Discharge due to Spherical Flow in Well Calculator

✖Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces.ⓘ Coefficient of Permeability [K]			+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%

✖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 due to Spherical Flow in Well [Q_s]

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Discharge due to Spherical Flow in Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

Coefficient of Permeability: 0.105 Centimeter per Second --> 0.00105 Meter per Second (Check conversion here)
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

Q_s = 2*pi*K*r*(H-h_w) --> 2*pi*0.00105*2.94*(20-2.44)

Evaluating ... ...

Q_s = 0.340597149839705

STEP 3: Convert Result to Output's Unit

0.340597149839705 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.340597149839705 ≈ 0.340597 Cubic Meter per Second <-- Discharge by Spherical Flow

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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)

Discharge due to Spherical Flow in Well Formula

LaTeX Go

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

What is Initial Piezometric Surface?

The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence. It represents the hydraulic head and pressure distribution across the aquifer. This surface is used as a reference to measure drawdown during pumping. Understanding the initial piezometric surface is essential for aquifer management, determining water availability, and assessing the impact of water extraction on the system. It provides insight into the natural groundwater flow and pressure dynamics before any human or environmental changes occur.

How to Calculate Discharge due to Spherical Flow in Well?

Discharge due to Spherical Flow in Well calculator uses Discharge by Spherical Flow = 2*pi*Coefficient of Permeability*Radius of Well*(Initial Piezometric Surface-Depth of Water) to calculate the Discharge by Spherical Flow, Discharge due to Spherical Flow in Well formula is defined as the rate of fluid flow from a well in a confined or unconfined aquifer, influenced by the hydraulic conductivity, radius of influence, and pressure head difference between the water table and the well water level. Discharge by Spherical Flow is denoted by Q_s symbol.

How to calculate Discharge due to Spherical Flow in Well using this online calculator? To use this online calculator for Discharge due to Spherical Flow in Well, enter Coefficient of Permeability (K), Radius of Well (r), Initial Piezometric Surface (H) & Depth of Water (h_w) and hit the calculate button. Here is how the Discharge due to Spherical Flow in Well calculation can be explained with given input values -> 0.340597 = 2*pi*0.00105*2.94*(20-2.44).

FAQ

What is Discharge due to Spherical Flow in Well?

Discharge due to Spherical Flow in Well formula is defined as the rate of fluid flow from a well in a confined or unconfined aquifer, influenced by the hydraulic conductivity, radius of influence, and pressure head difference between the water table and the well water level and is represented as Q_s = 2*pi*K*r*(H-h_w) or Discharge by Spherical Flow = 2*pi*Coefficient of Permeability*Radius of Well*(Initial Piezometric Surface-Depth of Water). Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces, 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 Discharge due to Spherical Flow in Well?

Discharge due to Spherical Flow in Well formula is defined as the rate of fluid flow from a well in a confined or unconfined aquifer, influenced by the hydraulic conductivity, radius of influence, and pressure head difference between the water table and the well water level is calculated using Discharge by Spherical Flow = 2*pi*Coefficient of Permeability*Radius of Well*(Initial Piezometric Surface-Depth of Water). To calculate Discharge due to Spherical Flow in Well, you need Coefficient of Permeability (K), Radius of Well (r), Initial Piezometric Surface (H) & Depth of Water (h_w). With our tool, you need to enter the respective value for Coefficient of Permeability, 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.

How many ways are there to calculate Discharge by Spherical Flow?

In this formula, Discharge by Spherical Flow uses Coefficient of Permeability, Radius of Well, Initial Piezometric Surface & Depth of Water. We can use 2 other way(s) to calculate the same, which is/are as follows -

Discharge by Spherical Flow = Discharge for Fully Penetrating Gravity Well*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)
Discharge by Spherical Flow = 2.3*Discharge for Fully Penetrating Gravity Well*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),10)

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