Coefficient of Permeability given Discharge for Partially Penetrating Well Calculator

✖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]			+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%

✖Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces.ⓘ Coefficient of Permeability given Discharge for Partially Penetrating Well [K]

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Coefficient of Permeability given Discharge for Partially Penetrating Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
K = Q_v/((2*pi*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

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.
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.
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

Discharge for Partially Penetrating Well: 5.08 Cubic Meter per Second --> 5.08 Cubic Meter per Second No Conversion Required
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

K = Q_v/((2*pi*b*(H-h_w)*G)/(log((R/r),e))) --> 5.08/((2*pi*15*(20-2.44)*0.83)/(log((100/2.94),e)))

Evaluating ... ...

K = 0.00104861001208714

STEP 3: Convert Result to Output's Unit

0.00104861001208714 Meter per Second -->0.104861001208714 Centimeter per Second (Check conversion here)

FINAL ANSWER

0.104861001208714 ≈ 0.104861 Centimeter per Second <-- Coefficient of Permeability

(Calculation completed in 00.004 seconds)

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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))

Coefficient of Permeability given Discharge for Partially Penetrating Well Formula

LaTeX Go

What is Discharge for Partially Penetrating Well?

The discharge for a 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. This discharge is affected by factors like the hydraulic conductivity of the aquifer, the length of the well screen, the drawdown, and the well's radius. In partially penetrating wells, flow towards the well is more complex due to the incomplete interaction with the entire aquifer thickness, leading to potential reductions in efficiency and increased head losses compared to fully penetrating wells.

How to Calculate Coefficient of Permeability given Discharge for Partially Penetrating Well?

Coefficient of Permeability given Discharge for Partially Penetrating Well calculator uses 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))) to calculate the Coefficient of Permeability, Coefficient of Permeability given Discharge for Partially Penetrating Well formula is defined as a measure of the ability of an aquifer to transmit water, which is essential in determining the flow rate of a well, and is used to analyze the performance of partially penetrating wells in various hydrogeological settings. Coefficient of Permeability is denoted by K symbol.

How to calculate Coefficient of Permeability given Discharge for Partially Penetrating Well using this online calculator? To use this online calculator for Coefficient of Permeability given Discharge for Partially Penetrating Well, enter Discharge for Partially Penetrating Well (Q_v), 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 Coefficient of Permeability given Discharge for Partially Penetrating Well calculation can be explained with given input values -> 10.4861 = 5.08/((2*pi*15*(20-2.44)*0.83)/(log((100/2.94),e))).

FAQ

What is Coefficient of Permeability given Discharge for Partially Penetrating Well?

Coefficient of Permeability given Discharge for Partially Penetrating Well formula is defined as a measure of the ability of an aquifer to transmit water, which is essential in determining the flow rate of a well, and is used to analyze the performance of partially penetrating wells in various hydrogeological settings and is represented as K = Q_v/((2*pi*b*(H-h_w)*G)/(log((R/r),e))) or 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))). 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, 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 Coefficient of Permeability given Discharge for Partially Penetrating Well?

Coefficient of Permeability given Discharge for Partially Penetrating Well formula is defined as a measure of the ability of an aquifer to transmit water, which is essential in determining the flow rate of a well, and is used to analyze the performance of partially penetrating wells in various hydrogeological settings is calculated using 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))). To calculate Coefficient of Permeability given Discharge for Partially Penetrating Well, you need Discharge for Partially Penetrating Well (Q_v), 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 Discharge for Partially Penetrating Well, 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.

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