Discharge by Radial Flow given Discharge by Spherical Flow 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%
✖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%

✖Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer.ⓘ Discharge by Radial Flow given Discharge by Spherical Flow [Q_fe]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF PDF Image

Discharge by Radial Flow given Discharge by Spherical Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge for Fully Penetrating Gravity Well = Discharge by Spherical Flow/((Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e))
Q_fe = Q_s/((r/b)*log((R/r),e))
This formula uses 1 Constants, 1 Functions, 5 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

Discharge for Fully Penetrating Gravity Well - (Measured in Cubic Meter per Second) - Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer.
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.
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

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
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

Q_fe = Q_s/((r/b)*log((R/r),e)) --> 0.34/((2.94/15)*log((100/2.94),e))

Evaluating ... ...

Q_fe = 6.11785002845281

STEP 3: Convert Result to Output's Unit

6.11785002845281 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

6.11785002845281 ≈ 6.11785 Cubic Meter per Second <-- Discharge for Fully Penetrating Gravity Well

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Water Resources Ground Water » Flow in Wells » Spherical Flow in a Well » Discharge by Radial Flow given Discharge by Spherical Flow

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!

< 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 by Radial Flow given Discharge by Spherical Flow Formula

LaTeX Go

Discharge for Fully Penetrating Gravity Well = Discharge by Spherical Flow/((Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e))
Q_fe = Q_s/((r/b)*log((R/r),e))

What is Radius of Well?

The radius of a well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius. This dimension is crucial in groundwater studies for calculating various hydraulic properties such as the well's capacity, discharge rate, and drawdown. It also plays a role in determining the well's design and construction parameters, ensuring proper water flow and minimizing the effects of clogging. The radius of the well impacts the efficiency of water extraction and the overall performance of the well in an aquifer.

How to Calculate Discharge by Radial Flow given Discharge by Spherical Flow?

Discharge by Radial Flow given Discharge by Spherical Flow calculator uses Discharge for Fully Penetrating Gravity Well = Discharge by Spherical Flow/((Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)) to calculate the Discharge for Fully Penetrating Gravity Well, Discharge by Radial Flow given Discharge by Spherical Flow formula is defined as a method to determine the rate of fluid flow in a radial direction, typically in wells, by relating it to the discharge rate in a spherical flow pattern, considering the radius and other parameters of the well. Discharge for Fully Penetrating Gravity Well is denoted by Q_fe symbol.

How to calculate Discharge by Radial Flow given Discharge by Spherical Flow using this online calculator? To use this online calculator for Discharge by Radial Flow given Discharge by Spherical Flow, enter Discharge by Spherical Flow (Q_s), Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R) and hit the calculate button. Here is how the Discharge by Radial Flow given Discharge by Spherical Flow calculation can be explained with given input values -> 6.11785 = 0.34/((2.94/15)*log((100/2.94),e)).

FAQ

What is Discharge by Radial Flow given Discharge by Spherical Flow?

Discharge by Radial Flow given Discharge by Spherical Flow formula is defined as a method to determine the rate of fluid flow in a radial direction, typically in wells, by relating it to the discharge rate in a spherical flow pattern, considering the radius and other parameters of the well and is represented as Q_fe = Q_s/((r/b)*log((R/r),e)) or Discharge for Fully Penetrating Gravity Well = Discharge by Spherical Flow/((Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)). 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, 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 Discharge by Radial Flow given Discharge by Spherical Flow?

Discharge by Radial Flow given Discharge by Spherical Flow formula is defined as a method to determine the rate of fluid flow in a radial direction, typically in wells, by relating it to the discharge rate in a spherical flow pattern, considering the radius and other parameters of the well is calculated using Discharge for Fully Penetrating Gravity Well = Discharge by Spherical Flow/((Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)). To calculate Discharge by Radial Flow given Discharge by Spherical Flow, you need Discharge by Spherical Flow (Q_s), Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R). With our tool, you need to enter the respective value for Discharge by Spherical Flow, 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 Discharge for Fully Penetrating Gravity Well?

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

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

Home

FREE PDFs

🔍 Search