Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered Calculator

✖The Saturated Thickness of the Aquifer refers to the vertical height of the aquifer in which the pore spaces are completely filled with water.ⓘ Saturated Thickness of the Aquifer [H]			+10% -10%
✖The Steady Flow of an Unconfined Aquifer refers to a condition where the groundwater flow rate and the water table level remain constant over time.ⓘ Steady Flow of an Unconfined Aquifer [Q_u]			+10% -10%
✖The Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected.ⓘ Radius at the Edge of Zone of Influence [r]			+10% -10%
✖The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge.ⓘ Radius of the Pumping Well [R_w]			+10% -10%
✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability [K]			+10% -10%

✖The Depth of Water in the Pumping Well refers to the well in which pumping is required to increase the formation pressure to allow the free production flow.ⓘ Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered [h_w]

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Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Water in the Pumping Well = sqrt((Saturated Thickness of the Aquifer)^2-((Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(pi*Coefficient of Permeability)))
h_w = sqrt((H)^2-((Q_u*ln(r/R_w))/(pi*K)))
This formula uses 1 Constants, 2 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Depth of Water in the Pumping Well - (Measured in Meter) - The Depth of Water in the Pumping Well refers to the well in which pumping is required to increase the formation pressure to allow the free production flow.
Saturated Thickness of the Aquifer - (Measured in Meter) - The Saturated Thickness of the Aquifer refers to the vertical height of the aquifer in which the pore spaces are completely filled with water.
Steady Flow of an Unconfined Aquifer - (Measured in Cubic Meter per Second) - The Steady Flow of an Unconfined Aquifer refers to a condition where the groundwater flow rate and the water table level remain constant over time.
Radius at the Edge of Zone of Influence - (Measured in Meter) - The Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected.
Radius of the Pumping Well - (Measured in Meter) - The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.

STEP 1: Convert Input(s) to Base Unit

Saturated Thickness of the Aquifer: 35 Meter --> 35 Meter No Conversion Required
Steady Flow of an Unconfined Aquifer: 65 Cubic Meter per Second --> 65 Cubic Meter per Second No Conversion Required
Radius at the Edge of Zone of Influence: 25 Meter --> 25 Meter No Conversion Required
Radius of the Pumping Well: 6 Meter --> 6 Meter No Conversion Required
Coefficient of Permeability: 9 Centimeter per Second --> 0.09 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_w = sqrt((H)^2-((Q_u*ln(r/R_w))/(pi*K))) --> sqrt((35)^2-((65*ln(25/6))/(pi*0.09)))

Evaluating ... ...

h_w = 29.9486150843287

STEP 3: Convert Result to Output's Unit

29.9486150843287 Meter --> No Conversion Required

FINAL ANSWER

29.9486150843287 ≈ 29.94862 Meter <-- Depth of Water in the Pumping Well

(Calculation completed in 00.016 seconds)

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< Unconfined Flow Calculators

Saturated Thickness of Aquifer when Steady Flow of Unconfined Aquifer is Considered

LaTeX Go Saturated Thickness of the Aquifer = sqrt((Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(pi*Coefficient of Permeability)+Depth of Water in the Pumping Well^2)

Discharge at Edge of Zone of Influence

LaTeX Go Steady Flow of an Unconfined Aquifer = pi*Coefficient of Permeability*(Saturated Thickness of the Aquifer^2-Depth of Water in the Pumping Well^2)/ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well)

Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer

LaTeX Go Coefficient of Permeability = Steady Flow of an Unconfined Aquifer/(pi*(Water Table Depth 2^2-Water Table Depth^2)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1))

Equilibrium Equation for Well in Unconfined Aquifer

LaTeX Go Steady Flow of an Unconfined Aquifer = pi*Coefficient of Permeability*(Water Table Depth 2^2-Water Table Depth^2)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered Formula

LaTeX Go

What is Groundwater Recharge?

Groundwater Recharge or deep drainage or deep percolation is a hydrologic process, where water moves downward from surface water to groundwater. Recharge is the primary method through which water enters an aquifer. This process usually occurs in the vadose zone below plant roots and, is often expressed as a flux to the water table surface.

What does a pumping well do?

The well pump, or water pump, is the heart of the system. It is what pumps water upward and into the household or designated water system. The two most popular types of pumps used today are jet pumps and submersible pumps. Both pumps rely on centrifugal force in order to force water upward.

How to Calculate Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered?

Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered calculator uses Depth of Water in the Pumping Well = sqrt((Saturated Thickness of the Aquifer)^2-((Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(pi*Coefficient of Permeability))) to calculate the Depth of Water in the Pumping Well, The Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered formula is defined as water level in well of certain radius in catchment under study. Depth of Water in the Pumping Well is denoted by h_w symbol.

How to calculate Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered using this online calculator? To use this online calculator for Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered, enter Saturated Thickness of the Aquifer (H), Steady Flow of an Unconfined Aquifer (Q_u), Radius at the Edge of Zone of Influence (r), Radius of the Pumping Well (R_w) & Coefficient of Permeability (K) and hit the calculate button. Here is how the Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered calculation can be explained with given input values -> 29.94862 = sqrt((35)^2-((65*ln(25/6))/(pi*0.09))).

FAQ

What is Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered?

The Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered formula is defined as water level in well of certain radius in catchment under study and is represented as h_w = sqrt((H)^2-((Q_u*ln(r/R_w))/(pi*K))) or Depth of Water in the Pumping Well = sqrt((Saturated Thickness of the Aquifer)^2-((Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(pi*Coefficient of Permeability))). The Saturated Thickness of the Aquifer refers to the vertical height of the aquifer in which the pore spaces are completely filled with water, The Steady Flow of an Unconfined Aquifer refers to a condition where the groundwater flow rate and the water table level remain constant over time, The Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected, The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge & The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.

How to calculate Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered?

The Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered formula is defined as water level in well of certain radius in catchment under study is calculated using Depth of Water in the Pumping Well = sqrt((Saturated Thickness of the Aquifer)^2-((Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(pi*Coefficient of Permeability))). To calculate Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered, you need Saturated Thickness of the Aquifer (H), Steady Flow of an Unconfined Aquifer (Q_u), Radius at the Edge of Zone of Influence (r), Radius of the Pumping Well (R_w) & Coefficient of Permeability (K). With our tool, you need to enter the respective value for Saturated Thickness of the Aquifer, Steady Flow of an Unconfined Aquifer, Radius at the Edge of Zone of Influence, Radius of the Pumping Well & Coefficient of Permeability 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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