Discharge by Radial Flow given Discharge by Spherical Flow with Base 10 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 with Base 10 [Q_fe]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q_fe = Q_s/(2.3*(r/b)*log((R/r),10))
This formula uses 1 Functions, 5 Variables

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/(2.3*(r/b)*log((R/r),10)) --> 0.34/(2.3*(2.94/15)*log((100/2.94),10))

Evaluating ... ...

Q_fe = 1.15519500368205

STEP 3: Convert Result to Output's Unit

1.15519500368205 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.15519500368205 ≈ 1.155195 Cubic Meter per Second <-- Discharge for Fully Penetrating Gravity Well

(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)

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

LaTeX Go

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))
Q_fe = Q_s/(2.3*(r/b)*log((R/r),10))

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

Discharge by Radial Flow given Discharge by Spherical Flow with Base 10 calculator uses 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)) to calculate the Discharge for Fully Penetrating Gravity Well, Discharge by Radial Flow given Discharge by Spherical Flow with Base 10 formula is defined as a method to estimate the discharge rate of a well under radial flow conditions, considering the spherical flow rate and well geometry, providing a crucial parameter for groundwater flow modeling and well performance evaluation. Discharge for Fully Penetrating Gravity Well is denoted by Q_fe symbol.

How to calculate Discharge by Radial Flow given Discharge by Spherical Flow with Base 10 using this online calculator? To use this online calculator for Discharge by Radial Flow given Discharge by Spherical Flow with Base 10, 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 with Base 10 calculation can be explained with given input values -> 1.155195 = 0.34/(2.3*(2.94/15)*log((100/2.94),10)).

FAQ

What is Discharge by Radial Flow given Discharge by Spherical Flow with Base 10?

Discharge by Radial Flow given Discharge by Spherical Flow with Base 10 formula is defined as a method to estimate the discharge rate of a well under radial flow conditions, considering the spherical flow rate and well geometry, providing a crucial parameter for groundwater flow modeling and well performance evaluation and is represented as Q_fe = Q_s/(2.3*(r/b)*log((R/r),10)) or 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)). 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 with Base 10?

Discharge by Radial Flow given Discharge by Spherical Flow with Base 10 formula is defined as a method to estimate the discharge rate of a well under radial flow conditions, considering the spherical flow rate and well geometry, providing a crucial parameter for groundwater flow modeling and well performance evaluation is calculated using 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)). To calculate Discharge by Radial Flow given Discharge by Spherical Flow with Base 10, 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/((Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e))

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