Coefficient of Permeability given Discharge due to Spherical Flow in Well Calculator

✖Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells.ⓘ Discharge by Spherical Flow [Q_s]			+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%
✖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 given Discharge due to Spherical Flow in Well [K]

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Coefficient of Permeability given Discharge due to Spherical Flow in Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well*(Initial Piezometric Surface-Depth of Water))
K = Q_s/(2*pi*r*(H-h_w))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 Spherical Flow - (Measured in Cubic Meter per Second) - Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells.
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.
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 Spherical Flow: 0.34 Cubic Meter per Second --> 0.34 Cubic Meter per Second No Conversion Required
Radius of Well: 2.94 Meter --> 2.94 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_s/(2*pi*r*(H-h_w)) --> 0.34/(2*pi*2.94*(20-2.44))

Evaluating ... ...

K = 0.00104815909401478

STEP 3: Convert Result to Output's Unit

0.00104815909401478 Meter per Second -->0.104815909401478 Centimeter per Second (Check conversion here)

FINAL ANSWER

0.104815909401478 ≈ 0.104816 Centimeter per Second <-- Coefficient of Permeability

(Calculation completed in 00.004 seconds)

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< Spherical Flow in a Well Calculators

Coefficient of Permeability given Discharge due to Spherical Flow in Well

LaTeX Go Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well*(Initial Piezometric Surface-Depth of Water))

Thickness of Aquifer given Discharge due to Spherical Flow in Well

LaTeX Go Initial Piezometric Surface = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well))

Radius of Well given Discharge due to Spherical Flow in Well

LaTeX Go Radius of Well = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water))

Discharge due to Spherical Flow in Well

LaTeX Go Discharge by Spherical Flow = 2*pi*Coefficient of Permeability*Radius of Well*(Initial Piezometric Surface-Depth of Water)

Coefficient of Permeability given Discharge due to Spherical Flow in Well Formula

LaTeX Go

Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well*(Initial Piezometric Surface-Depth of Water))
K = Q_s/(2*pi*r*(H-h_w))

What is Discharge due to Spherical Flow in Well?

Discharge due to spherical flow in a well occurs when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells. It is influenced by factors like aquifer properties, well radius, drawdown, and the radius of influence. The discharge rate is determined using equations that account for the changing cross-sectional area of flow and the variation in hydraulic gradient with distance from the well. This flow pattern results in a more complex relationship between discharge and drawdown compared to linear or radial flow.

How to Calculate Coefficient of Permeability given Discharge due to Spherical Flow in Well?

Coefficient of Permeability given Discharge due to Spherical Flow in Well calculator uses Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well*(Initial Piezometric Surface-Depth of Water)) to calculate the Coefficient of Permeability, Coefficient of Permeability given Discharge due to Spherical Flow in Well formula is defined as a measure of the ability of a porous medium to transmit fluids, describing the rate at which water can flow through the soil or rock surrounding a well. Coefficient of Permeability is denoted by K symbol.

How to calculate Coefficient of Permeability given Discharge due to Spherical Flow in Well using this online calculator? To use this online calculator for Coefficient of Permeability given Discharge due to Spherical Flow in Well, enter Discharge by Spherical Flow (Q_s), Radius of Well (r), Initial Piezometric Surface (H) & Depth of Water (h_w) and hit the calculate button. Here is how the Coefficient of Permeability given Discharge due to Spherical Flow in Well calculation can be explained with given input values -> 10.48159 = 0.34/(2*pi*2.94*(20-2.44)).

FAQ

What is Coefficient of Permeability given Discharge due to Spherical Flow in Well?

Coefficient of Permeability given Discharge due to Spherical Flow in Well formula is defined as a measure of the ability of a porous medium to transmit fluids, describing the rate at which water can flow through the soil or rock surrounding a well and is represented as K = Q_s/(2*pi*r*(H-h_w)) or Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well*(Initial Piezometric Surface-Depth of Water)). Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells, The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius, 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 given Discharge due to Spherical Flow in Well?

Coefficient of Permeability given Discharge due to Spherical Flow in Well formula is defined as a measure of the ability of a porous medium to transmit fluids, describing the rate at which water can flow through the soil or rock surrounding a well is calculated using Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well*(Initial Piezometric Surface-Depth of Water)). To calculate Coefficient of Permeability given Discharge due to Spherical Flow in Well, you need Discharge by Spherical Flow (Q_s), Radius of Well (r), Initial Piezometric Surface (H) & Depth of Water (h_w). With our tool, you need to enter the respective value for Discharge by Spherical Flow, Radius of Well, 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.

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