Depth of Water in Well given Discharge due to Spherical Flow in 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 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%

✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water in Well given Discharge due to Spherical Flow in Well [h_w]

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Depth of Water in Well given Discharge due to Spherical Flow in Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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 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

Initial Piezometric Surface: 20 Meter --> 20 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_w = H-(Q_s/(2*pi*K*r)) --> 20-(0.34/(2*pi*0.00105*2.94))

Evaluating ... ...

h_w = 2.47078696104813

STEP 3: Convert Result to Output's Unit

2.47078696104813 Meter --> No Conversion Required

FINAL ANSWER

2.47078696104813 ≈ 2.470787 Meter <-- Depth of Water

(Calculation completed in 00.004 seconds)

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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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< 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)

Depth of Water in Well given Discharge due to Spherical Flow in Well Formula

LaTeX Go

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

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 due to Spherical Flow in Well?

Depth of Water in Well given Discharge due to Spherical Flow in Well calculator uses Depth of Water = Initial Piezometric Surface-(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well)) to calculate the Depth of Water, Depth of Water in Well given Discharge due to Spherical Flow in Well formula is defined as the measure of water level in a well considering the discharge rate and spherical flow pattern, which is essential in understanding the groundwater flow and well hydraulics, particularly in aquifer systems and water resource management. Depth of Water is denoted by h_w symbol.

How to calculate Depth of Water in Well given Discharge due to Spherical Flow in Well using this online calculator? To use this online calculator for Depth of Water in Well given Discharge due to Spherical Flow in Well, enter Initial Piezometric Surface (H), Discharge by Spherical Flow (Q_s), Coefficient of Permeability (K) & Radius of Well (r) and hit the calculate button. Here is how the Depth of Water in Well given Discharge due to Spherical Flow in Well calculation can be explained with given input values -> 2.470787 = 20-(0.34/(2*pi*0.00105*2.94)).

FAQ

What is Depth of Water in Well given Discharge due to Spherical Flow in Well?

Depth of Water in Well given Discharge due to Spherical Flow in Well formula is defined as the measure of water level in a well considering the discharge rate and spherical flow pattern, which is essential in understanding the groundwater flow and well hydraulics, particularly in aquifer systems and water resource management and is represented as h_w = H-(Q_s/(2*pi*K*r)) or Depth of Water = Initial Piezometric Surface-(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well)). The initial piezometric surface refers to the level at which groundwater naturally stands in a confined aquifer before any pumping or external influence, 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 Depth of Water in Well given Discharge due to Spherical Flow in Well?

Depth of Water in Well given Discharge due to Spherical Flow in Well formula is defined as the measure of water level in a well considering the discharge rate and spherical flow pattern, which is essential in understanding the groundwater flow and well hydraulics, particularly in aquifer systems and water resource management is calculated using Depth of Water = Initial Piezometric Surface-(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well)). To calculate Depth of Water in Well given Discharge due to Spherical Flow in Well, you need Initial Piezometric Surface (H), 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 Initial Piezometric Surface, 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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