Discharge due to Spherical Flow in Well Calculator

✖Coefficient of Permeability in Environ. Engin. of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Environ. Engin. [K]			+10% -10%
✖Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well in Eviron. Engin. [r^']			+10% -10%
✖Thickness of Aquifer measured from permeable layer to the initial level of water table.ⓘ Thickness of Aquifer [H]			+10% -10%
✖Depth of Water in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%

✖Discharge by Spherical Flow is the discharge for spherical flow in well.ⓘ Discharge due to Spherical Flow in Well [Q_s]

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Discharge due to Spherical Flow in Well

Formula

`"Q"_{"s"} = 2*pi*"K"*"r"^{"'"}*("H"-"h"_{"w"})`

Example

`"0.340597m³/s"=2*pi*"0.105cm/s"*"2.94m"*("20m"-"2.44m")`

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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 in Environ. Engin.*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-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 is the discharge for spherical flow in well.
Coefficient of Permeability in Environ. Engin. - (Measured in Meter per Second) - Coefficient of Permeability in Environ. Engin. of soil describes how easily a liquid will move through the soil.
Radius of Well in Eviron. Engin. - (Measured in Meter) - Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.
Thickness of Aquifer - (Measured in Meter) - Thickness of Aquifer measured from permeable layer to the initial level of water table.
Depth of Water - (Measured in Meter) - Depth of Water in the well measured above the impermeable layer.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability in Environ. Engin.: 0.105 Centimeter per Second --> 0.00105 Meter per Second (Check conversion here)
Radius of Well in Eviron. Engin.: 2.94 Meter --> 2.94 Meter No Conversion Required
Thickness of Aquifer: 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 00.004 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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< 19 Spherical Flow in a Well Calculators

Discharge by Radial Flow given Discharge by Spherical Flow

Go Discharge = Discharge by Spherical Flow/((Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e))

Aquifer Thickness given Discharge by Spherical Flow

Go Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./(Discharge by Spherical Flow/Discharge))*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Discharge by Spherical Flow

Go Discharge by Spherical Flow = Discharge*(Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Radius of Influence given Discharge by Spherical Flow

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*exp(((Discharge by Spherical Flow/Discharge at Time t=0)*Aquifer Thickness During Pumping)/Radius of Well in Eviron. Engin.)

Discharge by Spherical Flow with Base 10

Go Discharge by Spherical Flow = 2.3*Discharge*(Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Discharge by Radial Flow given Discharge by Spherical Flow with Base 10

Go Discharge = Discharge by Spherical Flow/(2.3*(Radius of Well in Eviron. Engin./Aquifer Thickness)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10))

Aquifer Thickness given Discharge by Spherical Flow with Base 10

Go Aquifer Thickness = 2.3*(Radius of Well in Eviron. Engin./(Discharge by Spherical Flow/Discharge))*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Radius of Influence given Discharge by Spherical Flow with Base 10

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*10^(((Discharge by Spherical Flow/Discharge at Time t=0) *Aquifer Thickness)/(2.3*Radius of Well in Eviron. Engin.))

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow

Go Ratio of discharge = (Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Aquifer Thickness given Ratio of Discharge

Go Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Radius of Influence given Ratio of Discharge

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*exp((Ratio of discharge*Aquifer Thickness During Pumping)/Radius of Well in Eviron. Engin.)

Depth of Water in Well given Discharge due to Spherical Flow in Well

Go Depth of Water = Thickness of Aquifer-(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.))

Thickness of Aquifer given Discharge due to Spherical Flow in Well

Go Thickness of Aquifer = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.))

Radius of Well given Discharge due to Spherical Flow in Well

Go Radius of Well in Eviron. Engin. = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*(Thickness of Aquifer-Depth of Water))

Discharge due to Spherical Flow in Well

Go Discharge by Spherical Flow = 2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water)

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10

Go Ratio of discharge = 2.3*(Radius of Well in Eviron. Engin./Aquifer Thickness)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Radius of Influence given Ratio of Discharge with Base 10

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*10^((Ratio of discharge*Aquifer Thickness During Pumping)/(2.3*Radius of Well in Eviron. Engin.))

Aquifer Thickness given Ratio of Discharge with Base 10

Go Aquifer Thickness = 2.3*(Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Coefficient of Permeability given Discharge due to Spherical Flow in Well

Go Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water))

Discharge due to Spherical Flow in Well Formula

Discharge by Spherical Flow = 2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water)
Q_s = 2*pi*K*r^'*(H-h_w)

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

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 in Environ. Engin.*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water) to calculate the Discharge by Spherical Flow, The Discharge due to Spherical Flow in Well is defined as the value of discharge the to spherical flow when we have prior information of other parameters used. 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 in Environ. Engin. (K), Radius of Well in Eviron. Engin. (r^'), Thickness of Aquifer (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 -> 0.329735 = 2*pi*0.00105*2.94*(20-2.44).

FAQ

What is Discharge due to Spherical Flow in Well?

The Discharge due to Spherical Flow in Well is defined as the value of discharge the to spherical flow when we have prior information of other parameters used and is represented as Q_s = 2*pi*K*r^'*(H-h_w) or Discharge by Spherical Flow = 2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water). Coefficient of Permeability in Environ. Engin. of soil describes how easily a liquid will move through the soil, Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary, Thickness of Aquifer measured from permeable layer to the initial level of water table & Depth of Water in the well measured above the impermeable layer.

How to calculate Discharge due to Spherical Flow in Well?

The Discharge due to Spherical Flow in Well is defined as the value of discharge the to spherical flow when we have prior information of other parameters used is calculated using Discharge by Spherical Flow = 2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water). To calculate Discharge due to Spherical Flow in Well, you need Coefficient of Permeability in Environ. Engin. (K), Radius of Well in Eviron. Engin. (r^'), Thickness of Aquifer (H) & Depth of Water (h_w). With our tool, you need to enter the respective value for Coefficient of Permeability in Environ. Engin, Radius of Well in Eviron. Engin, Thickness of Aquifer & 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 in Environ. Engin, Radius of Well in Eviron. Engin, Thickness of Aquifer & Depth of Water. We can use 2 other way(s) to calculate the same, which is/are as follows -

Discharge by Spherical Flow = Discharge*(Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)
Discharge by Spherical Flow = 2.3*Discharge*(Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

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