Thickness of Aquifer given Discharge for Partially Penetrating Well Calculator

✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+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%

✖The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence.ⓘ Thickness of Aquifer given Discharge for Partially Penetrating Well [H]

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Thickness of Aquifer given Discharge for Partially Penetrating Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
H = h_w+(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

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.
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

Depth of Water: 2.44 Meter --> 2.44 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 = h_w+(Q_v*(log((R/r),e)))/(2*pi*K*b*G) --> 2.44+(5.08*(log((100/2.94),e)))/(2*pi*0.00105*15*0.83)

Evaluating ... ...

H = 19.9767541069049

STEP 3: Convert Result to Output's Unit

19.9767541069049 Meter --> No Conversion Required

FINAL ANSWER

19.9767541069049 ≈ 19.97675 Meter <-- Initial Piezometric Surface

(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))

Thickness of Aquifer given Discharge for Partially Penetrating Well Formula

LaTeX Go

What is Aquifer?

An aquifer is a body of rock and/or sediment that holds groundwater. Groundwater is the word used to describe precipitation that has infiltrated the soil beyond the surface and collected in empty spaces underground.

How to Calculate Thickness of Aquifer given Discharge for Partially Penetrating Well?

Thickness of Aquifer given Discharge for Partially Penetrating Well calculator uses 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) to calculate the Initial Piezometric Surface, Thickness of Aquifer given Discharge for Partially Penetrating Well formula is defined as the height of the aquifer above the bottom of the well, which is influenced by the discharge rate, radius of influence, and other hydraulic properties of the well and aquifer. Initial Piezometric Surface is denoted by H symbol.

How to calculate Thickness of Aquifer given Discharge for Partially Penetrating Well using this online calculator? To use this online calculator for Thickness of Aquifer given Discharge for Partially Penetrating Well, enter Depth of Water (h_w), 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 Thickness of Aquifer given Discharge for Partially Penetrating Well calculation can be explained with given input values -> 19.97675 = 2.44+(5.08*(log((100/2.94),e)))/(2*pi*0.00105*15*0.83).

FAQ

What is Thickness of Aquifer given Discharge for Partially Penetrating Well?

Thickness of Aquifer given Discharge for Partially Penetrating Well formula is defined as the height of the aquifer above the bottom of the well, which is influenced by the discharge rate, radius of influence, and other hydraulic properties of the well and aquifer and is represented as H = h_w+(Q_v*(log((R/r),e)))/(2*pi*K*b*G) or 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). Depth of Water is the depth in the well measured above the impermeable layer, 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 Thickness of Aquifer given Discharge for Partially Penetrating Well?

Thickness of Aquifer given Discharge for Partially Penetrating Well formula is defined as the height of the aquifer above the bottom of the well, which is influenced by the discharge rate, radius of influence, and other hydraulic properties of the well and aquifer is calculated using 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). To calculate Thickness of Aquifer given Discharge for Partially Penetrating Well, you need Depth of Water (h_w), 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 Depth of Water, 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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