Thickness of Aquifer given Discharge due to Spherical Flow in Well Calculator

✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -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.ⓘ Discharge by Spherical Flow [Q_s]			+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%
✖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%

✖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 due to Spherical Flow in Well [H]

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Thickness of Aquifer given Discharge due to Spherical Flow in Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Piezometric Surface = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well))
H = h_w+(Q_s/(2*pi*K*r))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 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.
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.
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

Depth of Water: 2.44 Meter --> 2.44 Meter No Conversion Required
Discharge by Spherical Flow: 0.34 Cubic Meter per Second --> 0.34 Cubic Meter per Second No Conversion Required
Coefficient of Permeability: 0.105 Centimeter per Second --> 0.00105 Meter per Second (Check conversion here)
Radius of Well: 2.94 Meter --> 2.94 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = h_w+(Q_s/(2*pi*K*r)) --> 2.44+(0.34/(2*pi*0.00105*2.94))

Evaluating ... ...

H = 19.9692130389519

STEP 3: Convert Result to Output's Unit

19.9692130389519 Meter --> No Conversion Required

FINAL ANSWER

19.9692130389519 ≈ 19.96921 Meter <-- Initial Piezometric Surface

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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)

Thickness of Aquifer given Discharge due to Spherical Flow in Well Formula

LaTeX Go

Initial Piezometric Surface = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well))
H = h_w+(Q_s/(2*pi*K*r))

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 due to Spherical Flow in Well?

Thickness of Aquifer given Discharge due to Spherical Flow in Well calculator uses Initial Piezometric Surface = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well)) to calculate the Initial Piezometric Surface, Thickness of Aquifer given Discharge due to Spherical Flow in Well formula is defined as the distance from the bottom of the well to the top of the aquifer, which is affected by the discharge rate and the properties of the aquifer and well. It is an important parameter in understanding groundwater flow and well hydraulics. Initial Piezometric Surface is denoted by H symbol.

How to calculate Thickness of Aquifer given Discharge due to Spherical Flow in Well using this online calculator? To use this online calculator for Thickness of Aquifer given Discharge due to Spherical Flow in Well, enter Depth of Water (h_w), Discharge by Spherical Flow (Q_s), Coefficient of Permeability (K) & Radius of Well (r) and hit the calculate button. Here is how the Thickness of Aquifer given Discharge due to Spherical Flow in Well calculation can be explained with given input values -> 19.96921 = 2.44+(0.34/(2*pi*0.00105*2.94)).

FAQ

What is Thickness of Aquifer given Discharge due to Spherical Flow in Well?

Thickness of Aquifer given Discharge due to Spherical Flow in Well formula is defined as the distance from the bottom of the well to the top of the aquifer, which is affected by the discharge rate and the properties of the aquifer and well. It is an important parameter in understanding groundwater flow and well hydraulics and is represented as H = h_w+(Q_s/(2*pi*K*r)) or Initial Piezometric Surface = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well)). Depth of Water is the depth in the well measured above the impermeable layer, 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, Coefficient of Permeability refers to the ease with which water can flow through the aquifer's pore spaces & 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 Thickness of Aquifer given Discharge due to Spherical Flow in Well?

Thickness of Aquifer given Discharge due to Spherical Flow in Well formula is defined as the distance from the bottom of the well to the top of the aquifer, which is affected by the discharge rate and the properties of the aquifer and well. It is an important parameter in understanding groundwater flow and well hydraulics is calculated using Initial Piezometric Surface = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well)). To calculate Thickness of Aquifer given Discharge due to Spherical Flow in Well, you need Depth of Water (h_w), Discharge by Spherical Flow (Q_s), Coefficient of Permeability (K) & Radius of Well (r). With our tool, you need to enter the respective value for Depth of Water, Discharge by Spherical Flow, Coefficient of Permeability & 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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