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

✖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%
✖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 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%

✖Ratio of discharge refers to the ratio of discharge due to spherical flow to discharge due to radial flow.ⓘ Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow [QsQ_ratio]

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

STEP 0: Pre-Calculation Summary

Formula Used

Ratio of Discharge = (Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)
QsQ_ratio = (r/b)*log((R/r),e)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

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

Ratio of Discharge - Ratio of discharge refers to the ratio of discharge due to spherical flow to discharge due to radial flow.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Well: 2.94 Meter --> 2.94 Meter No Conversion Required
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required
Radius of Influence: 100 Meter --> 100 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

QsQ_ratio = (r/b)*log((R/r),e) --> (2.94/15)*log((100/2.94),e)

Evaluating ... ...

QsQ_ratio = 0.0555750792220687

STEP 3: Convert Result to Output's Unit

0.0555750792220687 --> No Conversion Required

FINAL ANSWER

0.0555750792220687 ≈ 0.055575 <-- Ratio of Discharge

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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)

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

LaTeX Go

Ratio of Discharge = (Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)
QsQ_ratio = (r/b)*log((R/r),e)

What is Discharge?

A discharge is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.

How to Calculate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow?

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow calculator uses Ratio of Discharge = (Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e) to calculate the Ratio of Discharge, Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow formula is a dimensionless quantity that compares the discharge rates of spherical and radial flows in a well, providing insights into the flow behavior and hydraulic properties of the aquifer. Ratio of Discharge is denoted by QsQ_ratio symbol.

How to calculate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow using this online calculator? To use this online calculator for Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow, enter Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R) and hit the calculate button. Here is how the Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow calculation can be explained with given input values -> 0.055575 = (2.94/15)*log((100/2.94),e).

FAQ

What is Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow?

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow formula is a dimensionless quantity that compares the discharge rates of spherical and radial flows in a well, providing insights into the flow behavior and hydraulic properties of the aquifer and is represented as QsQ_ratio = (r/b)*log((R/r),e) or Ratio of Discharge = (Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e). The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius, 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 radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible.

How to calculate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow?

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow formula is a dimensionless quantity that compares the discharge rates of spherical and radial flows in a well, providing insights into the flow behavior and hydraulic properties of the aquifer is calculated using Ratio of Discharge = (Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e). To calculate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow, you need Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R). With our tool, you need to enter the respective value for Radius of Well, Aquifer Thickness & Radius of Influence 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 Ratio of Discharge?

In this formula, Ratio of Discharge uses Radius of Well, Aquifer Thickness & Radius of Influence. We can use 1 other way(s) to calculate the same, which is/are as follows -

Ratio of Discharge = 2.3*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),10)

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