Depth of Water in Well given Discharge for Partially Penetrating Well Calculator

✖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%
✖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%
✖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 [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%
✖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%

✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water in Well given Discharge for Partially Penetrating Well [h_w]

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Depth of Water in Well given Discharge for Partially Penetrating Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Depth of Water - (Measured in Meter) - Depth of Water is the depth in the well measured above the impermeable layer.
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.
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.
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.
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.
Correction Factor - Correction Factor refers to the reduced efficiency and altered flow patterns due to the well not extending through the entire aquifer thickness.

STEP 1: Convert Input(s) to Base Unit

Initial Piezometric Surface: 20 Meter --> 20 Meter No Conversion Required
Discharge for Partially Penetrating Well: 5.08 Cubic Meter per Second --> 5.08 Cubic Meter per Second 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
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
Correction Factor: 0.83 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_w = H-((Q_v*(log((R/r),e)))/(2*pi*K*b*G)) --> 20-((5.08*(log((100/2.94),e)))/(2*pi*0.00105*15*0.83))

Evaluating ... ...

h_w = 2.46324589309508

STEP 3: Convert Result to Output's Unit

2.46324589309508 Meter --> No Conversion Required

FINAL ANSWER

2.46324589309508 ≈ 2.463246 Meter <-- Depth of Water

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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))

Depth of Water in Well given Discharge for Partially Penetrating Well Formula

LaTeX Go

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Depth of Water in Well given Discharge for Partially Penetrating Well?

Depth of Water in Well given Discharge for Partially Penetrating Well calculator uses Depth of Water = Initial Piezometric Surface-((Discharge for Partially Penetrating Well*(log((Radius of Influence/Radius of Well),e)))/(2*pi*Coefficient of Permeability*Aquifer Thickness*Correction Factor)) to calculate the Depth of Water, Depth of Water in Well given Discharge for Partially Penetrating Well formula is defined as a measure of the water level in a well that is partially penetrating an aquifer, taking into account the discharge rate, radius of the well, and other factors that affect the flow of water into the well. Depth of Water is denoted by h_w symbol.

How to calculate Depth of Water in Well given Discharge for Partially Penetrating Well using this online calculator? To use this online calculator for Depth of Water in Well given Discharge for Partially Penetrating Well, enter Initial Piezometric Surface (H), Discharge for Partially Penetrating Well (Q_v), Radius of Influence (R), Radius of Well (r), Coefficient of Permeability (K), Aquifer Thickness (b) & Correction Factor (G) and hit the calculate button. Here is how the Depth of Water in Well given Discharge for Partially Penetrating Well calculation can be explained with given input values -> 2.463246 = 20-((5.08*(log((100/2.94),e)))/(2*pi*0.00105*15*0.83)).

FAQ

What is Depth of Water in Well given Discharge for Partially Penetrating Well?

Depth of Water in Well given Discharge for Partially Penetrating Well formula is defined as a measure of the water level in a well that is partially penetrating an aquifer, taking into account the discharge rate, radius of the well, and other factors that affect the flow of water into the well and is represented as h_w = H-((Q_v*(log((R/r),e)))/(2*pi*K*b*G)) or Depth of Water = Initial Piezometric Surface-((Discharge for Partially Penetrating Well*(log((Radius of Influence/Radius of Well),e)))/(2*pi*Coefficient of Permeability*Aquifer Thickness*Correction Factor)). The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence, 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, 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, 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 & Correction Factor refers to the reduced efficiency and altered flow patterns due to the well not extending through the entire aquifer thickness.

How to calculate Depth of Water in Well given Discharge for Partially Penetrating Well?

Depth of Water in Well given Discharge for Partially Penetrating Well formula is defined as a measure of the water level in a well that is partially penetrating an aquifer, taking into account the discharge rate, radius of the well, and other factors that affect the flow of water into the well is calculated using Depth of Water = Initial Piezometric Surface-((Discharge for Partially Penetrating Well*(log((Radius of Influence/Radius of Well),e)))/(2*pi*Coefficient of Permeability*Aquifer Thickness*Correction Factor)). To calculate Depth of Water in Well given Discharge for Partially Penetrating Well, you need Initial Piezometric Surface (H), Discharge for Partially Penetrating Well (Q_v), Radius of Influence (R), Radius of Well (r), Coefficient of Permeability (K), Aquifer Thickness (b) & Correction Factor (G). With our tool, you need to enter the respective value for Initial Piezometric Surface, Discharge for Partially Penetrating Well, Radius of Influence, Radius of Well, Coefficient of Permeability, Aquifer Thickness & Correction Factor 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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