANSWER

0.104996425184816 ≈ 0.104996 Centimeter per Second <-- Coefficient of Permeability

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Water Resources Ground Water » Flow in Wells » Interference Among Wells » Coefficient of Permeability when Interference among Three Well is Present

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

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 Three Well is Present Formula

LaTeX Go

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 Three Well is Present?

Coefficient of Permeability when Interference among Three Well is Present calculator uses 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))) to calculate the Coefficient of Permeability, Coefficient of Permeability when Interference among Three Well is Present formula is defined as a measure of the ability of a porous medium to transmit fluids when three wells are interfering with each other, which is essential in understanding the flow behavior in wells and optimizing the production of fluids from these wells. Coefficient of Permeability is denoted by K symbol.

How to calculate Coefficient of Permeability when Interference among Three Well is Present using this online calculator? To use this online calculator for Coefficient of Permeability when Interference among Three Well is Present, enter Discharge by Each Well at Three Well Interference (Q_th), Radius of Influence (R), Radius of Well (r), Distance Between Wells (B), Aquifer Thickness (b), Initial Piezometric Surface (H) & Depth of Water (h_w) and hit the calculate button. Here is how the Coefficient of Permeability when Interference among Three Well is Present calculation can be explained with given input values -> 10.49964 = 18.397*(log((100^3)/(2.94*2.93^2),e)/(2*pi*15*(20-2.44))).

FAQ

What is Coefficient of Permeability when Interference among Three Well is Present?

Coefficient of Permeability when Interference among Three Well is Present formula is defined as a measure of the ability of a porous medium to transmit fluids when three wells are interfering with each other, which is essential in understanding the flow behavior in wells and optimizing the production of fluids from these wells and is represented as K = Q_th*(log((R^3)/(r*B^2),e)/(2*pi*b*(H-h_w))) or 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))). Discharge by Each Well at Three 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 Three Well is Present?

Coefficient of Permeability when Interference among Three Well is Present formula is defined as a measure of the ability of a porous medium to transmit fluids when three wells are interfering with each other, which is essential in understanding the flow behavior in wells and optimizing the production of fluids from these wells is calculated using 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))). To calculate Coefficient of Permeability when Interference among Three Well is Present, you need Discharge by Each Well at Three Well Interference (Q_th), Radius of Influence (R), Radius of Well (r), Distance Between Wells (B), Aquifer Thickness (b), Initial Piezometric Surface (H) & Depth of Water (h_w). With our tool, you need to enter the respective value for Discharge by Each Well at Three 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 at Three 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 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))

Home

FREE PDFs

🔍 Search