Discharge for Partially Penetrating 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%
✖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 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%
✖Correction Factor refers to the reduced efficiency and altered flow patterns due to the well not extending through the entire aquifer thickness.ⓘ Correction Factor [G]			+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%
✖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%

✖Discharge for Partially Penetrating Well refers to the volume of water extracted from an aquifer when the well does not extend through the entire thickness of the aquifer.ⓘ Discharge for Partially Penetrating Well [Q_v]

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Discharge for Partially Penetrating Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge for Partially Penetrating Well = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e))
Q_v = (2*pi*K*b*(H-h_w)*G)/(log((R/r),e))
This formula uses 2 Constants, 1 Functions, 8 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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 Partially Penetrating Well - (Measured in Cubic Meter per Second) - Discharge for Partially Penetrating Well refers to the volume of water extracted from an aquifer when the well does not extend through the entire thickness of the aquifer.
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.
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.
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.
Correction Factor - Correction Factor refers to the reduced efficiency and altered flow patterns due to the well not extending through the entire aquifer thickness.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability: 0.105 Centimeter per Second --> 0.00105 Meter per Second (Check conversion here)
Aquifer Thickness: 15 Meter --> 15 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
Correction Factor: 0.83 --> No Conversion Required
Radius of Influence: 100 Meter --> 100 Meter No Conversion Required
Radius of Well: 2.94 Meter --> 2.94 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_v = (2*pi*K*b*(H-h_w)*G)/(log((R/r),e)) --> (2*pi*0.00105*15*(20-2.44)*0.83)/(log((100/2.94),e))

Evaluating ... ...

Q_v = 5.086733808104

STEP 3: Convert Result to Output's Unit

5.086733808104 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

5.086733808104 ≈ 5.086734 Cubic Meter per Second <-- Discharge for Partially Penetrating Well

(Calculation completed in 00.010 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources Ground Water » Flow in Wells » Partially Penetrating Artesian Well » Discharge for Partially Penetrating Well

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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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< Partially Penetrating Artesian Well Calculators

Coefficient of Permeability given Discharge for Partially Penetrating Well

LaTeX Go Coefficient of Permeability = Discharge for Partially Penetrating Well/((2*pi*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e)))

Aquifer Thickness given Discharge for Partially Penetrating Well

LaTeX Go Aquifer Thickness = Discharge for Partially Penetrating Well/((2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e)))

Thickness of Aquifer given Discharge for Partially Penetrating Well

LaTeX Go Initial Piezometric Surface = Depth of Water+(Discharge for Partially Penetrating Well*(log((Radius of Influence/Radius of Well),e)))/(2*pi*Coefficient of Permeability*Aquifer Thickness*Correction Factor)

Discharge for Partially Penetrating Well

LaTeX Go Discharge for Partially Penetrating Well = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e))

Discharge for Partially Penetrating Well Formula

LaTeX Go

What is Radius of Influence?

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. It represents the area affected by the well's pumping, determined by factors like aquifer properties, pumping rate, and duration. The radius of influence is critical in groundwater management for ensuring proper well spacing and assessing the impact of pumping on nearby wells and the environment. It helps to understand the zone of depletion and the well's efficiency in drawing water from an aquifer.

How to Calculate Discharge for Partially Penetrating Well?

Discharge for Partially Penetrating Well calculator uses Discharge for Partially Penetrating Well = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e)) to calculate the Discharge for Partially Penetrating Well, Discharge for Partially Penetrating Well formula is defined as the rate of flow of water from a well that partially penetrates an aquifer, taking into account the hydraulic conductivity, thickness of the aquifer, and the distance from the well to the boundary of the aquifer. Discharge for Partially Penetrating Well is denoted by Q_v symbol.

How to calculate Discharge for Partially Penetrating Well using this online calculator? To use this online calculator for Discharge for Partially Penetrating Well, enter Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w), Correction Factor (G), Radius of Influence (R) & Radius of Well (r) and hit the calculate button. Here is how the Discharge for Partially Penetrating Well calculation can be explained with given input values -> 34.32013 = (2*pi*0.00105*15*(20-2.44)*0.83)/(log((100/2.94),e)).

FAQ

What is Discharge for Partially Penetrating Well?

Discharge for Partially Penetrating Well formula is defined as the rate of flow of water from a well that partially penetrates an aquifer, taking into account the hydraulic conductivity, thickness of the aquifer, and the distance from the well to the boundary of the aquifer and is represented as Q_v = (2*pi*K*b*(H-h_w)*G)/(log((R/r),e)) or Discharge for Partially Penetrating Well = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e)). Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces, 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 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, Correction Factor refers to the reduced efficiency and altered flow patterns due to the well not extending through the entire aquifer thickness, 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 & The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius.

How to calculate Discharge for Partially Penetrating Well?

Discharge for Partially Penetrating Well formula is defined as the rate of flow of water from a well that partially penetrates an aquifer, taking into account the hydraulic conductivity, thickness of the aquifer, and the distance from the well to the boundary of the aquifer is calculated using Discharge for Partially Penetrating Well = (2*pi*Coefficient of Permeability*Aquifer Thickness*(Initial Piezometric Surface-Depth of Water)*Correction Factor)/(log((Radius of Influence/Radius of Well),e)). To calculate Discharge for Partially Penetrating Well, you need Coefficient of Permeability (K), Aquifer Thickness (b), Initial Piezometric Surface (H), Depth of Water (h_w), Correction Factor (G), Radius of Influence (R) & Radius of Well (r). With our tool, you need to enter the respective value for Coefficient of Permeability, Aquifer Thickness, Initial Piezometric Surface, Depth of Water, Correction Factor, Radius of Influence & Radius of Well 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 Partially Penetrating Well?

In this formula, Discharge for Partially Penetrating Well uses Coefficient of Permeability, Aquifer Thickness, Initial Piezometric Surface, Depth of Water, Correction Factor, Radius of Influence & Radius of Well. We can use 1 other way(s) to calculate the same, which is/are as follows -

Discharge for Partially Penetrating Well = Correction Factor*Discharge for Fully Penetrating Gravity Well

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